(12-a)(3+a)=

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Solution for (12-a)(3+a)= equation:


Simplifying
(12 + -1a)(3 + a) = 0

Multiply (12 + -1a) * (3 + a)
(12(3 + a) + -1a * (3 + a)) = 0
((3 * 12 + a * 12) + -1a * (3 + a)) = 0
((36 + 12a) + -1a * (3 + a)) = 0
(36 + 12a + (3 * -1a + a * -1a)) = 0
(36 + 12a + (-3a + -1a2)) = 0

Combine like terms: 12a + -3a = 9a
(36 + 9a + -1a2) = 0

Solving
36 + 9a + -1a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(12 + -1a)(3 + a) = 0

Subproblem 1

Set the factor '(12 + -1a)' equal to zero and attempt to solve: Simplifying 12 + -1a = 0 Solving 12 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 0 + -12 -1a = 0 + -12 Combine like terms: 0 + -12 = -12 -1a = -12 Divide each side by '-1'. a = 12 Simplifying a = 12

Subproblem 2

Set the factor '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3

Solution

a = {12, -3}

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