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Simplifying a2 + 9a + -36 = (a + -12)(a + 4) Reorder the terms: -36 + 9a + a2 = (a + -12)(a + 4) Reorder the terms: -36 + 9a + a2 = (-12 + a)(a + 4) Reorder the terms: -36 + 9a + a2 = (-12 + a)(4 + a) Multiply (-12 + a) * (4 + a) -36 + 9a + a2 = (-12(4 + a) + a(4 + a)) -36 + 9a + a2 = ((4 * -12 + a * -12) + a(4 + a)) -36 + 9a + a2 = ((-48 + -12a) + a(4 + a)) -36 + 9a + a2 = (-48 + -12a + (4 * a + a * a)) -36 + 9a + a2 = (-48 + -12a + (4a + a2)) Combine like terms: -12a + 4a = -8a -36 + 9a + a2 = (-48 + -8a + a2) Add '-1a2' to each side of the equation. -36 + 9a + a2 + -1a2 = -48 + -8a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -36 + 9a + 0 = -48 + -8a + a2 + -1a2 -36 + 9a = -48 + -8a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 -36 + 9a = -48 + -8a + 0 -36 + 9a = -48 + -8a Solving -36 + 9a = -48 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -36 + 9a + 8a = -48 + -8a + 8a Combine like terms: 9a + 8a = 17a -36 + 17a = -48 + -8a + 8a Combine like terms: -8a + 8a = 0 -36 + 17a = -48 + 0 -36 + 17a = -48 Add '36' to each side of the equation. -36 + 36 + 17a = -48 + 36 Combine like terms: -36 + 36 = 0 0 + 17a = -48 + 36 17a = -48 + 36 Combine like terms: -48 + 36 = -12 17a = -12 Divide each side by '17'. a = -0.7058823529 Simplifying a = -0.7058823529
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