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Simplifying 7x2 + -800x + 10000 = 0 Reorder the terms: 10000 + -800x + 7x2 = 0 Solving 10000 + -800x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (100 + -7x)(100 + -1x) = 0Subproblem 1
Set the factor '(100 + -7x)' equal to zero and attempt to solve: Simplifying 100 + -7x = 0 Solving 100 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -7x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -7x = 0 + -100 -7x = 0 + -100 Combine like terms: 0 + -100 = -100 -7x = -100 Divide each side by '-7'. x = 14.28571429 Simplifying x = 14.28571429Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100Solution
x = {14.28571429, 100}
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