(x+2)(x+6)=0

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Solution for (x+2)(x+6)=0 equation:


Simplifying
(x + 2)(x + 6) = 0

Reorder the terms:
(2 + x)(x + 6) = 0

Reorder the terms:
(2 + x)(6 + x) = 0

Multiply (2 + x) * (6 + x)
(2(6 + x) + x(6 + x)) = 0
((6 * 2 + x * 2) + x(6 + x)) = 0
((12 + 2x) + x(6 + x)) = 0
(12 + 2x + (6 * x + x * x)) = 0
(12 + 2x + (6x + x2)) = 0

Combine like terms: 2x + 6x = 8x
(12 + 8x + x2) = 0

Solving
12 + 8x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + x)(2 + x) = 0

Subproblem 1

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Subproblem 2

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

Solution

x = {-6, -2}

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