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Simplifying 6X2 + 17X + 10 = 0 Reorder the terms: 10 + 17X + 6X2 = 0 Solving 10 + 17X + 6X2 = 0 Solving for variable 'X'. Factor a trinomial. (2 + X)(5 + 6X) = 0Subproblem 1
Set the factor '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 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 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Simplifying X = -2Subproblem 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 = {-2, -0.8333333333}
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