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Simplifying 5x2 + -9x = 990 Reorder the terms: -9x + 5x2 = 990 Solving -9x + 5x2 = 990 Solving for variable 'x'. Reorder the terms: -990 + -9x + 5x2 = 990 + -990 Combine like terms: 990 + -990 = 0 -990 + -9x + 5x2 = 0 Factor a trinomial. (-66 + -5x)(15 + -1x) = 0Subproblem 1
Set the factor '(-66 + -5x)' equal to zero and attempt to solve: Simplifying -66 + -5x = 0 Solving -66 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + -5x = 0 + 66 Combine like terms: -66 + 66 = 0 0 + -5x = 0 + 66 -5x = 0 + 66 Combine like terms: 0 + 66 = 66 -5x = 66 Divide each side by '-5'. x = -13.2 Simplifying x = -13.2Subproblem 2
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 = 15Solution
x = {-13.2, 15}
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