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

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


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

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

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

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

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

Multiply x * x
-2 + -1x + x2 = x2 + 4x

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

Add '-1x2' to each side of the equation.
-2 + -1x + x2 + -1x2 = 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -1x + 0 = 4x + x2 + -1x2
-2 + -1x = 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -1x = 4x + 0
-2 + -1x = 4x

Solving
-2 + -1x = 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.
-2 + -1x + -4x = 4x + -4x

Combine like terms: -1x + -4x = -5x
-2 + -5x = 4x + -4x

Combine like terms: 4x + -4x = 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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