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Simplifying 57x2 + -124x + 64 = 0 Reorder the terms: 64 + -124x + 57x2 = 0 Solving 64 + -124x + 57x2 = 0 Solving for variable 'x'. Factor a trinomial. (16 + -19x)(4 + -3x) = 0Subproblem 1
Set the factor '(16 + -19x)' equal to zero and attempt to solve: Simplifying 16 + -19x = 0 Solving 16 + -19x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -19x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -19x = 0 + -16 -19x = 0 + -16 Combine like terms: 0 + -16 = -16 -19x = -16 Divide each side by '-19'. x = 0.8421052632 Simplifying x = 0.8421052632Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0.8421052632, 1.333333333}
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