4(x-7)(x-9)(x+4)=0

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Solution for 4(x-7)(x-9)(x+4)=0 equation: 


Simplifying
4(x + -7)(x + -9)(x + 4) = 0

Reorder the terms:
4(-7 + x)(x + -9)(x + 4) = 0

Reorder the terms:
4(-7 + x)(-9 + x)(x + 4) = 0

Reorder the terms:
4(-7 + x)(-9 + x)(4 + x) = 0

Multiply (-7 + x) * (-9 + x)
4(-7(-9 + x) + x(-9 + x))(4 + x) = 0
4((-9 * -7 + x * -7) + x(-9 + x))(4 + x) = 0
4((63 + -7x) + x(-9 + x))(4 + x) = 0
4(63 + -7x + (-9 * x + x * x))(4 + x) = 0
4(63 + -7x + (-9x + x2))(4 + x) = 0

Combine like terms: -7x + -9x = -16x
4(63 + -16x + x2)(4 + x) = 0

Multiply (63 + -16x + x2) * (4 + x)
4(63(4 + x) + -16x * (4 + x) + x2(4 + x)) = 0
4((4 * 63 + x * 63) + -16x * (4 + x) + x2(4 + x)) = 0
4((252 + 63x) + -16x * (4 + x) + x2(4 + x)) = 0
4(252 + 63x + (4 * -16x + x * -16x) + x2(4 + x)) = 0
4(252 + 63x + (-64x + -16x2) + x2(4 + x)) = 0
4(252 + 63x + -64x + -16x2 + (4 * x2 + x * x2)) = 0
4(252 + 63x + -64x + -16x2 + (4x2 + x3)) = 0

Combine like terms: 63x + -64x = -1x
4(252 + -1x + -16x2 + 4x2 + x3) = 0

Combine like terms: -16x2 + 4x2 = -12x2
4(252 + -1x + -12x2 + x3) = 0
(252 * 4 + -1x * 4 + -12x2 * 4 + x3 * 4) = 0
(1008 + -4x + -48x2 + 4x3) = 0

Solving
1008 + -4x + -48x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(252 + -1x + -12x2 + x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(252 + -1x + -12x2 + x3)' equal to zero and attempt to solve:

Simplifying
252 + -1x + -12x2 + x3 = 0

Solving
252 + -1x + -12x2 + 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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