(x+2)(x+3)(x-1)=(x+4)(x+4)(x-4)+7

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Solution for (x+2)(x+3)(x-1)=(x+4)(x+4)(x-4)+7 equation:


Simplifying
(x + 2)(x + 3)(x + -1) = (x + 4)(x + 4)(x + -4) + 7

Reorder the terms:
(2 + x)(x + 3)(x + -1) = (x + 4)(x + 4)(x + -4) + 7

Reorder the terms:
(2 + x)(3 + x)(x + -1) = (x + 4)(x + 4)(x + -4) + 7

Reorder the terms:
(2 + x)(3 + x)(-1 + x) = (x + 4)(x + 4)(x + -4) + 7

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x))(-1 + x) = (x + 4)(x + 4)(x + -4) + 7
((3 * 2 + x * 2) + x(3 + x))(-1 + x) = (x + 4)(x + 4)(x + -4) + 7
((6 + 2x) + x(3 + x))(-1 + x) = (x + 4)(x + 4)(x + -4) + 7
(6 + 2x + (3 * x + x * x))(-1 + x) = (x + 4)(x + 4)(x + -4) + 7
(6 + 2x + (3x + x2))(-1 + x) = (x + 4)(x + 4)(x + -4) + 7

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2)(-1 + x) = (x + 4)(x + 4)(x + -4) + 7

Multiply (6 + 5x + x2) * (-1 + x)
(6(-1 + x) + 5x * (-1 + x) + x2(-1 + x)) = (x + 4)(x + 4)(x + -4) + 7
((-1 * 6 + x * 6) + 5x * (-1 + x) + x2(-1 + x)) = (x + 4)(x + 4)(x + -4) + 7
((-6 + 6x) + 5x * (-1 + x) + x2(-1 + x)) = (x + 4)(x + 4)(x + -4) + 7
(-6 + 6x + (-1 * 5x + x * 5x) + x2(-1 + x)) = (x + 4)(x + 4)(x + -4) + 7
(-6 + 6x + (-5x + 5x2) + x2(-1 + x)) = (x + 4)(x + 4)(x + -4) + 7
(-6 + 6x + -5x + 5x2 + (-1 * x2 + x * x2)) = (x + 4)(x + 4)(x + -4) + 7
(-6 + 6x + -5x + 5x2 + (-1x2 + x3)) = (x + 4)(x + 4)(x + -4) + 7

Combine like terms: 6x + -5x = 1x
(-6 + 1x + 5x2 + -1x2 + x3) = (x + 4)(x + 4)(x + -4) + 7

Combine like terms: 5x2 + -1x2 = 4x2
(-6 + 1x + 4x2 + x3) = (x + 4)(x + 4)(x + -4) + 7

Reorder the terms:
-6 + 1x + 4x2 + x3 = (4 + x)(x + 4)(x + -4) + 7

Reorder the terms:
-6 + 1x + 4x2 + x3 = (4 + x)(4 + x)(x + -4) + 7

Reorder the terms:
-6 + 1x + 4x2 + x3 = (4 + x)(4 + x)(-4 + x) + 7

Multiply (4 + x) * (4 + x)
-6 + 1x + 4x2 + x3 = (4(4 + x) + x(4 + x))(-4 + x) + 7
-6 + 1x + 4x2 + x3 = ((4 * 4 + x * 4) + x(4 + x))(-4 + x) + 7
-6 + 1x + 4x2 + x3 = ((16 + 4x) + x(4 + x))(-4 + x) + 7
-6 + 1x + 4x2 + x3 = (16 + 4x + (4 * x + x * x))(-4 + x) + 7
-6 + 1x + 4x2 + x3 = (16 + 4x + (4x + x2))(-4 + x) + 7

Combine like terms: 4x + 4x = 8x
-6 + 1x + 4x2 + x3 = (16 + 8x + x2)(-4 + x) + 7

Multiply (16 + 8x + x2) * (-4 + x)
-6 + 1x + 4x2 + x3 = (16(-4 + x) + 8x * (-4 + x) + x2(-4 + x)) + 7
-6 + 1x + 4x2 + x3 = ((-4 * 16 + x * 16) + 8x * (-4 + x) + x2(-4 + x)) + 7
-6 + 1x + 4x2 + x3 = ((-64 + 16x) + 8x * (-4 + x) + x2(-4 + x)) + 7
-6 + 1x + 4x2 + x3 = (-64 + 16x + (-4 * 8x + x * 8x) + x2(-4 + x)) + 7
-6 + 1x + 4x2 + x3 = (-64 + 16x + (-32x + 8x2) + x2(-4 + x)) + 7
-6 + 1x + 4x2 + x3 = (-64 + 16x + -32x + 8x2 + (-4 * x2 + x * x2)) + 7
-6 + 1x + 4x2 + x3 = (-64 + 16x + -32x + 8x2 + (-4x2 + x3)) + 7

Combine like terms: 16x + -32x = -16x
-6 + 1x + 4x2 + x3 = (-64 + -16x + 8x2 + -4x2 + x3) + 7

Combine like terms: 8x2 + -4x2 = 4x2
-6 + 1x + 4x2 + x3 = (-64 + -16x + 4x2 + x3) + 7

Reorder the terms:
-6 + 1x + 4x2 + x3 = -64 + 7 + -16x + 4x2 + x3

Combine like terms: -64 + 7 = -57
-6 + 1x + 4x2 + x3 = -57 + -16x + 4x2 + x3

Add '-4x2' to each side of the equation.
-6 + 1x + 4x2 + -4x2 + x3 = -57 + -16x + 4x2 + -4x2 + x3

Combine like terms: 4x2 + -4x2 = 0
-6 + 1x + 0 + x3 = -57 + -16x + 4x2 + -4x2 + x3
-6 + 1x + x3 = -57 + -16x + 4x2 + -4x2 + x3

Combine like terms: 4x2 + -4x2 = 0
-6 + 1x + x3 = -57 + -16x + 0 + x3
-6 + 1x + x3 = -57 + -16x + x3

Add '-1x3' to each side of the equation.
-6 + 1x + x3 + -1x3 = -57 + -16x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-6 + 1x + 0 = -57 + -16x + x3 + -1x3
-6 + 1x = -57 + -16x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-6 + 1x = -57 + -16x + 0
-6 + 1x = -57 + -16x

Solving
-6 + 1x = -57 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-6 + 1x + 16x = -57 + -16x + 16x

Combine like terms: 1x + 16x = 17x
-6 + 17x = -57 + -16x + 16x

Combine like terms: -16x + 16x = 0
-6 + 17x = -57 + 0
-6 + 17x = -57

Add '6' to each side of the equation.
-6 + 6 + 17x = -57 + 6

Combine like terms: -6 + 6 = 0
0 + 17x = -57 + 6
17x = -57 + 6

Combine like terms: -57 + 6 = -51
17x = -51

Divide each side by '17'.
x = -3

Simplifying
x = -3

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