x(x)+10x+15=90

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Solution for x(x)+10x+15=90 equation:


Simplifying
x(x) + 10x + 15 = 90

Multiply x * x
x2 + 10x + 15 = 90

Reorder the terms:
15 + 10x + x2 = 90

Solving
15 + 10x + x2 = 90

Solving for variable 'x'.

Reorder the terms:
15 + -90 + 10x + x2 = 90 + -90

Combine like terms: 15 + -90 = -75
-75 + 10x + x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-75 + 10x + x2 = 0

Factor a trinomial.
(-15 + -1x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-15, 5}

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