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Simplifying 0 = -10 + -5X2 + -27X Reorder the terms: 0 = -10 + -27X + -5X2 Solving 0 = -10 + -27X + -5X2 Solving for variable 'X'. Combine like terms: 0 + 10 = 10 10 + 27X + 5X2 = -10 + -27X + -5X2 + 10 + 27X + 5X2 Reorder the terms: 10 + 27X + 5X2 = -10 + 10 + -27X + 27X + -5X2 + 5X2 Combine like terms: -10 + 10 = 0 10 + 27X + 5X2 = 0 + -27X + 27X + -5X2 + 5X2 10 + 27X + 5X2 = -27X + 27X + -5X2 + 5X2 Combine like terms: -27X + 27X = 0 10 + 27X + 5X2 = 0 + -5X2 + 5X2 10 + 27X + 5X2 = -5X2 + 5X2 Combine like terms: -5X2 + 5X2 = 0 10 + 27X + 5X2 = 0 Factor a trinomial. (5 + X)(2 + 5X) = 0Subproblem 1
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 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 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Subproblem 2
Set the factor '(2 + 5X)' equal to zero and attempt to solve: Simplifying 2 + 5X = 0 Solving 2 + 5X = 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 + 5X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5X = 0 + -2 5X = 0 + -2 Combine like terms: 0 + -2 = -2 5X = -2 Divide each side by '5'. X = -0.4 Simplifying X = -0.4Solution
X = {-5, -0.4}
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