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Simplifying 5x2 + -53x + 114 = 0 Reorder the terms: 114 + -53x + 5x2 = 0 Solving 114 + -53x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(38 + -5x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(38 + -5x)' equal to zero and attempt to solve: Simplifying 38 + -5x = 0 Solving 38 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -5x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = 0 + -38 -5x = 0 + -38 Combine like terms: 0 + -38 = -38 -5x = -38 Divide each side by '-5'. x = 7.6 Simplifying x = 7.6Solution
x = {3, 7.6}
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