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Simplifying 110 = -2x2 + 101x + -570 Reorder the terms: 110 = -570 + 101x + -2x2 Solving 110 = -570 + 101x + -2x2 Solving for variable 'x'. Combine like terms: 110 + 570 = 680 680 + -101x + 2x2 = -570 + 101x + -2x2 + 570 + -101x + 2x2 Reorder the terms: 680 + -101x + 2x2 = -570 + 570 + 101x + -101x + -2x2 + 2x2 Combine like terms: -570 + 570 = 0 680 + -101x + 2x2 = 0 + 101x + -101x + -2x2 + 2x2 680 + -101x + 2x2 = 101x + -101x + -2x2 + 2x2 Combine like terms: 101x + -101x = 0 680 + -101x + 2x2 = 0 + -2x2 + 2x2 680 + -101x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 680 + -101x + 2x2 = 0 Factor a trinomial. (8 + -1x)(85 + -2x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(85 + -2x)' equal to zero and attempt to solve: Simplifying 85 + -2x = 0 Solving 85 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -2x = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -2x = 0 + -85 -2x = 0 + -85 Combine like terms: 0 + -85 = -85 -2x = -85 Divide each side by '-2'. x = 42.5 Simplifying x = 42.5Solution
x = {8, 42.5}
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