X(2x-5)+x(2x-3)=(4x+4)(x-2)

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Solution for X(2x-5)+x(2x-3)=(4x+4)(x-2) equation: 


Simplifying
X(2x + -5) + x(2x + -3) = (4x + 4)(x + -2)

Reorder the terms:
X(-5 + 2x) + x(2x + -3) = (4x + 4)(x + -2)
(-5 * X + 2x * X) + x(2x + -3) = (4x + 4)(x + -2)
(-5X + 2xX) + x(2x + -3) = (4x + 4)(x + -2)

Reorder the terms:
-5X + 2xX + x(-3 + 2x) = (4x + 4)(x + -2)
-5X + 2xX + (-3 * x + 2x * x) = (4x + 4)(x + -2)
-5X + 2xX + (-3x + 2x2) = (4x + 4)(x + -2)

Reorder the terms:
-5X + -3x + 2xX + 2x2 = (4x + 4)(x + -2)

Reorder the terms:
-5X + -3x + 2xX + 2x2 = (4 + 4x)(x + -2)

Reorder the terms:
-5X + -3x + 2xX + 2x2 = (4 + 4x)(-2 + x)

Multiply (4 + 4x) * (-2 + x)
-5X + -3x + 2xX + 2x2 = (4(-2 + x) + 4x * (-2 + x))
-5X + -3x + 2xX + 2x2 = ((-2 * 4 + x * 4) + 4x * (-2 + x))
-5X + -3x + 2xX + 2x2 = ((-8 + 4x) + 4x * (-2 + x))
-5X + -3x + 2xX + 2x2 = (-8 + 4x + (-2 * 4x + x * 4x))
-5X + -3x + 2xX + 2x2 = (-8 + 4x + (-8x + 4x2))

Combine like terms: 4x + -8x = -4x
-5X + -3x + 2xX + 2x2 = (-8 + -4x + 4x2)

Solving
-5X + -3x + 2xX + 2x2 = -8 + -4x + 4x2

Solving for variable 'X'.

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

Add '3x' to each side of the equation.
-5X + -3x + 2xX + 3x + 2x2 = -8 + -4x + 3x + 4x2

Reorder the terms:
-5X + -3x + 3x + 2xX + 2x2 = -8 + -4x + 3x + 4x2

Combine like terms: -3x + 3x = 0
-5X + 0 + 2xX + 2x2 = -8 + -4x + 3x + 4x2
-5X + 2xX + 2x2 = -8 + -4x + 3x + 4x2

Combine like terms: -4x + 3x = -1x
-5X + 2xX + 2x2 = -8 + -1x + 4x2

Add '-2x2' to each side of the equation.
-5X + 2xX + 2x2 + -2x2 = -8 + -1x + 4x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5X + 2xX + 0 = -8 + -1x + 4x2 + -2x2
-5X + 2xX = -8 + -1x + 4x2 + -2x2

Combine like terms: 4x2 + -2x2 = 2x2
-5X + 2xX = -8 + -1x + 2x2

Reorder the terms:
8 + -5X + x + 2xX + -2x2 = -8 + -1x + 2x2 + 8 + x + -2x2

Reorder the terms:
8 + -5X + x + 2xX + -2x2 = -8 + 8 + -1x + x + 2x2 + -2x2

Combine like terms: -8 + 8 = 0
8 + -5X + x + 2xX + -2x2 = 0 + -1x + x + 2x2 + -2x2
8 + -5X + x + 2xX + -2x2 = -1x + x + 2x2 + -2x2

Combine like terms: -1x + x = 0
8 + -5X + x + 2xX + -2x2 = 0 + 2x2 + -2x2
8 + -5X + x + 2xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8 + -5X + x + 2xX + -2x2 = 0

The solution to this equation could not be determined.

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