(x^2+2x-15)(3x-12)=0

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Solution for (x^2+2x-15)(3x-12)=0 equation:


Simplifying
(x2 + 2x + -15)(3x + -12) = 0

Reorder the terms:
(-15 + 2x + x2)(3x + -12) = 0

Reorder the terms:
(-15 + 2x + x2)(-12 + 3x) = 0

Multiply (-15 + 2x + x2) * (-12 + 3x)
(-15(-12 + 3x) + 2x * (-12 + 3x) + x2(-12 + 3x)) = 0
((-12 * -15 + 3x * -15) + 2x * (-12 + 3x) + x2(-12 + 3x)) = 0
((180 + -45x) + 2x * (-12 + 3x) + x2(-12 + 3x)) = 0
(180 + -45x + (-12 * 2x + 3x * 2x) + x2(-12 + 3x)) = 0
(180 + -45x + (-24x + 6x2) + x2(-12 + 3x)) = 0
(180 + -45x + -24x + 6x2 + (-12 * x2 + 3x * x2)) = 0
(180 + -45x + -24x + 6x2 + (-12x2 + 3x3)) = 0

Combine like terms: -45x + -24x = -69x
(180 + -69x + 6x2 + -12x2 + 3x3) = 0

Combine like terms: 6x2 + -12x2 = -6x2
(180 + -69x + -6x2 + 3x3) = 0

Solving
180 + -69x + -6x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(60 + -23x + -2x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(60 + -23x + -2x2 + x3)' equal to zero and attempt to solve:

Simplifying
60 + -23x + -2x2 + x3 = 0

Solving
60 + -23x + -2x2 + 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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