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Simplifying x(2x + -15) = 50 Reorder the terms: x(-15 + 2x) = 50 (-15 * x + 2x * x) = 50 (-15x + 2x2) = 50 Solving -15x + 2x2 = 50 Solving for variable 'x'. Reorder the terms: -50 + -15x + 2x2 = 50 + -50 Combine like terms: 50 + -50 = 0 -50 + -15x + 2x2 = 0 Factor a trinomial. (-5 + -2x)(10 + -1x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 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 = 10Solution
x = {-2.5, 10}
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