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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. (-62 + 5x)(2 + -1x) = 0Subproblem 1
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 = 12.4Subproblem 2
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 = 2Solution
x = {12.4, 2}
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