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Simplifying x(2x + -5) = 75 Reorder the terms: x(-5 + 2x) = 75 (-5 * x + 2x * x) = 75 (-5x + 2x2) = 75 Solving -5x + 2x2 = 75 Solving for variable 'x'. Reorder the terms: -75 + -5x + 2x2 = 75 + -75 Combine like terms: 75 + -75 = 0 -75 + -5x + 2x2 = 0 Factor a trinomial. (-5 + -1x)(15 + -2x) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 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 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5Solution
x = {-5, 7.5}
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