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Simplifying x(5x + -3) = 26 Reorder the terms: x(-3 + 5x) = 26 (-3 * x + 5x * x) = 26 (-3x + 5x2) = 26 Solving -3x + 5x2 = 26 Solving for variable 'x'. Reorder the terms: -26 + -3x + 5x2 = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + -3x + 5x2 = 0 Factor a trinomial. (-2 + -1x)(13 + -5x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(13 + -5x)' equal to zero and attempt to solve: Simplifying 13 + -5x = 0 Solving 13 + -5x = 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 + -5x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = 0 + -13 -5x = 0 + -13 Combine like terms: 0 + -13 = -13 -5x = -13 Divide each side by '-5'. x = 2.6 Simplifying x = 2.6Solution
x = {-2, 2.6}
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