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Simplifying 7x2 + -5x = 650 Reorder the terms: -5x + 7x2 = 650 Solving -5x + 7x2 = 650 Solving for variable 'x'. Reorder the terms: -650 + -5x + 7x2 = 650 + -650 Combine like terms: 650 + -650 = 0 -650 + -5x + 7x2 = 0 Factor a trinomial. (-65 + -7x)(10 + -1x) = 0Subproblem 1
Set the factor '(-65 + -7x)' equal to zero and attempt to solve: Simplifying -65 + -7x = 0 Solving -65 + -7x = 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 + -7x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -7x = 0 + 65 -7x = 0 + 65 Combine like terms: 0 + 65 = 65 -7x = 65 Divide each side by '-7'. x = -9.285714286 Simplifying x = -9.285714286Subproblem 2
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 = 10Solution
x = {-9.285714286, 10}
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