(2x-14)(x^2+10x+21)=0

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Solution for (2x-14)(x^2+10x+21)=0 equation:


Simplifying
(2x + -14)(x2 + 10x + 21) = 0

Reorder the terms:
(-14 + 2x)(x2 + 10x + 21) = 0

Reorder the terms:
(-14 + 2x)(21 + 10x + x2) = 0

Multiply (-14 + 2x) * (21 + 10x + x2)
(-14(21 + 10x + x2) + 2x * (21 + 10x + x2)) = 0
((21 * -14 + 10x * -14 + x2 * -14) + 2x * (21 + 10x + x2)) = 0
((-294 + -140x + -14x2) + 2x * (21 + 10x + x2)) = 0
(-294 + -140x + -14x2 + (21 * 2x + 10x * 2x + x2 * 2x)) = 0
(-294 + -140x + -14x2 + (42x + 20x2 + 2x3)) = 0

Reorder the terms:
(-294 + -140x + 42x + -14x2 + 20x2 + 2x3) = 0

Combine like terms: -140x + 42x = -98x
(-294 + -98x + -14x2 + 20x2 + 2x3) = 0

Combine like terms: -14x2 + 20x2 = 6x2
(-294 + -98x + 6x2 + 2x3) = 0

Solving
-294 + -98x + 6x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-147 + -49x + 3x2 + x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-147 + -49x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying -147 + -49x + 3x2 + x3 = 0 Solving -147 + -49x + 3x2 + 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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