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Simplifying (2x + -5)(x) = 52 Reorder the terms: (-5 + 2x)(x) = 52 Reorder the terms for easier multiplication: x(-5 + 2x) = 52 (-5 * x + 2x * x) = 52 (-5x + 2x2) = 52 Solving -5x + 2x2 = 52 Solving for variable 'x'. Reorder the terms: -52 + -5x + 2x2 = 52 + -52 Combine like terms: 52 + -52 = 0 -52 + -5x + 2x2 = 0 Factor a trinomial. (-4 + -1x)(13 + -2x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5Solution
x = {-4, 6.5}
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