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Simplifying 24x2 + -1x = 10x + -1 Reorder the terms: -1x + 24x2 = 10x + -1 Reorder the terms: -1x + 24x2 = -1 + 10x Solving -1x + 24x2 = -1 + 10x Solving for variable 'x'. Reorder the terms: 1 + -1x + -10x + 24x2 = -1 + 10x + 1 + -10x Combine like terms: -1x + -10x = -11x 1 + -11x + 24x2 = -1 + 10x + 1 + -10x Reorder the terms: 1 + -11x + 24x2 = -1 + 1 + 10x + -10x Combine like terms: -1 + 1 = 0 1 + -11x + 24x2 = 0 + 10x + -10x 1 + -11x + 24x2 = 10x + -10x Combine like terms: 10x + -10x = 0 1 + -11x + 24x2 = 0 Factor a trinomial. (1 + -8x)(1 + -3x) = 0Subproblem 1
Set the factor '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 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 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125Subproblem 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 = {0.125, 0.3333333333}
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