(2x-14)(x^2+9x+18)=0

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Solution for (2x-14)(x^2+9x+18)=0 equation:


Simplifying
(2x + -14)(x2 + 9x + 18) = 0

Reorder the terms:
(-14 + 2x)(x2 + 9x + 18) = 0

Reorder the terms:
(-14 + 2x)(18 + 9x + x2) = 0

Multiply (-14 + 2x) * (18 + 9x + x2)
(-14(18 + 9x + x2) + 2x * (18 + 9x + x2)) = 0
((18 * -14 + 9x * -14 + x2 * -14) + 2x * (18 + 9x + x2)) = 0
((-252 + -126x + -14x2) + 2x * (18 + 9x + x2)) = 0
(-252 + -126x + -14x2 + (18 * 2x + 9x * 2x + x2 * 2x)) = 0
(-252 + -126x + -14x2 + (36x + 18x2 + 2x3)) = 0

Reorder the terms:
(-252 + -126x + 36x + -14x2 + 18x2 + 2x3) = 0

Combine like terms: -126x + 36x = -90x
(-252 + -90x + -14x2 + 18x2 + 2x3) = 0

Combine like terms: -14x2 + 18x2 = 4x2
(-252 + -90x + 4x2 + 2x3) = 0

Solving
-252 + -90x + 4x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-126 + -45x + 2x2 + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-126 + -45x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying -126 + -45x + 2x2 + x3 = 0 Solving -126 + -45x + 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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