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Simplifying 36x2 = 13x + 30 Reorder the terms: 36x2 = 30 + 13x Solving 36x2 = 30 + 13x Solving for variable 'x'. Reorder the terms: -30 + -13x + 36x2 = 30 + 13x + -30 + -13x Reorder the terms: -30 + -13x + 36x2 = 30 + -30 + 13x + -13x Combine like terms: 30 + -30 = 0 -30 + -13x + 36x2 = 0 + 13x + -13x -30 + -13x + 36x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -30 + -13x + 36x2 = 0 Factor a trinomial. (-3 + -4x)(10 + -9x) = 0Subproblem 1
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 = -0.75Subproblem 2
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 = 1.111111111Solution
x = {-0.75, 1.111111111}
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