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Simplifying -1x2 + 310x = 18400 Reorder the terms: 310x + -1x2 = 18400 Solving 310x + -1x2 = 18400 Solving for variable 'x'. Reorder the terms: -18400 + 310x + -1x2 = 18400 + -18400 Combine like terms: 18400 + -18400 = 0 -18400 + 310x + -1x2 = 0 Factor a trinomial. (-230 + x)(80 + -1x) = 0Subproblem 1
Set the factor '(-230 + x)' equal to zero and attempt to solve: Simplifying -230 + x = 0 Solving -230 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '230' to each side of the equation. -230 + 230 + x = 0 + 230 Combine like terms: -230 + 230 = 0 0 + x = 0 + 230 x = 0 + 230 Combine like terms: 0 + 230 = 230 x = 230 Simplifying x = 230Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve: Simplifying 80 + -1x = 0 Solving 80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 0 + -80 -1x = 0 + -80 Combine like terms: 0 + -80 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80Solution
x = {230, 80}
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