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Simplifying 0 = 2x2 + -16x + 30 Reorder the terms: 0 = 30 + -16x + 2x2 Solving 0 = 30 + -16x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -30 = -30 -30 + 16x + -2x2 = 30 + -16x + 2x2 + -30 + 16x + -2x2 Reorder the terms: -30 + 16x + -2x2 = 30 + -30 + -16x + 16x + 2x2 + -2x2 Combine like terms: 30 + -30 = 0 -30 + 16x + -2x2 = 0 + -16x + 16x + 2x2 + -2x2 -30 + 16x + -2x2 = -16x + 16x + 2x2 + -2x2 Combine like terms: -16x + 16x = 0 -30 + 16x + -2x2 = 0 + 2x2 + -2x2 -30 + 16x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -30 + 16x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 8x + -1x2) = 0 Factor a trinomial. 2((-5 + x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
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 = 3Solution
x = {5, 3}
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