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Simplifying (7a + 4)(a + -9) = 0 Reorder the terms: (4 + 7a)(a + -9) = 0 Reorder the terms: (4 + 7a)(-9 + a) = 0 Multiply (4 + 7a) * (-9 + a) (4(-9 + a) + 7a * (-9 + a)) = 0 ((-9 * 4 + a * 4) + 7a * (-9 + a)) = 0 ((-36 + 4a) + 7a * (-9 + a)) = 0 (-36 + 4a + (-9 * 7a + a * 7a)) = 0 (-36 + 4a + (-63a + 7a2)) = 0 Combine like terms: 4a + -63a = -59a (-36 + -59a + 7a2) = 0 Solving -36 + -59a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (-4 + -7a)(9 + -1a) = 0Subproblem 1
Set the factor '(-4 + -7a)' equal to zero and attempt to solve: Simplifying -4 + -7a = 0 Solving -4 + -7a = 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 + -7a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7a = 0 + 4 -7a = 0 + 4 Combine like terms: 0 + 4 = 4 -7a = 4 Divide each side by '-7'. a = -0.5714285714 Simplifying a = -0.5714285714Subproblem 2
Set the factor '(9 + -1a)' equal to zero and attempt to solve: Simplifying 9 + -1a = 0 Solving 9 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = 0 + -9 -1a = 0 + -9 Combine like terms: 0 + -9 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9Solution
a = {-0.5714285714, 9}
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