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Simplifying 18X2 + 75X + 50 = 0 Reorder the terms: 50 + 75X + 18X2 = 0 Solving 50 + 75X + 18X2 = 0 Solving for variable 'X'. Factor a trinomial. (10 + 3X)(5 + 6X) = 0Subproblem 1
Set the factor '(10 + 3X)' equal to zero and attempt to solve: Simplifying 10 + 3X = 0 Solving 10 + 3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3X = 0 + -10 3X = 0 + -10 Combine like terms: 0 + -10 = -10 3X = -10 Divide each side by '3'. X = -3.333333333 Simplifying X = -3.333333333Subproblem 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 = {-3.333333333, -0.8333333333}
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