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Simplifying 170x = x2 + 6600 Reorder the terms: 170x = 6600 + x2 Solving 170x = 6600 + x2 Solving for variable 'x'. Reorder the terms: -6600 + 170x + -1x2 = 6600 + x2 + -6600 + -1x2 Reorder the terms: -6600 + 170x + -1x2 = 6600 + -6600 + x2 + -1x2 Combine like terms: 6600 + -6600 = 0 -6600 + 170x + -1x2 = 0 + x2 + -1x2 -6600 + 170x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6600 + 170x + -1x2 = 0 Factor a trinomial. (-110 + x)(60 + -1x) = 0Subproblem 1
Set the factor '(-110 + x)' equal to zero and attempt to solve: Simplifying -110 + x = 0 Solving -110 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '110' to each side of the equation. -110 + 110 + x = 0 + 110 Combine like terms: -110 + 110 = 0 0 + x = 0 + 110 x = 0 + 110 Combine like terms: 0 + 110 = 110 x = 110 Simplifying x = 110Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {110, 60}
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