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Simplifying (7a + -9)(7a + -9) = 0 Reorder the terms: (-9 + 7a)(7a + -9) = 0 Reorder the terms: (-9 + 7a)(-9 + 7a) = 0 Multiply (-9 + 7a) * (-9 + 7a) (-9(-9 + 7a) + 7a * (-9 + 7a)) = 0 ((-9 * -9 + 7a * -9) + 7a * (-9 + 7a)) = 0 ((81 + -63a) + 7a * (-9 + 7a)) = 0 (81 + -63a + (-9 * 7a + 7a * 7a)) = 0 (81 + -63a + (-63a + 49a2)) = 0 Combine like terms: -63a + -63a = -126a (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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