(X^2+2x-15)(4x-32)=0

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Solution for (X^2+2x-15)(4x-32)=0 equation: 


Simplifying
(X2 + 2x + -15)(4x + -32) = 0

Reorder the terms:
(-15 + X2 + 2x)(4x + -32) = 0

Reorder the terms:
(-15 + X2 + 2x)(-32 + 4x) = 0

Multiply (-15 + X2 + 2x) * (-32 + 4x)
(-15(-32 + 4x) + X2(-32 + 4x) + 2x * (-32 + 4x)) = 0
((-32 * -15 + 4x * -15) + X2(-32 + 4x) + 2x * (-32 + 4x)) = 0
((480 + -60x) + X2(-32 + 4x) + 2x * (-32 + 4x)) = 0
(480 + -60x + (-32 * X2 + 4x * X2) + 2x * (-32 + 4x)) = 0
(480 + -60x + (-32X2 + 4xX2) + 2x * (-32 + 4x)) = 0
(480 + -60x + -32X2 + 4xX2 + (-32 * 2x + 4x * 2x)) = 0
(480 + -60x + -32X2 + 4xX2 + (-64x + 8x2)) = 0

Reorder the terms:
(480 + -32X2 + -60x + -64x + 4xX2 + 8x2) = 0

Combine like terms: -60x + -64x = -124x
(480 + -32X2 + -124x + 4xX2 + 8x2) = 0

Solving
480 + -32X2 + -124x + 4xX2 + 8x2 = 0

Solving for variable 'X'.

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

Add '-480' to each side of the equation.
480 + -32X2 + -124x + 4xX2 + -480 + 8x2 = 0 + -480

Reorder the terms:
480 + -480 + -32X2 + -124x + 4xX2 + 8x2 = 0 + -480

Combine like terms: 480 + -480 = 0
0 + -32X2 + -124x + 4xX2 + 8x2 = 0 + -480
-32X2 + -124x + 4xX2 + 8x2 = 0 + -480

Combine like terms: 0 + -480 = -480
-32X2 + -124x + 4xX2 + 8x2 = -480

Add '124x' to each side of the equation.
-32X2 + -124x + 4xX2 + 124x + 8x2 = -480 + 124x

Reorder the terms:
-32X2 + -124x + 124x + 4xX2 + 8x2 = -480 + 124x

Combine like terms: -124x + 124x = 0
-32X2 + 0 + 4xX2 + 8x2 = -480 + 124x
-32X2 + 4xX2 + 8x2 = -480 + 124x

Add '-8x2' to each side of the equation.
-32X2 + 4xX2 + 8x2 + -8x2 = -480 + 124x + -8x2

Combine like terms: 8x2 + -8x2 = 0
-32X2 + 4xX2 + 0 = -480 + 124x + -8x2
-32X2 + 4xX2 = -480 + 124x + -8x2

Reorder the terms:
480 + -32X2 + -124x + 4xX2 + 8x2 = -480 + 124x + -8x2 + 480 + -124x + 8x2

Reorder the terms:
480 + -32X2 + -124x + 4xX2 + 8x2 = -480 + 480 + 124x + -124x + -8x2 + 8x2

Combine like terms: -480 + 480 = 0
480 + -32X2 + -124x + 4xX2 + 8x2 = 0 + 124x + -124x + -8x2 + 8x2
480 + -32X2 + -124x + 4xX2 + 8x2 = 124x + -124x + -8x2 + 8x2

Combine like terms: 124x + -124x = 0
480 + -32X2 + -124x + 4xX2 + 8x2 = 0 + -8x2 + 8x2
480 + -32X2 + -124x + 4xX2 + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
480 + -32X2 + -124x + 4xX2 + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(120 + -8X2 + -31x + xX2 + 2x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(120 + -8X2 + -31x + xX2 + 2x2)' equal to zero and attempt to solve:

Simplifying
120 + -8X2 + -31x + xX2 + 2x2 = 0

Solving
120 + -8X2 + -31x + xX2 + 2x2 = 0

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

Add '-120' to each side of the equation.
120 + -8X2 + -31x + xX2 + -120 + 2x2 = 0 + -120

Reorder the terms:
120 + -120 + -8X2 + -31x + xX2 + 2x2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -8X2 + -31x + xX2 + 2x2 = 0 + -120
-8X2 + -31x + xX2 + 2x2 = 0 + -120

Combine like terms: 0 + -120 = -120
-8X2 + -31x + xX2 + 2x2 = -120

Add '31x' to each side of the equation.
-8X2 + -31x + xX2 + 31x + 2x2 = -120 + 31x

Reorder the terms:
-8X2 + -31x + 31x + xX2 + 2x2 = -120 + 31x

Combine like terms: -31x + 31x = 0
-8X2 + 0 + xX2 + 2x2 = -120 + 31x
-8X2 + xX2 + 2x2 = -120 + 31x

Add '-2x2' to each side of the equation.
-8X2 + xX2 + 2x2 + -2x2 = -120 + 31x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-8X2 + xX2 + 0 = -120 + 31x + -2x2
-8X2 + xX2 = -120 + 31x + -2x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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