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Simplifying 15x2 + -93x + 78 = 0 Reorder the terms: 78 + -93x + 15x2 = 0 Solving 78 + -93x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(26 + -31x + 5x2) = 0 Factor a trinomial. 3((1 + -1x)(26 + -5x)) = 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 '(26 + -5x)' equal to zero and attempt to solve: Simplifying 26 + -5x = 0 Solving 26 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -5x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -5x = 0 + -26 -5x = 0 + -26 Combine like terms: 0 + -26 = -26 -5x = -26 Divide each side by '-5'. x = 5.2 Simplifying x = 5.2Solution
x = {1, 5.2}
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