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Simplifying -3x2 + -8x + 1 = -10x Reorder the terms: 1 + -8x + -3x2 = -10x Solving 1 + -8x + -3x2 = -10x Solving for variable 'x'. Reorder the terms: 1 + -8x + 10x + -3x2 = -10x + 10x Combine like terms: -8x + 10x = 2x 1 + 2x + -3x2 = -10x + 10x Combine like terms: -10x + 10x = 0 1 + 2x + -3x2 = 0 Factor a trinomial. (1 + -1x)(1 + 3x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {1, -0.3333333333}
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