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Simplifying 0 = 565x + -8250 + -1x2 Reorder the terms: 0 = -8250 + 565x + -1x2 Solving 0 = -8250 + 565x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 8250 = 8250 8250 + -565x + x2 = -8250 + 565x + -1x2 + 8250 + -565x + x2 Reorder the terms: 8250 + -565x + x2 = -8250 + 8250 + 565x + -565x + -1x2 + x2 Combine like terms: -8250 + 8250 = 0 8250 + -565x + x2 = 0 + 565x + -565x + -1x2 + x2 8250 + -565x + x2 = 565x + -565x + -1x2 + x2 Combine like terms: 565x + -565x = 0 8250 + -565x + x2 = 0 + -1x2 + x2 8250 + -565x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 8250 + -565x + x2 = 0 Factor a trinomial. (15 + -1x)(550 + -1x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(550 + -1x)' equal to zero and attempt to solve: Simplifying 550 + -1x = 0 Solving 550 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-550' to each side of the equation. 550 + -550 + -1x = 0 + -550 Combine like terms: 550 + -550 = 0 0 + -1x = 0 + -550 -1x = 0 + -550 Combine like terms: 0 + -550 = -550 -1x = -550 Divide each side by '-1'. x = 550 Simplifying x = 550Solution
x = {15, 550}
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