x(7x-8)=(7x+2)(x-2)

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Solution for x(7x-8)=(7x+2)(x-2) equation:


Simplifying
x(7x + -8) = (7x + 2)(x + -2)

Reorder the terms:
x(-8 + 7x) = (7x + 2)(x + -2)
(-8 * x + 7x * x) = (7x + 2)(x + -2)
(-8x + 7x2) = (7x + 2)(x + -2)

Reorder the terms:
-8x + 7x2 = (2 + 7x)(x + -2)

Reorder the terms:
-8x + 7x2 = (2 + 7x)(-2 + x)

Multiply (2 + 7x) * (-2 + x)
-8x + 7x2 = (2(-2 + x) + 7x * (-2 + x))
-8x + 7x2 = ((-2 * 2 + x * 2) + 7x * (-2 + x))
-8x + 7x2 = ((-4 + 2x) + 7x * (-2 + x))
-8x + 7x2 = (-4 + 2x + (-2 * 7x + x * 7x))
-8x + 7x2 = (-4 + 2x + (-14x + 7x2))

Combine like terms: 2x + -14x = -12x
-8x + 7x2 = (-4 + -12x + 7x2)

Add '-7x2' to each side of the equation.
-8x + 7x2 + -7x2 = -4 + -12x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-8x + 0 = -4 + -12x + 7x2 + -7x2
-8x = -4 + -12x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-8x = -4 + -12x + 0
-8x = -4 + -12x

Solving
-8x = -4 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-8x + 12x = -4 + -12x + 12x

Combine like terms: -8x + 12x = 4x
4x = -4 + -12x + 12x

Combine like terms: -12x + 12x = 0
4x = -4 + 0
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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