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Simplifying 20x2 = -12x + -1 Reorder the terms: 20x2 = -1 + -12x Solving 20x2 = -1 + -12x Solving for variable 'x'. Reorder the terms: 1 + 12x + 20x2 = -1 + -12x + 1 + 12x Reorder the terms: 1 + 12x + 20x2 = -1 + 1 + -12x + 12x Combine like terms: -1 + 1 = 0 1 + 12x + 20x2 = 0 + -12x + 12x 1 + 12x + 20x2 = -12x + 12x Combine like terms: -12x + 12x = 0 1 + 12x + 20x2 = 0 Factor a trinomial. (1 + 2x)(1 + 10x) = 0Subproblem 1
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 = -0.5Subproblem 2
Set the factor '(1 + 10x)' equal to zero and attempt to solve: Simplifying 1 + 10x = 0 Solving 1 + 10x = 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 + 10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 0 + -1 10x = 0 + -1 Combine like terms: 0 + -1 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1Solution
x = {-0.5, -0.1}
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