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Simplifying 15x2 + 38x + 10 = -14 Reorder the terms: 10 + 38x + 15x2 = -14 Solving 10 + 38x + 15x2 = -14 Solving for variable 'x'. Reorder the terms: 10 + 14 + 38x + 15x2 = -14 + 14 Combine like terms: 10 + 14 = 24 24 + 38x + 15x2 = -14 + 14 Combine like terms: -14 + 14 = 0 24 + 38x + 15x2 = 0 Factor a trinomial. (4 + 3x)(6 + 5x) = 0Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-1.333333333, -1.2}
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