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Simplifying x(6x + -5) = 99 Reorder the terms: x(-5 + 6x) = 99 (-5 * x + 6x * x) = 99 (-5x + 6x2) = 99 Solving -5x + 6x2 = 99 Solving for variable 'x'. Reorder the terms: -99 + -5x + 6x2 = 99 + -99 Combine like terms: 99 + -99 = 0 -99 + -5x + 6x2 = 0 Factor a trinomial. (-11 + -3x)(9 + -2x) = 0Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 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 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-3.666666667, 4.5}
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