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Simplifying 15x2 + 83x + 110 = 0 Reorder the terms: 110 + 83x + 15x2 = 0 Solving 110 + 83x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + 3x)(11 + 5x) = 0Subproblem 1
Set the factor '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333Subproblem 2
Set the factor '(11 + 5x)' equal to zero and attempt to solve: Simplifying 11 + 5x = 0 Solving 11 + 5x = 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 + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2Solution
x = {-3.333333333, -2.2}
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