31x^2+62x-11160=0

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Solution for 31x^2+62x-11160=0 equation:


Simplifying
31x2 + 62x + -11160 = 0

Reorder the terms:
-11160 + 62x + 31x2 = 0

Solving
-11160 + 62x + 31x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '31'.
31(-360 + 2x + x2) = 0

Factor a trinomial.
31((-20 + -1x)(18 + -1x)) = 0

Ignore the factor 31.

Subproblem 1

Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20

Subproblem 2

Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18

Solution

x = {-20, 18}

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