4x^2-x(x-3)-(1-x)(1+x)=1-2[1-2x(x-1)]

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Solution for 4x^2-x(x-3)-(1-x)(1+x)=1-2[1-2x(x-1)] equation:


Simplifying
4x2 + -1x(x + -3) + -1(1 + -1x)(1 + x) = 1 + -2[1 + -2x(x + -1)]

Reorder the terms:
4x2 + -1x(-3 + x) + -1(1 + -1x)(1 + x) = 1 + -2[1 + -2x(x + -1)]
4x2 + (-3 * -1x + x * -1x) + -1(1 + -1x)(1 + x) = 1 + -2[1 + -2x(x + -1)]
4x2 + (3x + -1x2) + -1(1 + -1x)(1 + x) = 1 + -2[1 + -2x(x + -1)]

Multiply (1 + -1x) * (1 + x)
4x2 + 3x + -1x2 + -1(1(1 + x) + -1x * (1 + x)) = 1 + -2[1 + -2x(x + -1)]
4x2 + 3x + -1x2 + -1((1 * 1 + x * 1) + -1x * (1 + x)) = 1 + -2[1 + -2x(x + -1)]
4x2 + 3x + -1x2 + -1((1 + 1x) + -1x * (1 + x)) = 1 + -2[1 + -2x(x + -1)]
4x2 + 3x + -1x2 + -1(1 + 1x + (1 * -1x + x * -1x)) = 1 + -2[1 + -2x(x + -1)]
4x2 + 3x + -1x2 + -1(1 + 1x + (-1x + -1x2)) = 1 + -2[1 + -2x(x + -1)]

Combine like terms: 1x + -1x = 0
4x2 + 3x + -1x2 + -1(1 + 0 + -1x2) = 1 + -2[1 + -2x(x + -1)]
4x2 + 3x + -1x2 + -1(1 + -1x2) = 1 + -2[1 + -2x(x + -1)]
4x2 + 3x + -1x2 + (1 * -1 + -1x2 * -1) = 1 + -2[1 + -2x(x + -1)]
4x2 + 3x + -1x2 + (-1 + 1x2) = 1 + -2[1 + -2x(x + -1)]

Reorder the terms:
-1 + 3x + 4x2 + -1x2 + 1x2 = 1 + -2[1 + -2x(x + -1)]

Combine like terms: 4x2 + -1x2 = 3x2
-1 + 3x + 3x2 + 1x2 = 1 + -2[1 + -2x(x + -1)]

Combine like terms: 3x2 + 1x2 = 4x2
-1 + 3x + 4x2 = 1 + -2[1 + -2x(x + -1)]

Reorder the terms:
-1 + 3x + 4x2 = 1 + -2[1 + -2x(-1 + x)]
-1 + 3x + 4x2 = 1 + -2[1 + (-1 * -2x + x * -2x)]
-1 + 3x + 4x2 = 1 + -2[1 + (2x + -2x2)]
-1 + 3x + 4x2 = 1 + [1 * -2 + 2x * -2 + -2x2 * -2]
-1 + 3x + 4x2 = 1 + [-2 + -4x + 4x2]

Combine like terms: 1 + -2 = -1
-1 + 3x + 4x2 = -1 + -4x + 4x2

Add '1' to each side of the equation.
-1 + 3x + 1 + 4x2 = -1 + -4x + 1 + 4x2

Reorder the terms:
-1 + 1 + 3x + 4x2 = -1 + -4x + 1 + 4x2

Combine like terms: -1 + 1 = 0
0 + 3x + 4x2 = -1 + -4x + 1 + 4x2
3x + 4x2 = -1 + -4x + 1 + 4x2

Reorder the terms:
3x + 4x2 = -1 + 1 + -4x + 4x2

Combine like terms: -1 + 1 = 0
3x + 4x2 = 0 + -4x + 4x2
3x + 4x2 = -4x + 4x2

Add '-4x2' to each side of the equation.
3x + 4x2 + -4x2 = -4x + 4x2 + -4x2

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

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

Solving
3x = -4x

Solving for variable 'x'.

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

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

Combine like terms: 3x + 4x = 7x
7x = -4x + 4x

Combine like terms: -4x + 4x = 0
7x = 0

Divide each side by '7'.
x = 0

Simplifying
x = 0

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