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Simplifying 14x2 + 33x + 10 = 0 Reorder the terms: 10 + 33x + 14x2 = 0 Solving 10 + 33x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(5 + 14x) = 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 + 14x)' equal to zero and attempt to solve: Simplifying 5 + 14x = 0 Solving 5 + 14x = 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 + 14x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = 0 + -5 14x = 0 + -5 Combine like terms: 0 + -5 = -5 14x = -5 Divide each side by '14'. x = -0.3571428571 Simplifying x = -0.3571428571Solution
x = {-2, -0.3571428571}
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