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Simplifying 5x2 + 20x = -5x2 + 3x + -6 Reorder the terms: 20x + 5x2 = -5x2 + 3x + -6 Reorder the terms: 20x + 5x2 = -6 + 3x + -5x2 Solving 20x + 5x2 = -6 + 3x + -5x2 Solving for variable 'x'. Reorder the terms: 6 + 20x + -3x + 5x2 + 5x2 = -6 + 3x + -5x2 + 6 + -3x + 5x2 Combine like terms: 20x + -3x = 17x 6 + 17x + 5x2 + 5x2 = -6 + 3x + -5x2 + 6 + -3x + 5x2 Combine like terms: 5x2 + 5x2 = 10x2 6 + 17x + 10x2 = -6 + 3x + -5x2 + 6 + -3x + 5x2 Reorder the terms: 6 + 17x + 10x2 = -6 + 6 + 3x + -3x + -5x2 + 5x2 Combine like terms: -6 + 6 = 0 6 + 17x + 10x2 = 0 + 3x + -3x + -5x2 + 5x2 6 + 17x + 10x2 = 3x + -3x + -5x2 + 5x2 Combine like terms: 3x + -3x = 0 6 + 17x + 10x2 = 0 + -5x2 + 5x2 6 + 17x + 10x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 6 + 17x + 10x2 = 0 Factor a trinomial. (6 + 5x)(1 + 2x) = 0Subproblem 1
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 = -1.2Subproblem 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 = {-1.2, -0.5}
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