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Simplifying -285x2 + 171x + -240x + 144 = 0 Reorder the terms: 144 + 171x + -240x + -285x2 = 0 Combine like terms: 171x + -240x = -69x 144 + -69x + -285x2 = 0 Solving 144 + -69x + -285x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(48 + -23x + -95x2) = 0 Factor a trinomial. 3((3 + -5x)(16 + 19x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(16 + 19x)' equal to zero and attempt to solve: Simplifying 16 + 19x = 0 Solving 16 + 19x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 19x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 19x = 0 + -16 19x = 0 + -16 Combine like terms: 0 + -16 = -16 19x = -16 Divide each side by '19'. x = -0.8421052632 Simplifying x = -0.8421052632Solution
x = {0.6, -0.8421052632}
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