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Simplifying 54x2 + -5x + -325 = 0 Reorder the terms: -325 + -5x + 54x2 = 0 Solving -325 + -5x + 54x2 = 0 Solving for variable 'x'. Factor a trinomial. (-65 + -27x)(5 + -2x) = 0Subproblem 1
Set the factor '(-65 + -27x)' equal to zero and attempt to solve: Simplifying -65 + -27x = 0 Solving -65 + -27x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -27x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -27x = 0 + 65 -27x = 0 + 65 Combine like terms: 0 + 65 = 65 -27x = 65 Divide each side by '-27'. x = -2.407407407 Simplifying x = -2.407407407Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-2.407407407, 2.5}
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