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

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


Simplifying
(x + -7)(4x2 + 4x + -6) = 0

Reorder the terms:
(-7 + x)(4x2 + 4x + -6) = 0

Reorder the terms:
(-7 + x)(-6 + 4x + 4x2) = 0

Multiply (-7 + x) * (-6 + 4x + 4x2)
(-7(-6 + 4x + 4x2) + x(-6 + 4x + 4x2)) = 0
((-6 * -7 + 4x * -7 + 4x2 * -7) + x(-6 + 4x + 4x2)) = 0
((42 + -28x + -28x2) + x(-6 + 4x + 4x2)) = 0
(42 + -28x + -28x2 + (-6 * x + 4x * x + 4x2 * x)) = 0
(42 + -28x + -28x2 + (-6x + 4x2 + 4x3)) = 0

Reorder the terms:
(42 + -28x + -6x + -28x2 + 4x2 + 4x3) = 0

Combine like terms: -28x + -6x = -34x
(42 + -34x + -28x2 + 4x2 + 4x3) = 0

Combine like terms: -28x2 + 4x2 = -24x2
(42 + -34x + -24x2 + 4x3) = 0

Solving
42 + -34x + -24x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + -17x + -12x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(21 + -17x + -12x2 + 2x3)' equal to zero and attempt to solve: Simplifying 21 + -17x + -12x2 + 2x3 = 0 Solving 21 + -17x + -12x2 + 2x3 = 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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