(x^2-4x-12)(5x-30)=0

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Solution for (x^2-4x-12)(5x-30)=0 equation: 


Simplifying
(x2 + -4x + -12)(5x + -30) = 0

Reorder the terms:
(-12 + -4x + x2)(5x + -30) = 0

Reorder the terms:
(-12 + -4x + x2)(-30 + 5x) = 0

Multiply (-12 + -4x + x2) * (-30 + 5x)
(-12(-30 + 5x) + -4x * (-30 + 5x) + x2(-30 + 5x)) = 0
((-30 * -12 + 5x * -12) + -4x * (-30 + 5x) + x2(-30 + 5x)) = 0
((360 + -60x) + -4x * (-30 + 5x) + x2(-30 + 5x)) = 0
(360 + -60x + (-30 * -4x + 5x * -4x) + x2(-30 + 5x)) = 0
(360 + -60x + (120x + -20x2) + x2(-30 + 5x)) = 0
(360 + -60x + 120x + -20x2 + (-30 * x2 + 5x * x2)) = 0
(360 + -60x + 120x + -20x2 + (-30x2 + 5x3)) = 0

Combine like terms: -60x + 120x = 60x
(360 + 60x + -20x2 + -30x2 + 5x3) = 0

Combine like terms: -20x2 + -30x2 = -50x2
(360 + 60x + -50x2 + 5x3) = 0

Solving
360 + 60x + -50x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(72 + 12x + -10x2 + x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(72 + 12x + -10x2 + x3)' equal to zero and attempt to solve:

Simplifying
72 + 12x + -10x2 + x3 = 0

Solving
72 + 12x + -10x2 + 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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