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Simplifying 45x2 + 22x + -36 = -2x Reorder the terms: -36 + 22x + 45x2 = -2x Solving -36 + 22x + 45x2 = -2x Solving for variable 'x'. Reorder the terms: -36 + 22x + 2x + 45x2 = -2x + 2x Combine like terms: 22x + 2x = 24x -36 + 24x + 45x2 = -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 24x + 45x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + 8x + 15x2) = 0 Factor a trinomial. 3((-6 + -5x)(2 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-1.2, 0.6666666667}
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