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Simplifying a(a + 4) = (a + -6)(a + -5) Reorder the terms: a(4 + a) = (a + -6)(a + -5) (4 * a + a * a) = (a + -6)(a + -5) (4a + a2) = (a + -6)(a + -5) Reorder the terms: 4a + a2 = (-6 + a)(a + -5) Reorder the terms: 4a + a2 = (-6 + a)(-5 + a) Multiply (-6 + a) * (-5 + a) 4a + a2 = (-6(-5 + a) + a(-5 + a)) 4a + a2 = ((-5 * -6 + a * -6) + a(-5 + a)) 4a + a2 = ((30 + -6a) + a(-5 + a)) 4a + a2 = (30 + -6a + (-5 * a + a * a)) 4a + a2 = (30 + -6a + (-5a + a2)) Combine like terms: -6a + -5a = -11a 4a + a2 = (30 + -11a + a2) Add '-1a2' to each side of the equation. 4a + a2 + -1a2 = 30 + -11a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 4a + 0 = 30 + -11a + a2 + -1a2 4a = 30 + -11a + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 4a = 30 + -11a + 0 4a = 30 + -11a Solving 4a = 30 + -11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11a' to each side of the equation. 4a + 11a = 30 + -11a + 11a Combine like terms: 4a + 11a = 15a 15a = 30 + -11a + 11a Combine like terms: -11a + 11a = 0 15a = 30 + 0 15a = 30 Divide each side by '15'. a = 2 Simplifying a = 2
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