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Simplifying 15x2 + -79x + -2684 = 0 Reorder the terms: -2684 + -79x + 15x2 = 0 Solving -2684 + -79x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -1x)(244 + -15x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(244 + -15x)' equal to zero and attempt to solve: Simplifying 244 + -15x = 0 Solving 244 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-244' to each side of the equation. 244 + -244 + -15x = 0 + -244 Combine like terms: 244 + -244 = 0 0 + -15x = 0 + -244 -15x = 0 + -244 Combine like terms: 0 + -244 = -244 -15x = -244 Divide each side by '-15'. x = 16.26666667 Simplifying x = 16.26666667Solution
x = {-11, 16.26666667}
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