(3x-21)(x^2+x-12)=0

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Solution for (3x-21)(x^2+x-12)=0 equation:


Simplifying
(3x + -21)(x2 + x + -12) = 0

Reorder the terms:
(-21 + 3x)(x2 + x + -12) = 0

Reorder the terms:
(-21 + 3x)(-12 + x + x2) = 0

Multiply (-21 + 3x) * (-12 + x + x2)
(-21(-12 + x + x2) + 3x * (-12 + x + x2)) = 0
((-12 * -21 + x * -21 + x2 * -21) + 3x * (-12 + x + x2)) = 0
((252 + -21x + -21x2) + 3x * (-12 + x + x2)) = 0
(252 + -21x + -21x2 + (-12 * 3x + x * 3x + x2 * 3x)) = 0
(252 + -21x + -21x2 + (-36x + 3x2 + 3x3)) = 0

Reorder the terms:
(252 + -21x + -36x + -21x2 + 3x2 + 3x3) = 0

Combine like terms: -21x + -36x = -57x
(252 + -57x + -21x2 + 3x2 + 3x3) = 0

Combine like terms: -21x2 + 3x2 = -18x2
(252 + -57x + -18x2 + 3x3) = 0

Solving
252 + -57x + -18x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(84 + -19x + -6x2 + x3) = 0

Ignore the factor 3.

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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