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

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


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

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

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

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

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

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

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

Reorder the terms:
2 + -1x + 3x2 = 3x(-2 + x)
2 + -1x + 3x2 = (-2 * 3x + x * 3x)
2 + -1x + 3x2 = (-6x + 3x2)

Add '-3x2' to each side of the equation.
2 + -1x + 3x2 + -3x2 = -6x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
2 + -1x + 0 = -6x + 3x2 + -3x2
2 + -1x = -6x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
2 + -1x = -6x + 0
2 + -1x = -6x

Solving
2 + -1x = -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.
2 + -1x + 6x = -6x + 6x

Combine like terms: -1x + 6x = 5x
2 + 5x = -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 5x = 0

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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