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Simplifying 12x2 + -57x + 45 = 0 Reorder the terms: 45 + -57x + 12x2 = 0 Solving 45 + -57x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(15 + -19x + 4x2) = 0 Factor a trinomial. 3((1 + -1x)(15 + -4x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(15 + -4x)' equal to zero and attempt to solve: Simplifying 15 + -4x = 0 Solving 15 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 0 + -15 -4x = 0 + -15 Combine like terms: 0 + -15 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75Solution
x = {1, 3.75}
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