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

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


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

Reorder the terms:
2x(1 + x) + -2 = 2(x + -3)(x + 3)
(1 * 2x + x * 2x) + -2 = 2(x + -3)(x + 3)
(2x + 2x2) + -2 = 2(x + -3)(x + 3)

Reorder the terms:
-2 + 2x + 2x2 = 2(x + -3)(x + 3)

Reorder the terms:
-2 + 2x + 2x2 = 2(-3 + x)(x + 3)

Reorder the terms:
-2 + 2x + 2x2 = 2(-3 + x)(3 + x)

Multiply (-3 + x) * (3 + x)
-2 + 2x + 2x2 = 2(-3(3 + x) + x(3 + x))
-2 + 2x + 2x2 = 2((3 * -3 + x * -3) + x(3 + x))
-2 + 2x + 2x2 = 2((-9 + -3x) + x(3 + x))
-2 + 2x + 2x2 = 2(-9 + -3x + (3 * x + x * x))
-2 + 2x + 2x2 = 2(-9 + -3x + (3x + x2))

Combine like terms: -3x + 3x = 0
-2 + 2x + 2x2 = 2(-9 + 0 + x2)
-2 + 2x + 2x2 = 2(-9 + x2)
-2 + 2x + 2x2 = (-9 * 2 + x2 * 2)
-2 + 2x + 2x2 = (-18 + 2x2)

Add '-2x2' to each side of the equation.
-2 + 2x + 2x2 + -2x2 = -18 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 2x + 0 = -18 + 2x2 + -2x2
-2 + 2x = -18 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 2x = -18 + 0
-2 + 2x = -18

Solving
-2 + 2x = -18

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 2x = -18 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = -18 + 2
2x = -18 + 2

Combine like terms: -18 + 2 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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