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Simplifying 180x2 + -327x + -100 = 0 Reorder the terms: -100 + -327x + 180x2 = 0 Solving -100 + -327x + 180x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -15x)(25 + -12x) = 0Subproblem 1
Set the factor '(-4 + -15x)' equal to zero and attempt to solve: Simplifying -4 + -15x = 0 Solving -4 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -15x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -15x = 0 + 4 -15x = 0 + 4 Combine like terms: 0 + 4 = 4 -15x = 4 Divide each side by '-15'. x = -0.2666666667 Simplifying x = -0.2666666667Subproblem 2
Set the factor '(25 + -12x)' equal to zero and attempt to solve: Simplifying 25 + -12x = 0 Solving 25 + -12x = 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 + -12x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -12x = 0 + -25 -12x = 0 + -25 Combine like terms: 0 + -25 = -25 -12x = -25 Divide each side by '-12'. x = 2.083333333 Simplifying x = 2.083333333Solution
x = {-0.2666666667, 2.083333333}
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