x(x+5)=126

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Solution for x(x+5)=126 equation:


Simplifying
x(x + 5) = 126

Reorder the terms:
x(5 + x) = 126
(5 * x + x * x) = 126
(5x + x2) = 126

Solving
5x + x2 = 126

Solving for variable 'x'.

Reorder the terms:
-126 + 5x + x2 = 126 + -126

Combine like terms: 126 + -126 = 0
-126 + 5x + x2 = 0

Factor a trinomial.
(-14 + -1x)(9 + -1x) = 0

Subproblem 1

Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-14, 9}

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