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Simplifying 6X2 = 16X + -8 Reorder the terms: 6X2 = -8 + 16X Solving 6X2 = -8 + 16X Solving for variable 'X'. Reorder the terms: 8 + -16X + 6X2 = -8 + 16X + 8 + -16X Reorder the terms: 8 + -16X + 6X2 = -8 + 8 + 16X + -16X Combine like terms: -8 + 8 = 0 8 + -16X + 6X2 = 0 + 16X + -16X 8 + -16X + 6X2 = 16X + -16X Combine like terms: 16X + -16X = 0 8 + -16X + 6X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -8X + 3X2) = 0 Factor a trinomial. 2((2 + -3X)(2 + -1X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3X)' equal to zero and attempt to solve: Simplifying 2 + -3X = 0 Solving 2 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3X = 0 + -2 -3X = 0 + -2 Combine like terms: 0 + -2 = -2 -3X = -2 Divide each side by '-3'. X = 0.6666666667 Simplifying X = 0.6666666667Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Solution
X = {0.6666666667, 2}
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