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Simplifying 45x2 + -42x + -55 = 0 Reorder the terms: -55 + -42x + 45x2 = 0 Solving -55 + -42x + 45x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -15x)(5 + -3x) = 0Subproblem 1
Set the factor '(-11 + -15x)' equal to zero and attempt to solve: Simplifying -11 + -15x = 0 Solving -11 + -15x = 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 + -15x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -15x = 0 + 11 -15x = 0 + 11 Combine like terms: 0 + 11 = 11 -15x = 11 Divide each side by '-15'. x = -0.7333333333 Simplifying x = -0.7333333333Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-0.7333333333, 1.666666667}
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