(a+7)(a-15)=0

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Solution for (a+7)(a-15)=0 equation:


Simplifying
(a + 7)(a + -15) = 0

Reorder the terms:
(7 + a)(a + -15) = 0

Reorder the terms:
(7 + a)(-15 + a) = 0

Multiply (7 + a) * (-15 + a)
(7(-15 + a) + a(-15 + a)) = 0
((-15 * 7 + a * 7) + a(-15 + a)) = 0
((-105 + 7a) + a(-15 + a)) = 0
(-105 + 7a + (-15 * a + a * a)) = 0
(-105 + 7a + (-15a + a2)) = 0

Combine like terms: 7a + -15a = -8a
(-105 + -8a + a2) = 0

Solving
-105 + -8a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-7 + -1a)(15 + -1a) = 0

Subproblem 1

Set the factor '(-7 + -1a)' equal to zero and attempt to solve: Simplifying -7 + -1a = 0 Solving -7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a = 0 + 7 -1a = 0 + 7 Combine like terms: 0 + 7 = 7 -1a = 7 Divide each side by '-1'. a = -7 Simplifying a = -7

Subproblem 2

Set the factor '(15 + -1a)' equal to zero and attempt to solve: Simplifying 15 + -1a = 0 Solving 15 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 0 + -15 -1a = 0 + -15 Combine like terms: 0 + -15 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15

Solution

a = {-7, 15}

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