(x^2+10x+21)(4x-8)=0

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Solution for (x^2+10x+21)(4x-8)=0 equation: 


Simplifying
(x2 + 10x + 21)(4x + -8) = 0

Reorder the terms:
(21 + 10x + x2)(4x + -8) = 0

Reorder the terms:
(21 + 10x + x2)(-8 + 4x) = 0

Multiply (21 + 10x + x2) * (-8 + 4x)
(21(-8 + 4x) + 10x * (-8 + 4x) + x2(-8 + 4x)) = 0
((-8 * 21 + 4x * 21) + 10x * (-8 + 4x) + x2(-8 + 4x)) = 0
((-168 + 84x) + 10x * (-8 + 4x) + x2(-8 + 4x)) = 0
(-168 + 84x + (-8 * 10x + 4x * 10x) + x2(-8 + 4x)) = 0
(-168 + 84x + (-80x + 40x2) + x2(-8 + 4x)) = 0
(-168 + 84x + -80x + 40x2 + (-8 * x2 + 4x * x2)) = 0
(-168 + 84x + -80x + 40x2 + (-8x2 + 4x3)) = 0

Combine like terms: 84x + -80x = 4x
(-168 + 4x + 40x2 + -8x2 + 4x3) = 0

Combine like terms: 40x2 + -8x2 = 32x2
(-168 + 4x + 32x2 + 4x3) = 0

Solving
-168 + 4x + 32x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-42 + x + 8x2 + x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-42 + x + 8x2 + x3)' equal to zero and attempt to solve:

Simplifying
-42 + x + 8x2 + x3 = 0

Solving
-42 + x + 8x2 + 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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