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Simplifying 5x2 + -16x + -52 = 0 Reorder the terms: -52 + -16x + 5x2 = 0 Solving -52 + -16x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(26 + -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 '(26 + -5x)' equal to zero and attempt to solve: Simplifying 26 + -5x = 0 Solving 26 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -5x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -5x = 0 + -26 -5x = 0 + -26 Combine like terms: 0 + -26 = -26 -5x = -26 Divide each side by '-5'. x = 5.2 Simplifying x = 5.2Solution
x = {-2, 5.2}
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