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Simplifying x2 + -75x + 650 = 0 Reorder the terms: 650 + -75x + x2 = 0 Solving 650 + -75x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -1x)(65 + -1x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(65 + -1x)' equal to zero and attempt to solve: Simplifying 65 + -1x = 0 Solving 65 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -1x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -1x = 0 + -65 -1x = 0 + -65 Combine like terms: 0 + -65 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65Solution
x = {10, 65}
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