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Simplifying 840 = 11x + 3x2 Solving 840 = 11x + 3x2 Solving for variable 'x'. Reorder the terms: 840 + -11x + -3x2 = 11x + -11x + 3x2 + -3x2 Combine like terms: 11x + -11x = 0 840 + -11x + -3x2 = 0 + 3x2 + -3x2 840 + -11x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 840 + -11x + -3x2 = 0 Factor a trinomial. (15 + -1x)(56 + 3x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 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 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(56 + 3x)' equal to zero and attempt to solve: Simplifying 56 + 3x = 0 Solving 56 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 3x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 3x = 0 + -56 3x = 0 + -56 Combine like terms: 0 + -56 = -56 3x = -56 Divide each side by '3'. x = -18.66666667 Simplifying x = -18.66666667Solution
x = {15, -18.66666667}
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