(x+6)(x+6)=9

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Solution for (x+6)(x+6)=9 equation:


Simplifying
(x + 6)(x + 6) = 9

Reorder the terms:
(6 + x)(x + 6) = 9

Reorder the terms:
(6 + x)(6 + x) = 9

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x)) = 9
((6 * 6 + x * 6) + x(6 + x)) = 9
((36 + 6x) + x(6 + x)) = 9
(36 + 6x + (6 * x + x * x)) = 9
(36 + 6x + (6x + x2)) = 9

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2) = 9

Solving
36 + 12x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
36 + -9 + 12x + x2 = 9 + -9

Combine like terms: 36 + -9 = 27
27 + 12x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
27 + 12x + x2 = 0

Factor a trinomial.
(9 + x)(3 + x) = 0

Subproblem 1

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Subproblem 2

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

Solution

x = {-9, -3}

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