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Simplifying (-7a + -1)(-8a + 7) = 0 Reorder the terms: (-1 + -7a)(-8a + 7) = 0 Reorder the terms: (-1 + -7a)(7 + -8a) = 0 Multiply (-1 + -7a) * (7 + -8a) (-1(7 + -8a) + -7a * (7 + -8a)) = 0 ((7 * -1 + -8a * -1) + -7a * (7 + -8a)) = 0 ((-7 + 8a) + -7a * (7 + -8a)) = 0 (-7 + 8a + (7 * -7a + -8a * -7a)) = 0 (-7 + 8a + (-49a + 56a2)) = 0 Combine like terms: 8a + -49a = -41a (-7 + -41a + 56a2) = 0 Solving -7 + -41a + 56a2 = 0 Solving for variable 'a'. Factor a trinomial. (-1 + -7a)(7 + -8a) = 0Subproblem 1
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 = -0.1428571429Subproblem 2
Set the factor '(7 + -8a)' equal to zero and attempt to solve: Simplifying 7 + -8a = 0 Solving 7 + -8a = 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 + -8a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8a = 0 + -7 -8a = 0 + -7 Combine like terms: 0 + -7 = -7 -8a = -7 Divide each side by '-8'. a = 0.875 Simplifying a = 0.875Solution
a = {-0.1428571429, 0.875}
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