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Simplifying 35x2 + -54x + -729 = 0 Reorder the terms: -729 + -54x + 35x2 = 0 Solving -729 + -54x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-27 + -7x)(27 + -5x) = 0Subproblem 1
Set the factor '(-27 + -7x)' equal to zero and attempt to solve: Simplifying -27 + -7x = 0 Solving -27 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -7x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -7x = 0 + 27 -7x = 0 + 27 Combine like terms: 0 + 27 = 27 -7x = 27 Divide each side by '-7'. x = -3.857142857 Simplifying x = -3.857142857Subproblem 2
Set the factor '(27 + -5x)' equal to zero and attempt to solve: Simplifying 27 + -5x = 0 Solving 27 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -5x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -5x = 0 + -27 -5x = 0 + -27 Combine like terms: 0 + -27 = -27 -5x = -27 Divide each side by '-5'. x = 5.4 Simplifying x = 5.4Solution
x = {-3.857142857, 5.4}
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