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Simplifying 0 = 3x2 + 10x + -57 Reorder the terms: 0 = -57 + 10x + 3x2 Solving 0 = -57 + 10x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 57 = 57 57 + -10x + -3x2 = -57 + 10x + 3x2 + 57 + -10x + -3x2 Reorder the terms: 57 + -10x + -3x2 = -57 + 57 + 10x + -10x + 3x2 + -3x2 Combine like terms: -57 + 57 = 0 57 + -10x + -3x2 = 0 + 10x + -10x + 3x2 + -3x2 57 + -10x + -3x2 = 10x + -10x + 3x2 + -3x2 Combine like terms: 10x + -10x = 0 57 + -10x + -3x2 = 0 + 3x2 + -3x2 57 + -10x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 57 + -10x + -3x2 = 0 Factor a trinomial. (3 + -1x)(19 + 3x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(19 + 3x)' equal to zero and attempt to solve: Simplifying 19 + 3x = 0 Solving 19 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 0 + -19 3x = 0 + -19 Combine like terms: 0 + -19 = -19 3x = -19 Divide each side by '3'. x = -6.333333333 Simplifying x = -6.333333333Solution
x = {3, -6.333333333}
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