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Simplifying 5x2 + -72x + 124 = 0 Reorder the terms: 124 + -72x + 5x2 = 0 Solving 124 + -72x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(62 + -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 '(62 + -5x)' equal to zero and attempt to solve: Simplifying 62 + -5x = 0 Solving 62 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -5x = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -5x = 0 + -62 -5x = 0 + -62 Combine like terms: 0 + -62 = -62 -5x = -62 Divide each side by '-5'. x = 12.4 Simplifying x = 12.4Solution
x = {2, 12.4}
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