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Simplifying 0 = 6X2 + -89X + 70 Reorder the terms: 0 = 70 + -89X + 6X2 Solving 0 = 70 + -89X + 6X2 Solving for variable 'X'. Combine like terms: 0 + -70 = -70 -70 + 89X + -6X2 = 70 + -89X + 6X2 + -70 + 89X + -6X2 Reorder the terms: -70 + 89X + -6X2 = 70 + -70 + -89X + 89X + 6X2 + -6X2 Combine like terms: 70 + -70 = 0 -70 + 89X + -6X2 = 0 + -89X + 89X + 6X2 + -6X2 -70 + 89X + -6X2 = -89X + 89X + 6X2 + -6X2 Combine like terms: -89X + 89X = 0 -70 + 89X + -6X2 = 0 + 6X2 + -6X2 -70 + 89X + -6X2 = 6X2 + -6X2 Combine like terms: 6X2 + -6X2 = 0 -70 + 89X + -6X2 = 0 Factor a trinomial. (-14 + X)(5 + -6X) = 0Subproblem 1
Set the factor '(-14 + X)' equal to zero and attempt to solve: Simplifying -14 + X = 0 Solving -14 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + X = 0 + 14 Combine like terms: -14 + 14 = 0 0 + X = 0 + 14 X = 0 + 14 Combine like terms: 0 + 14 = 14 X = 14 Simplifying X = 14Subproblem 2
Set the factor '(5 + -6X)' equal to zero and attempt to solve: Simplifying 5 + -6X = 0 Solving 5 + -6X = 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 + -6X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6X = 0 + -5 -6X = 0 + -5 Combine like terms: 0 + -5 = -5 -6X = -5 Divide each side by '-6'. X = 0.8333333333 Simplifying X = 0.8333333333Solution
X = {14, 0.8333333333}
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