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Simplifying 9x2 + -10x = 175 Reorder the terms: -10x + 9x2 = 175 Solving -10x + 9x2 = 175 Solving for variable 'x'. Reorder the terms: -175 + -10x + 9x2 = 175 + -175 Combine like terms: 175 + -175 = 0 -175 + -10x + 9x2 = 0 Factor a trinomial. (-35 + -9x)(5 + -1x) = 0Subproblem 1
Set the factor '(-35 + -9x)' equal to zero and attempt to solve: Simplifying -35 + -9x = 0 Solving -35 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -9x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -9x = 0 + 35 -9x = 0 + 35 Combine like terms: 0 + 35 = 35 -9x = 35 Divide each side by '-9'. x = -3.888888889 Simplifying x = -3.888888889Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-3.888888889, 5}
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