(4x+16)(x^2+4x-21)=0

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Solution for (4x+16)(x^2+4x-21)=0 equation:


Simplifying
(4x + 16)(x2 + 4x + -21) = 0

Reorder the terms:
(16 + 4x)(x2 + 4x + -21) = 0

Reorder the terms:
(16 + 4x)(-21 + 4x + x2) = 0

Multiply (16 + 4x) * (-21 + 4x + x2)
(16(-21 + 4x + x2) + 4x * (-21 + 4x + x2)) = 0
((-21 * 16 + 4x * 16 + x2 * 16) + 4x * (-21 + 4x + x2)) = 0
((-336 + 64x + 16x2) + 4x * (-21 + 4x + x2)) = 0
(-336 + 64x + 16x2 + (-21 * 4x + 4x * 4x + x2 * 4x)) = 0
(-336 + 64x + 16x2 + (-84x + 16x2 + 4x3)) = 0

Reorder the terms:
(-336 + 64x + -84x + 16x2 + 16x2 + 4x3) = 0

Combine like terms: 64x + -84x = -20x
(-336 + -20x + 16x2 + 16x2 + 4x3) = 0

Combine like terms: 16x2 + 16x2 = 32x2
(-336 + -20x + 32x2 + 4x3) = 0

Solving
-336 + -20x + 32x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-84 + -5x + 8x2 + x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-84 + -5x + 8x2 + x3)' equal to zero and attempt to solve: Simplifying -84 + -5x + 8x2 + x3 = 0 Solving -84 + -5x + 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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