4(x-7)(x-8)(x+7)=0

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Solution for 4(x-7)(x-8)(x+7)=0 equation: 


Simplifying
4(x + -7)(x + -8)(x + 7) = 0

Reorder the terms:
4(-7 + x)(x + -8)(x + 7) = 0

Reorder the terms:
4(-7 + x)(-8 + x)(x + 7) = 0

Reorder the terms:
4(-7 + x)(-8 + x)(7 + x) = 0

Multiply (-7 + x) * (-8 + x)
4(-7(-8 + x) + x(-8 + x))(7 + x) = 0
4((-8 * -7 + x * -7) + x(-8 + x))(7 + x) = 0
4((56 + -7x) + x(-8 + x))(7 + x) = 0
4(56 + -7x + (-8 * x + x * x))(7 + x) = 0
4(56 + -7x + (-8x + x2))(7 + x) = 0

Combine like terms: -7x + -8x = -15x
4(56 + -15x + x2)(7 + x) = 0

Multiply (56 + -15x + x2) * (7 + x)
4(56(7 + x) + -15x * (7 + x) + x2(7 + x)) = 0
4((7 * 56 + x * 56) + -15x * (7 + x) + x2(7 + x)) = 0
4((392 + 56x) + -15x * (7 + x) + x2(7 + x)) = 0
4(392 + 56x + (7 * -15x + x * -15x) + x2(7 + x)) = 0
4(392 + 56x + (-105x + -15x2) + x2(7 + x)) = 0
4(392 + 56x + -105x + -15x2 + (7 * x2 + x * x2)) = 0
4(392 + 56x + -105x + -15x2 + (7x2 + x3)) = 0

Combine like terms: 56x + -105x = -49x
4(392 + -49x + -15x2 + 7x2 + x3) = 0

Combine like terms: -15x2 + 7x2 = -8x2
4(392 + -49x + -8x2 + x3) = 0
(392 * 4 + -49x * 4 + -8x2 * 4 + x3 * 4) = 0
(1568 + -196x + -32x2 + 4x3) = 0

Solving
1568 + -196x + -32x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(392 + -49x + -8x2 + x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(392 + -49x + -8x2 + x3)' equal to zero and attempt to solve:

Simplifying
392 + -49x + -8x2 + x3 = 0

Solving
392 + -49x + -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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