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Simplifying 6X2 + 14X = 4420 Reorder the terms: 14X + 6X2 = 4420 Solving 14X + 6X2 = 4420 Solving for variable 'X'. Reorder the terms: -4420 + 14X + 6X2 = 4420 + -4420 Combine like terms: 4420 + -4420 = 0 -4420 + 14X + 6X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2210 + 7X + 3X2) = 0 Factor a trinomial. 2((-85 + -3X)(26 + -1X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-85 + -3X)' equal to zero and attempt to solve: Simplifying -85 + -3X = 0 Solving -85 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + -3X = 0 + 85 Combine like terms: -85 + 85 = 0 0 + -3X = 0 + 85 -3X = 0 + 85 Combine like terms: 0 + 85 = 85 -3X = 85 Divide each side by '-3'. X = -28.33333333 Simplifying X = -28.33333333Subproblem 2
Set the factor '(26 + -1X)' equal to zero and attempt to solve: Simplifying 26 + -1X = 0 Solving 26 + -1X = 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 + -1X = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1X = 0 + -26 -1X = 0 + -26 Combine like terms: 0 + -26 = -26 -1X = -26 Divide each side by '-1'. X = 26 Simplifying X = 26Solution
X = {-28.33333333, 26}
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