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Simplifying 49a2 + -126a + 81 = 0 Reorder the terms: 81 + -126a + 49a2 = 0 Solving 81 + -126a + 49a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + -7a)(9 + -7a) = 0Subproblem 1
Set the factor '(9 + -7a)' equal to zero and attempt to solve: Simplifying 9 + -7a = 0 Solving 9 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7a = 0 + -9 -7a = 0 + -9 Combine like terms: 0 + -9 = -9 -7a = -9 Divide each side by '-7'. a = 1.285714286 Simplifying a = 1.285714286Subproblem 2
Set the factor '(9 + -7a)' equal to zero and attempt to solve: Simplifying 9 + -7a = 0 Solving 9 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7a = 0 + -9 -7a = 0 + -9 Combine like terms: 0 + -9 = -9 -7a = -9 Divide each side by '-7'. a = 1.285714286 Simplifying a = 1.285714286Solution
a = {1.285714286, 1.285714286}
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