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Simplifying (7a + 8)(a + -8) = 0 Reorder the terms: (8 + 7a)(a + -8) = 0 Reorder the terms: (8 + 7a)(-8 + a) = 0 Multiply (8 + 7a) * (-8 + a) (8(-8 + a) + 7a * (-8 + a)) = 0 ((-8 * 8 + a * 8) + 7a * (-8 + a)) = 0 ((-64 + 8a) + 7a * (-8 + a)) = 0 (-64 + 8a + (-8 * 7a + a * 7a)) = 0 (-64 + 8a + (-56a + 7a2)) = 0 Combine like terms: 8a + -56a = -48a (-64 + -48a + 7a2) = 0 Solving -64 + -48a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (-8 + -7a)(8 + -1a) = 0Subproblem 1
Set the factor '(-8 + -7a)' equal to zero and attempt to solve: Simplifying -8 + -7a = 0 Solving -8 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7a = 0 + 8 -7a = 0 + 8 Combine like terms: 0 + 8 = 8 -7a = 8 Divide each side by '-7'. a = -1.142857143 Simplifying a = -1.142857143Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve: Simplifying 8 + -1a = 0 Solving 8 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 0 + -8 -1a = 0 + -8 Combine like terms: 0 + -8 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8Solution
a = {-1.142857143, 8}
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