x(13+20x)=72

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Solution for x(13+20x)=72 equation:


Simplifying
x(13 + 20x) = 72
(13 * x + 20x * x) = 72
(13x + 20x2) = 72

Solving
13x + 20x2 = 72

Solving for variable 'x'.

Reorder the terms:
-72 + 13x + 20x2 = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + 13x + 20x2 = 0

Factor a trinomial.
(-9 + -4x)(8 + -5x) = 0

Subproblem 1

Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25

Subproblem 2

Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6

Solution

x = {-2.25, 1.6}

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