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Simplifying 10x2 + 13x + 6 = -10x + -6 Reorder the terms: 6 + 13x + 10x2 = -10x + -6 Reorder the terms: 6 + 13x + 10x2 = -6 + -10x Solving 6 + 13x + 10x2 = -6 + -10x Solving for variable 'x'. Reorder the terms: 6 + 6 + 13x + 10x + 10x2 = -6 + -10x + 6 + 10x Combine like terms: 6 + 6 = 12 12 + 13x + 10x + 10x2 = -6 + -10x + 6 + 10x Combine like terms: 13x + 10x = 23x 12 + 23x + 10x2 = -6 + -10x + 6 + 10x Reorder the terms: 12 + 23x + 10x2 = -6 + 6 + -10x + 10x Combine like terms: -6 + 6 = 0 12 + 23x + 10x2 = 0 + -10x + 10x 12 + 23x + 10x2 = -10x + 10x Combine like terms: -10x + 10x = 0 12 + 23x + 10x2 = 0 Factor a trinomial. (3 + 2x)(4 + 5x) = 0Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-1.5, -0.8}
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