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Simplifying 190x + -2x2 = 1700 Solving 190x + -2x2 = 1700 Solving for variable 'x'. Reorder the terms: -1700 + 190x + -2x2 = 1700 + -1700 Combine like terms: 1700 + -1700 = 0 -1700 + 190x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-850 + 95x + -1x2) = 0 Factor a trinomial. 2((-85 + x)(10 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-85 + x)' equal to zero and attempt to solve: Simplifying -85 + x = 0 Solving -85 + x = 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 + x = 0 + 85 Combine like terms: -85 + 85 = 0 0 + x = 0 + 85 x = 0 + 85 Combine like terms: 0 + 85 = 85 x = 85 Simplifying x = 85Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {85, 10}
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