(A-8)(A+2)=0

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Solution for (A-8)(A+2)=0 equation:


Simplifying
(A + -8)(A + 2) = 0

Reorder the terms:
(-8 + A)(A + 2) = 0

Reorder the terms:
(-8 + A)(2 + A) = 0

Multiply (-8 + A) * (2 + A)
(-8(2 + A) + A(2 + A)) = 0
((2 * -8 + A * -8) + A(2 + A)) = 0
((-16 + -8A) + A(2 + A)) = 0
(-16 + -8A + (2 * A + A * A)) = 0
(-16 + -8A + (2A + A2)) = 0

Combine like terms: -8A + 2A = -6A
(-16 + -6A + A2) = 0

Solving
-16 + -6A + A2 = 0

Solving for variable 'A'.

Factor a trinomial.
(-2 + -1A)(8 + -1A) = 0

Subproblem 1

Set the factor '(-2 + -1A)' equal to zero and attempt to solve: Simplifying -2 + -1A = 0 Solving -2 + -1A = 0 Move all terms containing A to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1A = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1A = 0 + 2 -1A = 0 + 2 Combine like terms: 0 + 2 = 2 -1A = 2 Divide each side by '-1'. A = -2 Simplifying A = -2

Subproblem 2

Set the factor '(8 + -1A)' equal to zero and attempt to solve: Simplifying 8 + -1A = 0 Solving 8 + -1A = 0 Move all terms containing A to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1A = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1A = 0 + -8 -1A = 0 + -8 Combine like terms: 0 + -8 = -8 -1A = -8 Divide each side by '-1'. A = 8 Simplifying A = 8

Solution

A = {-2, 8}

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