x(x+2)=15375

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Solution for x(x+2)=15375 equation:


Simplifying
x(x + 2) = 15375

Reorder the terms:
x(2 + x) = 15375
(2 * x + x * x) = 15375
(2x + x2) = 15375

Solving
2x + x2 = 15375

Solving for variable 'x'.

Reorder the terms:
-15375 + 2x + x2 = 15375 + -15375

Combine like terms: 15375 + -15375 = 0
-15375 + 2x + x2 = 0

Factor a trinomial.
(-125 + -1x)(123 + -1x) = 0

Subproblem 1

Set the factor '(-125 + -1x)' equal to zero and attempt to solve: Simplifying -125 + -1x = 0 Solving -125 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + -1x = 0 + 125 Combine like terms: -125 + 125 = 0 0 + -1x = 0 + 125 -1x = 0 + 125 Combine like terms: 0 + 125 = 125 -1x = 125 Divide each side by '-1'. x = -125 Simplifying x = -125

Subproblem 2

Set the factor '(123 + -1x)' equal to zero and attempt to solve: Simplifying 123 + -1x = 0 Solving 123 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-123' to each side of the equation. 123 + -123 + -1x = 0 + -123 Combine like terms: 123 + -123 = 0 0 + -1x = 0 + -123 -1x = 0 + -123 Combine like terms: 0 + -123 = -123 -1x = -123 Divide each side by '-1'. x = 123 Simplifying x = 123

Solution

x = {-125, 123}

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