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Simplifying (1 + -7a)(1 + -9a) = 0 Multiply (1 + -7a) * (1 + -9a) (1(1 + -9a) + -7a * (1 + -9a)) = 0 ((1 * 1 + -9a * 1) + -7a * (1 + -9a)) = 0 ((1 + -9a) + -7a * (1 + -9a)) = 0 (1 + -9a + (1 * -7a + -9a * -7a)) = 0 (1 + -9a + (-7a + 63a2)) = 0 Combine like terms: -9a + -7a = -16a (1 + -16a + 63a2) = 0 Solving 1 + -16a + 63a2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + -9a)(1 + -7a) = 0Subproblem 1
Set the factor '(1 + -9a)' equal to zero and attempt to solve: Simplifying 1 + -9a = 0 Solving 1 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9a = 0 + -1 -9a = 0 + -1 Combine like terms: 0 + -1 = -1 -9a = -1 Divide each side by '-9'. a = 0.1111111111 Simplifying a = 0.1111111111Subproblem 2
Set the factor '(1 + -7a)' equal to zero and attempt to solve: Simplifying 1 + -7a = 0 Solving 1 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7a = 0 + -1 -7a = 0 + -1 Combine like terms: 0 + -1 = -1 -7a = -1 Divide each side by '-7'. a = 0.1428571429 Simplifying a = 0.1428571429Solution
a = {0.1111111111, 0.1428571429}
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