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Simplifying 90x2 + 27x + -40 = 0 Reorder the terms: -40 + 27x + 90x2 = 0 Solving -40 + 27x + 90x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -6x)(8 + -15x) = 0Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve: Simplifying -5 + -6x = 0 Solving -5 + -6x = 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 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333Subproblem 2
Set the factor '(8 + -15x)' equal to zero and attempt to solve: Simplifying 8 + -15x = 0 Solving 8 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -15x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = 0 + -8 -15x = 0 + -8 Combine like terms: 0 + -8 = -8 -15x = -8 Divide each side by '-15'. x = 0.5333333333 Simplifying x = 0.5333333333Solution
x = {-0.8333333333, 0.5333333333}
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