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Simplifying 50X2 + 40X + 6 = 0 Reorder the terms: 6 + 40X + 50X2 = 0 Solving 6 + 40X + 50X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 20X + 25X2) = 0 Factor a trinomial. 2((3 + 5X)(1 + 5X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 5X)' equal to zero and attempt to solve: Simplifying 3 + 5X = 0 Solving 3 + 5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5X = 0 + -3 5X = 0 + -3 Combine like terms: 0 + -3 = -3 5X = -3 Divide each side by '5'. X = -0.6 Simplifying X = -0.6Subproblem 2
Set the factor '(1 + 5X)' equal to zero and attempt to solve: Simplifying 1 + 5X = 0 Solving 1 + 5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5X = 0 + -1 5X = 0 + -1 Combine like terms: 0 + -1 = -1 5X = -1 Divide each side by '5'. X = -0.2 Simplifying X = -0.2Solution
X = {-0.6, -0.2}
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