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Simplifying 48x2 + -11x + -9 = 0 Reorder the terms: -9 + -11x + 48x2 = 0 Solving -9 + -11x + 48x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(9 + -16x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(9 + -16x)' equal to zero and attempt to solve: Simplifying 9 + -16x = 0 Solving 9 + -16x = 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 + -16x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -16x = 0 + -9 -16x = 0 + -9 Combine like terms: 0 + -9 = -9 -16x = -9 Divide each side by '-16'. x = 0.5625 Simplifying x = 0.5625Solution
x = {-0.3333333333, 0.5625}
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