(x-7)(x+4)(2x-6)=

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Solution for (x-7)(x+4)(2x-6)= equation: 


Simplifying
(x + -7)(x + 4)(2x + -6) = 0

Reorder the terms:
(-7 + x)(x + 4)(2x + -6) = 0

Reorder the terms:
(-7 + x)(4 + x)(2x + -6) = 0

Reorder the terms:
(-7 + x)(4 + x)(-6 + 2x) = 0

Multiply (-7 + x) * (4 + x)
(-7(4 + x) + x(4 + x))(-6 + 2x) = 0
((4 * -7 + x * -7) + x(4 + x))(-6 + 2x) = 0
((-28 + -7x) + x(4 + x))(-6 + 2x) = 0
(-28 + -7x + (4 * x + x * x))(-6 + 2x) = 0
(-28 + -7x + (4x + x2))(-6 + 2x) = 0

Combine like terms: -7x + 4x = -3x
(-28 + -3x + x2)(-6 + 2x) = 0

Multiply (-28 + -3x + x2) * (-6 + 2x)
(-28(-6 + 2x) + -3x * (-6 + 2x) + x2(-6 + 2x)) = 0
((-6 * -28 + 2x * -28) + -3x * (-6 + 2x) + x2(-6 + 2x)) = 0
((168 + -56x) + -3x * (-6 + 2x) + x2(-6 + 2x)) = 0
(168 + -56x + (-6 * -3x + 2x * -3x) + x2(-6 + 2x)) = 0
(168 + -56x + (18x + -6x2) + x2(-6 + 2x)) = 0
(168 + -56x + 18x + -6x2 + (-6 * x2 + 2x * x2)) = 0
(168 + -56x + 18x + -6x2 + (-6x2 + 2x3)) = 0

Combine like terms: -56x + 18x = -38x
(168 + -38x + -6x2 + -6x2 + 2x3) = 0

Combine like terms: -6x2 + -6x2 = -12x2
(168 + -38x + -12x2 + 2x3) = 0

Solving
168 + -38x + -12x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(84 + -19x + -6x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(84 + -19x + -6x2 + x3)' equal to zero and attempt to solve:

Simplifying
84 + -19x + -6x2 + x3 = 0

Solving
84 + -19x + -6x2 + 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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