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Simplifying 36x2 + 13x + -30 = 0 Reorder the terms: -30 + 13x + 36x2 = 0 Solving -30 + 13x + 36x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -9x)(3 + -4x) = 0Subproblem 1
Set the factor '(-10 + -9x)' equal to zero and attempt to solve: Simplifying -10 + -9x = 0 Solving -10 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -9x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 0 + 10 -9x = 0 + 10 Combine like terms: 0 + 10 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-1.111111111, 0.75}
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