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Simplifying (a + -4)(a + 25) = 0 Reorder the terms: (-4 + a)(a + 25) = 0 Reorder the terms: (-4 + a)(25 + a) = 0 Multiply (-4 + a) * (25 + a) (-4(25 + a) + a(25 + a)) = 0 ((25 * -4 + a * -4) + a(25 + a)) = 0 ((-100 + -4a) + a(25 + a)) = 0 (-100 + -4a + (25 * a + a * a)) = 0 (-100 + -4a + (25a + a2)) = 0 Combine like terms: -4a + 25a = 21a (-100 + 21a + a2) = 0 Solving -100 + 21a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (-25 + -1a)(4 + -1a) = 0Subproblem 1
Set the factor '(-25 + -1a)' equal to zero and attempt to solve: Simplifying -25 + -1a = 0 Solving -25 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1a = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1a = 0 + 25 -1a = 0 + 25 Combine like terms: 0 + 25 = 25 -1a = 25 Divide each side by '-1'. a = -25 Simplifying a = -25Subproblem 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 = {-25, 4}
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