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Simplifying 20X2 + 55X + 30 = 0 Reorder the terms: 30 + 55X + 20X2 = 0 Solving 30 + 55X + 20X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '5'. 5(6 + 11X + 4X2) = 0 Factor a trinomial. 5((2 + X)(3 + 4X)) = 0 Ignore the factor 5.Subproblem 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 '(3 + 4X)' equal to zero and attempt to solve: Simplifying 3 + 4X = 0 Solving 3 + 4X = 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 + 4X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4X = 0 + -3 4X = 0 + -3 Combine like terms: 0 + -3 = -3 4X = -3 Divide each side by '4'. X = -0.75 Simplifying X = -0.75Solution
X = {-2, -0.75}
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