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Simplifying x(10x + 37) = 99 Reorder the terms: x(37 + 10x) = 99 (37 * x + 10x * x) = 99 (37x + 10x2) = 99 Solving 37x + 10x2 = 99 Solving for variable 'x'. Reorder the terms: -99 + 37x + 10x2 = 99 + -99 Combine like terms: 99 + -99 = 0 -99 + 37x + 10x2 = 0 Factor a trinomial. (-11 + -2x)(9 + -5x) = 0Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-5.5, 1.8}
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