2(x-1)(2x^2+2x+16)=0

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Solution for 2(x-1)(2x^2+2x+16)=0 equation: 


Simplifying
2(x + -1)(2x2 + 2x + 16) = 0

Reorder the terms:
2(-1 + x)(2x2 + 2x + 16) = 0

Reorder the terms:
2(-1 + x)(16 + 2x + 2x2) = 0

Multiply (-1 + x) * (16 + 2x + 2x2)
2(-1(16 + 2x + 2x2) + x(16 + 2x + 2x2)) = 0
2((16 * -1 + 2x * -1 + 2x2 * -1) + x(16 + 2x + 2x2)) = 0
2((-16 + -2x + -2x2) + x(16 + 2x + 2x2)) = 0
2(-16 + -2x + -2x2 + (16 * x + 2x * x + 2x2 * x)) = 0
2(-16 + -2x + -2x2 + (16x + 2x2 + 2x3)) = 0

Reorder the terms:
2(-16 + -2x + 16x + -2x2 + 2x2 + 2x3) = 0

Combine like terms: -2x + 16x = 14x
2(-16 + 14x + -2x2 + 2x2 + 2x3) = 0

Combine like terms: -2x2 + 2x2 = 0
2(-16 + 14x + 0 + 2x3) = 0
2(-16 + 14x + 2x3) = 0
(-16 * 2 + 14x * 2 + 2x3 * 2) = 0
(-32 + 28x + 4x3) = 0

Solving
-32 + 28x + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + 7x + x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-8 + 7x + x3)' equal to zero and attempt to solve:

Simplifying
-8 + 7x + x3 = 0

Solving
-8 + 7x + 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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