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Simplifying 15x(x + 3) = 14x + -10 Reorder the terms: 15x(3 + x) = 14x + -10 (3 * 15x + x * 15x) = 14x + -10 (45x + 15x2) = 14x + -10 Reorder the terms: 45x + 15x2 = -10 + 14x Solving 45x + 15x2 = -10 + 14x Solving for variable 'x'. Reorder the terms: 10 + 45x + -14x + 15x2 = -10 + 14x + 10 + -14x Combine like terms: 45x + -14x = 31x 10 + 31x + 15x2 = -10 + 14x + 10 + -14x Reorder the terms: 10 + 31x + 15x2 = -10 + 10 + 14x + -14x Combine like terms: -10 + 10 = 0 10 + 31x + 15x2 = 0 + 14x + -14x 10 + 31x + 15x2 = 14x + -14x Combine like terms: 14x + -14x = 0 10 + 31x + 15x2 = 0 Factor a trinomial. (5 + 3x)(2 + 5x) = 0Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-1.666666667, -0.4}
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