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Simplifying (9a + -1)(a + 7) = 0 Reorder the terms: (-1 + 9a)(a + 7) = 0 Reorder the terms: (-1 + 9a)(7 + a) = 0 Multiply (-1 + 9a) * (7 + a) (-1(7 + a) + 9a * (7 + a)) = 0 ((7 * -1 + a * -1) + 9a * (7 + a)) = 0 ((-7 + -1a) + 9a * (7 + a)) = 0 (-7 + -1a + (7 * 9a + a * 9a)) = 0 (-7 + -1a + (63a + 9a2)) = 0 Combine like terms: -1a + 63a = 62a (-7 + 62a + 9a2) = 0 Solving -7 + 62a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (-7 + -1a)(1 + -9a) = 0Subproblem 1
Set the factor '(-7 + -1a)' equal to zero and attempt to solve: Simplifying -7 + -1a = 0 Solving -7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 0 + 7 -1a = 0 + 7 Combine like terms: 0 + 7 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7Subproblem 2
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 = 0.1111111111Solution
a = {-7, 0.1111111111}
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