(6x+36)(x^2-6x-7)=0

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Solution for (6x+36)(x^2-6x-7)=0 equation:


Simplifying
(6x + 36)(x2 + -6x + -7) = 0

Reorder the terms:
(36 + 6x)(x2 + -6x + -7) = 0

Reorder the terms:
(36 + 6x)(-7 + -6x + x2) = 0

Multiply (36 + 6x) * (-7 + -6x + x2)
(36(-7 + -6x + x2) + 6x * (-7 + -6x + x2)) = 0
((-7 * 36 + -6x * 36 + x2 * 36) + 6x * (-7 + -6x + x2)) = 0
((-252 + -216x + 36x2) + 6x * (-7 + -6x + x2)) = 0
(-252 + -216x + 36x2 + (-7 * 6x + -6x * 6x + x2 * 6x)) = 0
(-252 + -216x + 36x2 + (-42x + -36x2 + 6x3)) = 0

Reorder the terms:
(-252 + -216x + -42x + 36x2 + -36x2 + 6x3) = 0

Combine like terms: -216x + -42x = -258x
(-252 + -258x + 36x2 + -36x2 + 6x3) = 0

Combine like terms: 36x2 + -36x2 = 0
(-252 + -258x + 0 + 6x3) = 0
(-252 + -258x + 6x3) = 0

Solving
-252 + -258x + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-42 + -43x + x3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-42 + -43x + x3)' equal to zero and attempt to solve: Simplifying -42 + -43x + x3 = 0 Solving -42 + -43x + 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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