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Simplifying 196x2 + 126x + 20 = 0 Reorder the terms: 20 + 126x + 196x2 = 0 Solving 20 + 126x + 196x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 63x + 98x2) = 0 Factor a trinomial. 2((5 + 14x)(2 + 7x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.3571428571Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {-0.3571428571, -0.2857142857}
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