(2x-1)*(2x-1)-4(x-1)*(x-1)=6x

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Solution for (2x-1)*(2x-1)-4(x-1)*(x-1)=6x equation:


Simplifying
(2x + -1)(2x + -1) + -4(x + -1)(x + -1) = 6x

Reorder the terms:
(-1 + 2x)(2x + -1) + -4(x + -1)(x + -1) = 6x

Reorder the terms:
(-1 + 2x)(-1 + 2x) + -4(x + -1)(x + -1) = 6x

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

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

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

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

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

Combine like terms: -1x + -1x = -2x
1 + -4x + 4x2 + -4(1 + -2x + x2) = 6x
1 + -4x + 4x2 + (1 * -4 + -2x * -4 + x2 * -4) = 6x
1 + -4x + 4x2 + (-4 + 8x + -4x2) = 6x

Reorder the terms:
1 + -4 + -4x + 8x + 4x2 + -4x2 = 6x

Combine like terms: 1 + -4 = -3
-3 + -4x + 8x + 4x2 + -4x2 = 6x

Combine like terms: -4x + 8x = 4x
-3 + 4x + 4x2 + -4x2 = 6x

Combine like terms: 4x2 + -4x2 = 0
-3 + 4x + 0 = 6x
-3 + 4x = 6x

Solving
-3 + 4x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 4x + -6x = 6x + -6x

Combine like terms: 4x + -6x = -2x
-3 + -2x = 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -2x = 0

Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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