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Simplifying 10x2 = -11x + -3 Reorder the terms: 10x2 = -3 + -11x Solving 10x2 = -3 + -11x Solving for variable 'x'. Reorder the terms: 3 + 11x + 10x2 = -3 + -11x + 3 + 11x Reorder the terms: 3 + 11x + 10x2 = -3 + 3 + -11x + 11x Combine like terms: -3 + 3 = 0 3 + 11x + 10x2 = 0 + -11x + 11x 3 + 11x + 10x2 = -11x + 11x Combine like terms: -11x + 11x = 0 3 + 11x + 10x2 = 0 Factor a trinomial. (3 + 5x)(1 + 2x) = 0Subproblem 1
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-0.6, -0.5}
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