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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) = 0Subproblem 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 = -125Subproblem 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 = 123Solution
x = {-125, 123}
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