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Simplifying 7x2 + -60x + -100 = 0 Reorder the terms: -100 + -60x + 7x2 = 0 Solving -100 + -60x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -7x)(10 + -1x) = 0Subproblem 1
Set the factor '(-10 + -7x)' equal to zero and attempt to solve: Simplifying -10 + -7x = 0 Solving -10 + -7x = 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 + -7x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 0 + 10 -7x = 0 + 10 Combine like terms: 0 + 10 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429Subproblem 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 = {-1.428571429, 10}
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