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Simplifying 60x2 + 124x + -93 = 3 Reorder the terms: -93 + 124x + 60x2 = 3 Solving -93 + 124x + 60x2 = 3 Solving for variable 'x'. Reorder the terms: -93 + -3 + 124x + 60x2 = 3 + -3 Combine like terms: -93 + -3 = -96 -96 + 124x + 60x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -96 + 124x + 60x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-24 + 31x + 15x2) = 0 Factor a trinomial. 4((-8 + -3x)(3 + -5x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 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 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
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 = 0.6Solution
x = {-2.666666667, 0.6}
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