(x+0.66)(x-0.66)-2x(x-1)=2(x-0.66)

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Solution for (x+0.66)(x-0.66)-2x(x-1)=2(x-0.66) equation: 


Simplifying
(x + 0.66)(x + -0.66) + -2x(x + -1) = 2(x + -0.66)

Reorder the terms:
(0.66 + x)(x + -0.66) + -2x(x + -1) = 2(x + -0.66)

Reorder the terms:
(0.66 + x)(-0.66 + x) + -2x(x + -1) = 2(x + -0.66)

Multiply (0.66 + x) * (-0.66 + x)
(0.66(-0.66 + x) + x(-0.66 + x)) + -2x(x + -1) = 2(x + -0.66)
((-0.66 * 0.66 + x * 0.66) + x(-0.66 + x)) + -2x(x + -1) = 2(x + -0.66)
((-0.4356 + 0.66x) + x(-0.66 + x)) + -2x(x + -1) = 2(x + -0.66)
(-0.4356 + 0.66x + (-0.66 * x + x * x)) + -2x(x + -1) = 2(x + -0.66)
(-0.4356 + 0.66x + (-0.66x + x2)) + -2x(x + -1) = 2(x + -0.66)

Combine like terms: 0.66x + -0.66x = 0.00
(-0.4356 + 0.00 + x2) + -2x(x + -1) = 2(x + -0.66)
(-0.4356 + x2) + -2x(x + -1) = 2(x + -0.66)

Reorder the terms:
-0.4356 + x2 + -2x(-1 + x) = 2(x + -0.66)
-0.4356 + x2 + (-1 * -2x + x * -2x) = 2(x + -0.66)
-0.4356 + x2 + (2x + -2x2) = 2(x + -0.66)

Reorder the terms:
-0.4356 + 2x + x2 + -2x2 = 2(x + -0.66)

Combine like terms: x2 + -2x2 = -1x2
-0.4356 + 2x + -1x2 = 2(x + -0.66)

Reorder the terms:
-0.4356 + 2x + -1x2 = 2(-0.66 + x)
-0.4356 + 2x + -1x2 = (-0.66 * 2 + x * 2)
-0.4356 + 2x + -1x2 = (-1.32 + 2x)

Add '-2x' to each side of the equation.
-0.4356 + 2x + -2x + -1x2 = -1.32 + 2x + -2x

Combine like terms: 2x + -2x = 0
-0.4356 + 0 + -1x2 = -1.32 + 2x + -2x
-0.4356 + -1x2 = -1.32 + 2x + -2x

Combine like terms: 2x + -2x = 0
-0.4356 + -1x2 = -1.32 + 0
-0.4356 + -1x2 = -1.32

Solving
-0.4356 + -1x2 = -1.32

Solving for variable 'x'.

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

Add '0.4356' to each side of the equation.
-0.4356 + 0.4356 + -1x2 = -1.32 + 0.4356

Combine like terms: -0.4356 + 0.4356 = 0.0000
0.0000 + -1x2 = -1.32 + 0.4356
-1x2 = -1.32 + 0.4356

Combine like terms: -1.32 + 0.4356 = -0.8844
-1x2 = -0.8844

Divide each side by '-1'.
x2 = 0.8844

Simplifying
x2 = 0.8844

Take the square root of each side:
x = {-0.940425436, 0.940425436}

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