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Simplifying -6x2 + 46x + 52 = 0 Reorder the terms: 52 + 46x + -6x2 = 0 Solving 52 + 46x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(26 + 23x + -3x2) = 0 Factor a trinomial. 2((26 + -3x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(26 + -3x)' equal to zero and attempt to solve: Simplifying 26 + -3x = 0 Solving 26 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -3x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = 0 + -26 -3x = 0 + -26 Combine like terms: 0 + -26 = -26 -3x = -26 Divide each side by '-3'. x = 8.666666667 Simplifying x = 8.666666667Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {8.666666667, -1}
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