(x^2-6x-7)(4x+32)=0

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Solution for (x^2-6x-7)(4x+32)=0 equation: 


Simplifying
(x2 + -6x + -7)(4x + 32) = 0

Reorder the terms:
(-7 + -6x + x2)(4x + 32) = 0

Reorder the terms:
(-7 + -6x + x2)(32 + 4x) = 0

Multiply (-7 + -6x + x2) * (32 + 4x)
(-7(32 + 4x) + -6x * (32 + 4x) + x2(32 + 4x)) = 0
((32 * -7 + 4x * -7) + -6x * (32 + 4x) + x2(32 + 4x)) = 0
((-224 + -28x) + -6x * (32 + 4x) + x2(32 + 4x)) = 0
(-224 + -28x + (32 * -6x + 4x * -6x) + x2(32 + 4x)) = 0
(-224 + -28x + (-192x + -24x2) + x2(32 + 4x)) = 0
(-224 + -28x + -192x + -24x2 + (32 * x2 + 4x * x2)) = 0
(-224 + -28x + -192x + -24x2 + (32x2 + 4x3)) = 0

Combine like terms: -28x + -192x = -220x
(-224 + -220x + -24x2 + 32x2 + 4x3) = 0

Combine like terms: -24x2 + 32x2 = 8x2
(-224 + -220x + 8x2 + 4x3) = 0

Solving
-224 + -220x + 8x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-56 + -55x + 2x2 + x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-56 + -55x + 2x2 + x3)' equal to zero and attempt to solve:

Simplifying
-56 + -55x + 2x2 + x3 = 0

Solving
-56 + -55x + 2x2 + x3 = 0

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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