(X+2)(x-7)=(2x+1)(x-7)

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


Simplifying
(X + 2)(x + -7) = (2x + 1)(x + -7)

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

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

Multiply (2 + X) * (-7 + x)
(2(-7 + x) + X(-7 + x)) = (2x + 1)(x + -7)
((-7 * 2 + x * 2) + X(-7 + x)) = (2x + 1)(x + -7)
((-14 + 2x) + X(-7 + x)) = (2x + 1)(x + -7)
(-14 + 2x + (-7 * X + x * X)) = (2x + 1)(x + -7)
(-14 + 2x + (-7X + xX)) = (2x + 1)(x + -7)

Reorder the terms:
(-14 + -7X + 2x + xX) = (2x + 1)(x + -7)
(-14 + -7X + 2x + xX) = (2x + 1)(x + -7)

Reorder the terms:
-14 + -7X + 2x + xX = (1 + 2x)(x + -7)

Reorder the terms:
-14 + -7X + 2x + xX = (1 + 2x)(-7 + x)

Multiply (1 + 2x) * (-7 + x)
-14 + -7X + 2x + xX = (1(-7 + x) + 2x * (-7 + x))
-14 + -7X + 2x + xX = ((-7 * 1 + x * 1) + 2x * (-7 + x))
-14 + -7X + 2x + xX = ((-7 + 1x) + 2x * (-7 + x))
-14 + -7X + 2x + xX = (-7 + 1x + (-7 * 2x + x * 2x))
-14 + -7X + 2x + xX = (-7 + 1x + (-14x + 2x2))

Combine like terms: 1x + -14x = -13x
-14 + -7X + 2x + xX = (-7 + -13x + 2x2)

Solving
-14 + -7X + 2x + xX = -7 + -13x + 2x2

Solving for variable 'X'.

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

Add '14' to each side of the equation.
-14 + -7X + 2x + 14 + xX = -7 + -13x + 14 + 2x2

Reorder the terms:
-14 + 14 + -7X + 2x + xX = -7 + -13x + 14 + 2x2

Combine like terms: -14 + 14 = 0
0 + -7X + 2x + xX = -7 + -13x + 14 + 2x2
-7X + 2x + xX = -7 + -13x + 14 + 2x2

Reorder the terms:
-7X + 2x + xX = -7 + 14 + -13x + 2x2

Combine like terms: -7 + 14 = 7
-7X + 2x + xX = 7 + -13x + 2x2

Add '-2x' to each side of the equation.
-7X + 2x + -2x + xX = 7 + -13x + -2x + 2x2

Combine like terms: 2x + -2x = 0
-7X + 0 + xX = 7 + -13x + -2x + 2x2
-7X + xX = 7 + -13x + -2x + 2x2

Combine like terms: -13x + -2x = -15x
-7X + xX = 7 + -15x + 2x2

Reorder the terms:
-7 + -7X + 15x + xX + -2x2 = 7 + -15x + 2x2 + -7 + 15x + -2x2

Reorder the terms:
-7 + -7X + 15x + xX + -2x2 = 7 + -7 + -15x + 15x + 2x2 + -2x2

Combine like terms: 7 + -7 = 0
-7 + -7X + 15x + xX + -2x2 = 0 + -15x + 15x + 2x2 + -2x2
-7 + -7X + 15x + xX + -2x2 = -15x + 15x + 2x2 + -2x2

Combine like terms: -15x + 15x = 0
-7 + -7X + 15x + xX + -2x2 = 0 + 2x2 + -2x2
-7 + -7X + 15x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-7 + -7X + 15x + xX + -2x2 = 0

The solution to this equation could not be determined.

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