(X-1)(x-3)(x-5)(x-7)+15=0

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Solution for (X-1)(x-3)(x-5)(x-7)+15=0 equation:

Simplifying
(X + -1)(x + -3)(x + -5)(x + -7) + 15 = 0

Reorder the terms:
(-1 + X)(x + -3)(x + -5)(x + -7) + 15 = 0

Reorder the terms:
(-1 + X)(-3 + x)(x + -5)(x + -7) + 15 = 0

Reorder the terms:
(-1 + X)(-3 + x)(-5 + x)(x + -7) + 15 = 0

Reorder the terms:
(-1 + X)(-3 + x)(-5 + x)(-7 + x) + 15 = 0

Multiply (-1 + X) * (-3 + x)
(-1(-3 + x) + X(-3 + x))(-5 + x)(-7 + x) + 15 = 0
((-3 * -1 + x * -1) + X(-3 + x))(-5 + x)(-7 + x) + 15 = 0
((3 + -1x) + X(-3 + x))(-5 + x)(-7 + x) + 15 = 0
(3 + -1x + (-3 * X + x * X))(-5 + x)(-7 + x) + 15 = 0
(3 + -1x + (-3X + xX))(-5 + x)(-7 + x) + 15 = 0

Reorder the terms:
(3 + -3X + -1x + xX)(-5 + x)(-7 + x) + 15 = 0
(3 + -3X + -1x + xX)(-5 + x)(-7 + x) + 15 = 0

Multiply (3 + -3X + -1x + xX) * (-5 + x)
(3(-5 + x) + -3X * (-5 + x) + -1x * (-5 + x) + xX(-5 + x))(-7 + x) + 15 = 0
((-5 * 3 + x * 3) + -3X * (-5 + x) + -1x * (-5 + x) + xX(-5 + x))(-7 + x) + 15 = 0
((-15 + 3x) + -3X * (-5 + x) + -1x * (-5 + x) + xX(-5 + x))(-7 + x) + 15 = 0
(-15 + 3x + (-5 * -3X + x * -3X) + -1x * (-5 + x) + xX(-5 + x))(-7 + x) + 15 = 0
(-15 + 3x + (15X + -3xX) + -1x * (-5 + x) + xX(-5 + x))(-7 + x) + 15 = 0
(-15 + 3x + 15X + -3xX + (-5 * -1x + x * -1x) + xX(-5 + x))(-7 + x) + 15 = 0
(-15 + 3x + 15X + -3xX + (5x + -1x²) + xX(-5 + x))(-7 + x) + 15 = 0
(-15 + 3x + 15X + -3xX + 5x + -1x² + (-5 * xX + x * xX))(-7 + x) + 15 = 0
(-15 + 3x + 15X + -3xX + 5x + -1x² + (-5xX + x²X))(-7 + x) + 15 = 0

Reorder the terms:
(-15 + 15X + 3x + 5x + -3xX + -5xX + -1x² + x²X)(-7 + x) + 15 = 0

Combine like terms: 3x + 5x = 8x
(-15 + 15X + 8x + -3xX + -5xX + -1x² + x²X)(-7 + x) + 15 = 0

Combine like terms: -3xX + -5xX = -8xX
(-15 + 15X + 8x + -8xX + -1x² + x²X)(-7 + x) + 15 = 0

Multiply (-15 + 15X + 8x + -8xX + -1x² + x²X) * (-7 + x)
(-15(-7 + x) + 15X * (-7 + x) + 8x * (-7 + x) + -8xX * (-7 + x) + -1x² * (-7 + x) + x²X(-7 + x)) + 15 = 0
((-7 * -15 + x * -15) + 15X * (-7 + x) + 8x * (-7 + x) + -8xX * (-7 + x) + -1x² * (-7 + x) + x²X(-7 + x)) + 15 = 0
((105 + -15x) + 15X * (-7 + x) + 8x * (-7 + x) + -8xX * (-7 + x) + -1x² * (-7 + x) + x²X(-7 + x)) + 15 = 0
(105 + -15x + (-7 * 15X + x * 15X) + 8x * (-7 + x) + -8xX * (-7 + x) + -1x² * (-7 + x) + x²X(-7 + x)) + 15 = 0
(105 + -15x + (-105X + 15xX) + 8x * (-7 + x) + -8xX * (-7 + x) + -1x² * (-7 + x) + x²X(-7 + x)) + 15 = 0
(105 + -15x + -105X + 15xX + (-7 * 8x + x * 8x) + -8xX * (-7 + x) + -1x² * (-7 + x) + x²X(-7 + x)) + 15 = 0
(105 + -15x + -105X + 15xX + (-56x + 8x²) + -8xX * (-7 + x) + -1x² * (-7 + x) + x²X(-7 + x)) + 15 = 0
(105 + -15x + -105X + 15xX + -56x + 8x² + (-7 * -8xX + x * -8xX) + -1x² * (-7 + x) + x²X(-7 + x)) + 15 = 0
(105 + -15x + -105X + 15xX + -56x + 8x² + (56xX + -8x²X) + -1x² * (-7 + x) + x²X(-7 + x)) + 15 = 0
(105 + -15x + -105X + 15xX + -56x + 8x² + 56xX + -8x²X + (-7 * -1x² + x * -1x²) + x²X(-7 + x)) + 15 = 0
(105 + -15x + -105X + 15xX + -56x + 8x² + 56xX + -8x²X + (7x² + -1x³) + x²X(-7 + x)) + 15 = 0
(105 + -15x + -105X + 15xX + -56x + 8x² + 56xX + -8x²X + 7x² + -1x³ + (-7 * x²X + x * x²X)) + 15 = 0
(105 + -15x + -105X + 15xX + -56x + 8x² + 56xX + -8x²X + 7x² + -1x³ + (-7x²X + x³X)) + 15 = 0

Reorder the terms:
(105 + -105X + -15x + -56x + 15xX + 56xX + 8x² + 7x² + -8x²X + -7x²X + -1x³ + x³X) + 15 = 0

Combine like terms: -15x + -56x = -71x
(105 + -105X + -71x + 15xX + 56xX + 8x² + 7x² + -8x²X + -7x²X + -1x³ + x³X) + 15 = 0

Combine like terms: 15xX + 56xX = 71xX
(105 + -105X + -71x + 71xX + 8x² + 7x² + -8x²X + -7x²X + -1x³ + x³X) + 15 = 0

Combine like terms: 8x² + 7x² = 15x²
(105 + -105X + -71x + 71xX + 15x² + -8x²X + -7x²X + -1x³ + x³X) + 15 = 0

Combine like terms: -8x²X + -7x²X = -15x²X
(105 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X) + 15 = 0

Reorder the terms:
105 + 15 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 0

Combine like terms: 105 + 15 = 120
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 0

Solving
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-120' to each side of the equation.
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + -120 + x³X = 0 + -120

Reorder the terms:
120 + -120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 0 + -120
-105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 0 + -120

Combine like terms: 0 + -120 = -120
-105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = -120

Add '71x' to each side of the equation.
-105X + -71x + 71xX + 15x² + -15x²X + -1x³ + 71x + x³X = -120 + 71x

Reorder the terms:
-105X + -71x + 71x + 71xX + 15x² + -15x²X + -1x³ + x³X = -120 + 71x

Combine like terms: -71x + 71x = 0
-105X + 0 + 71xX + 15x² + -15x²X + -1x³ + x³X = -120 + 71x
-105X + 71xX + 15x² + -15x²X + -1x³ + x³X = -120 + 71x

Add '-15x²' to each side of the equation.
-105X + 71xX + 15x² + -15x²X + -1x³ + -15x² + x³X = -120 + 71x + -15x²

Reorder the terms:
-105X + 71xX + 15x² + -15x² + -15x²X + -1x³ + x³X = -120 + 71x + -15x²

Combine like terms: 15x² + -15x² = 0
-105X + 71xX + 0 + -15x²X + -1x³ + x³X = -120 + 71x + -15x²
-105X + 71xX + -15x²X + -1x³ + x³X = -120 + 71x + -15x²

Add 'x³' to each side of the equation.
-105X + 71xX + -15x²X + -1x³ + x³ + x³X = -120 + 71x + -15x² + x³

Combine like terms: -1x³ + x³ = 0
-105X + 71xX + -15x²X + 0 + x³X = -120 + 71x + -15x² + x³
-105X + 71xX + -15x²X + x³X = -120 + 71x + -15x² + x³

Reorder the terms:
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = -120 + 71x + -15x² + x³ + 120 + -71x + 15x² + -1x³

Reorder the terms:
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = -120 + 120 + 71x + -71x + -15x² + 15x² + x³ + -1x³

Combine like terms: -120 + 120 = 0
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 0 + 71x + -71x + -15x² + 15x² + x³ + -1x³
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 71x + -71x + -15x² + 15x² + x³ + -1x³

Combine like terms: 71x + -71x = 0
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 0 + -15x² + 15x² + x³ + -1x³
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = -15x² + 15x² + x³ + -1x³

Combine like terms: -15x² + 15x² = 0
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 0 + x³ + -1x³
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = x³ + -1x³

Combine like terms: x³ + -1x³ = 0
120 + -105X + -71x + 71xX + 15x² + -15x²X + -1x³ + x³X = 0

The solution to this equation could not be determined.

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(X-1)(x-3)(x-5)(x-7)+15=0

Simple and best practice solution for (X-1)(x-3)(x-5)(x-7)+15=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (X-1)(x-3)(x-5)(x-7)+15=0 equation:

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