36=(5+x)(x)

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Solution for 36=(5+x)(x) equation:


Simplifying
36 = (5 + x)(x)

Reorder the terms for easier multiplication:
36 = x(5 + x)
36 = (5 * x + x * x)
36 = (5x + x2)

Solving
36 = 5x + x2

Solving for variable 'x'.

Reorder the terms:
36 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
36 + -5x + -1x2 = 0 + x2 + -1x2
36 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -5x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(9 + x) = 0

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Solution

x = {4, -9}

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