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Simplifying 15x2 + 120 = 85x Reorder the terms: 120 + 15x2 = 85x Solving 120 + 15x2 = 85x Solving for variable 'x'. Reorder the terms: 120 + -85x + 15x2 = 85x + -85x Combine like terms: 85x + -85x = 0 120 + -85x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(24 + -17x + 3x2) = 0 Factor a trinomial. 5((8 + -3x)(3 + -1x)) = 0 Ignore the factor 5.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 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {2.666666667, 3}
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