31x(x+4)=9920

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Solution for 31x(x+4)=9920 equation:


Simplifying
31x(x + 4) = 9920

Reorder the terms:
31x(4 + x) = 9920
(4 * 31x + x * 31x) = 9920
(124x + 31x2) = 9920

Solving
124x + 31x2 = 9920

Solving for variable 'x'.

Reorder the terms:
-9920 + 124x + 31x2 = 9920 + -9920

Combine like terms: 9920 + -9920 = 0
-9920 + 124x + 31x2 = 0

Factor out the Greatest Common Factor (GCF), '31'.
31(-320 + 4x + x2) = 0

Factor a trinomial.
31((-20 + -1x)(16 + -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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16

Solution

x = {-20, 16}

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