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Simplifying 54x2 + -3x + -25 = 15 Reorder the terms: -25 + -3x + 54x2 = 15 Solving -25 + -3x + 54x2 = 15 Solving for variable 'x'. Reorder the terms: -25 + -15 + -3x + 54x2 = 15 + -15 Combine like terms: -25 + -15 = -40 -40 + -3x + 54x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -40 + -3x + 54x2 = 0 Factor a trinomial. (-5 + -6x)(8 + -9x) = 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 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 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 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889Solution
x = {-0.8333333333, 0.8888888889}
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