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Simplifying 18x2 + 45x + -500 = 0 Reorder the terms: -500 + 45x + 18x2 = 0 Solving -500 + 45x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-20 + -3x)(25 + -6x) = 0Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve: Simplifying -20 + -3x = 0 Solving -20 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667Subproblem 2
Set the factor '(25 + -6x)' equal to zero and attempt to solve: Simplifying 25 + -6x = 0 Solving 25 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -6x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = 0 + -25 -6x = 0 + -25 Combine like terms: 0 + -25 = -25 -6x = -25 Divide each side by '-6'. x = 4.166666667 Simplifying x = 4.166666667Solution
x = {-6.666666667, 4.166666667}
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