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Simplifying (a + 32)(a + -36) = 0 Reorder the terms: (32 + a)(a + -36) = 0 Reorder the terms: (32 + a)(-36 + a) = 0 Multiply (32 + a) * (-36 + a) (32(-36 + a) + a(-36 + a)) = 0 ((-36 * 32 + a * 32) + a(-36 + a)) = 0 ((-1152 + 32a) + a(-36 + a)) = 0 (-1152 + 32a + (-36 * a + a * a)) = 0 (-1152 + 32a + (-36a + a2)) = 0 Combine like terms: 32a + -36a = -4a (-1152 + -4a + a2) = 0 Solving -1152 + -4a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-32 + -1a)(36 + -1a) = 0Subproblem 1
Set the factor '(-32 + -1a)' equal to zero and attempt to solve: Simplifying -32 + -1a = 0 Solving -32 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -1a = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -1a = 0 + 32 -1a = 0 + 32 Combine like terms: 0 + 32 = 32 -1a = 32 Divide each side by '-1'. a = -32 Simplifying a = -32Subproblem 2
Set the factor '(36 + -1a)' equal to zero and attempt to solve: Simplifying 36 + -1a = 0 Solving 36 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1a = 0 + -36 -1a = 0 + -36 Combine like terms: 0 + -36 = -36 -1a = -36 Divide each side by '-1'. a = 36 Simplifying a = 36Solution
a = {-32, 36}
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