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Simplifying (8a + 7)(5a + -2) = 0 Reorder the terms: (7 + 8a)(5a + -2) = 0 Reorder the terms: (7 + 8a)(-2 + 5a) = 0 Multiply (7 + 8a) * (-2 + 5a) (7(-2 + 5a) + 8a * (-2 + 5a)) = 0 ((-2 * 7 + 5a * 7) + 8a * (-2 + 5a)) = 0 ((-14 + 35a) + 8a * (-2 + 5a)) = 0 (-14 + 35a + (-2 * 8a + 5a * 8a)) = 0 (-14 + 35a + (-16a + 40a2)) = 0 Combine like terms: 35a + -16a = 19a (-14 + 19a + 40a2) = 0 Solving -14 + 19a + 40a2 = 0 Solving for variable 'a'. Factor a trinomial. (-7 + -8a)(2 + -5a) = 0Subproblem 1
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 = -0.875Subproblem 2
Set the factor '(2 + -5a)' equal to zero and attempt to solve: Simplifying 2 + -5a = 0 Solving 2 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5a = 0 + -2 -5a = 0 + -2 Combine like terms: 0 + -2 = -2 -5a = -2 Divide each side by '-5'. a = 0.4 Simplifying a = 0.4Solution
a = {-0.875, 0.4}
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