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Simplifying 3x2 + -414x + 11760 = 0 Reorder the terms: 11760 + -414x + 3x2 = 0 Solving 11760 + -414x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(3920 + -138x + x2) = 0 Factor a trinomial. 3((40 + -1x)(98 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Subproblem 2
Set the factor '(98 + -1x)' equal to zero and attempt to solve: Simplifying 98 + -1x = 0 Solving 98 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + -1x = 0 + -98 Combine like terms: 98 + -98 = 0 0 + -1x = 0 + -98 -1x = 0 + -98 Combine like terms: 0 + -98 = -98 -1x = -98 Divide each side by '-1'. x = 98 Simplifying x = 98Solution
x = {40, 98}
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