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Simplifying 0 = 10x2 + 3x + -1 Reorder the terms: 0 = -1 + 3x + 10x2 Solving 0 = -1 + 3x + 10x2 Solving for variable 'x'. Combine like terms: 0 + 1 = 1 1 + -3x + -10x2 = -1 + 3x + 10x2 + 1 + -3x + -10x2 Reorder the terms: 1 + -3x + -10x2 = -1 + 1 + 3x + -3x + 10x2 + -10x2 Combine like terms: -1 + 1 = 0 1 + -3x + -10x2 = 0 + 3x + -3x + 10x2 + -10x2 1 + -3x + -10x2 = 3x + -3x + 10x2 + -10x2 Combine like terms: 3x + -3x = 0 1 + -3x + -10x2 = 0 + 10x2 + -10x2 1 + -3x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 1 + -3x + -10x2 = 0 Factor a trinomial. (1 + -5x)(1 + 2x) = 0Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 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 = {0.2, -0.5}
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