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Simplifying 42X2 + 45X + 12 = 0 Reorder the terms: 12 + 45X + 42X2 = 0 Solving 12 + 45X + 42X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 15X + 14X2) = 0 Factor a trinomial. 3((4 + 7X)(1 + 2X)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + 7X)' equal to zero and attempt to solve: Simplifying 4 + 7X = 0 Solving 4 + 7X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7X = 0 + -4 7X = 0 + -4 Combine like terms: 0 + -4 = -4 7X = -4 Divide each side by '7'. X = -0.5714285714 Simplifying X = -0.5714285714Subproblem 2
Set the factor '(1 + 2X)' equal to zero and attempt to solve: Simplifying 1 + 2X = 0 Solving 1 + 2X = 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 + 2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2X = 0 + -1 2X = 0 + -1 Combine like terms: 0 + -1 = -1 2X = -1 Divide each side by '2'. X = -0.5 Simplifying X = -0.5Solution
X = {-0.5714285714, -0.5}
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