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Simplifying 196a2 + -168a + 36 = 0 Reorder the terms: 36 + -168a + 196a2 = 0 Solving 36 + -168a + 196a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -42a + 49a2) = 0 Factor a trinomial. 4((3 + -7a)(3 + -7a)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -7a)' equal to zero and attempt to solve: Simplifying 3 + -7a = 0 Solving 3 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7a = 0 + -3 -7a = 0 + -3 Combine like terms: 0 + -3 = -3 -7a = -3 Divide each side by '-7'. a = 0.4285714286 Simplifying a = 0.4285714286Subproblem 2
Set the factor '(3 + -7a)' equal to zero and attempt to solve: Simplifying 3 + -7a = 0 Solving 3 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7a = 0 + -3 -7a = 0 + -3 Combine like terms: 0 + -3 = -3 -7a = -3 Divide each side by '-7'. a = 0.4285714286 Simplifying a = 0.4285714286Solution
a = {0.4285714286, 0.4285714286}
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