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Simplifying (4 + -1a)(7 + -5a) = 0 Multiply (4 + -1a) * (7 + -5a) (4(7 + -5a) + -1a * (7 + -5a)) = 0 ((7 * 4 + -5a * 4) + -1a * (7 + -5a)) = 0 ((28 + -20a) + -1a * (7 + -5a)) = 0 (28 + -20a + (7 * -1a + -5a * -1a)) = 0 (28 + -20a + (-7a + 5a2)) = 0 Combine like terms: -20a + -7a = -27a (28 + -27a + 5a2) = 0 Solving 28 + -27a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + -5a)(4 + -1a) = 0Subproblem 1
Set the factor '(7 + -5a)' equal to zero and attempt to solve: Simplifying 7 + -5a = 0 Solving 7 + -5a = 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 + -5a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5a = 0 + -7 -5a = 0 + -7 Combine like terms: 0 + -7 = -7 -5a = -7 Divide each side by '-5'. a = 1.4 Simplifying a = 1.4Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {1.4, 4}
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