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Simplifying 7 + -32x + 3x2 = -57 Solving 7 + -32x + 3x2 = -57 Solving for variable 'x'. Reorder the terms: 7 + 57 + -32x + 3x2 = -57 + 57 Combine like terms: 7 + 57 = 64 64 + -32x + 3x2 = -57 + 57 Combine like terms: -57 + 57 = 0 64 + -32x + 3x2 = 0 Factor a trinomial. (8 + -3x)(8 + -1x) = 0Subproblem 1
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {2.666666667, 8}
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