(2x-1)(x+2)-(x+4)(x-1)=0

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Solution for (2x-1)(x+2)-(x+4)(x-1)=0 equation: 


Simplifying
(2x + -1)(x + 2) + -1(x + 4)(x + -1) = 0

Reorder the terms:
(-1 + 2x)(x + 2) + -1(x + 4)(x + -1) = 0

Reorder the terms:
(-1 + 2x)(2 + x) + -1(x + 4)(x + -1) = 0

Multiply (-1 + 2x) * (2 + x)
(-1(2 + x) + 2x * (2 + x)) + -1(x + 4)(x + -1) = 0
((2 * -1 + x * -1) + 2x * (2 + x)) + -1(x + 4)(x + -1) = 0
((-2 + -1x) + 2x * (2 + x)) + -1(x + 4)(x + -1) = 0
(-2 + -1x + (2 * 2x + x * 2x)) + -1(x + 4)(x + -1) = 0
(-2 + -1x + (4x + 2x2)) + -1(x + 4)(x + -1) = 0

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

Reorder the terms:
-2 + 3x + 2x2 + -1(4 + x)(x + -1) = 0

Reorder the terms:
-2 + 3x + 2x2 + -1(4 + x)(-1 + x) = 0

Multiply (4 + x) * (-1 + x)
-2 + 3x + 2x2 + -1(4(-1 + x) + x(-1 + x)) = 0
-2 + 3x + 2x2 + -1((-1 * 4 + x * 4) + x(-1 + x)) = 0
-2 + 3x + 2x2 + -1((-4 + 4x) + x(-1 + x)) = 0
-2 + 3x + 2x2 + -1(-4 + 4x + (-1 * x + x * x)) = 0
-2 + 3x + 2x2 + -1(-4 + 4x + (-1x + x2)) = 0

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

Reorder the terms:
-2 + 4 + 3x + -3x + 2x2 + -1x2 = 0

Combine like terms: -2 + 4 = 2
2 + 3x + -3x + 2x2 + -1x2 = 0

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

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

Solving
2 + 1x2 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 1x2 = 0 + -2

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

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

Divide each side by '1'.
x2 = -2

Simplifying
x2 = -2

Reorder the terms:
2 + x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + x2 = 0

The solution to this equation could not be determined.

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