x(5+x)=150

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Solution for x(5+x)=150 equation:


Simplifying
x(5 + x) = 150
(5 * x + x * x) = 150
(5x + x2) = 150

Solving
5x + x2 = 150

Solving for variable 'x'.

Reorder the terms:
-150 + 5x + x2 = 150 + -150

Combine like terms: 150 + -150 = 0
-150 + 5x + x2 = 0

Factor a trinomial.
(-15 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {-15, 10}

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