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Simplifying 6X2 + 5X = 99 Reorder the terms: 5X + 6X2 = 99 Solving 5X + 6X2 = 99 Solving for variable 'X'. Reorder the terms: -99 + 5X + 6X2 = 99 + -99 Combine like terms: 99 + -99 = 0 -99 + 5X + 6X2 = 0 Factor a trinomial. (-9 + -2X)(11 + -3X) = 0Subproblem 1
Set the factor '(-9 + -2X)' equal to zero and attempt to solve: Simplifying -9 + -2X = 0 Solving -9 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2X = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2X = 0 + 9 -2X = 0 + 9 Combine like terms: 0 + 9 = 9 -2X = 9 Divide each side by '-2'. X = -4.5 Simplifying X = -4.5Subproblem 2
Set the factor '(11 + -3X)' equal to zero and attempt to solve: Simplifying 11 + -3X = 0 Solving 11 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3X = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3X = 0 + -11 -3X = 0 + -11 Combine like terms: 0 + -11 = -11 -3X = -11 Divide each side by '-3'. X = 3.666666667 Simplifying X = 3.666666667Solution
X = {-4.5, 3.666666667}
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