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

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


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

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

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

Multiply (9 + x) * (9 + x)
(9(9 + x) + x(9 + x)) = 9
((9 * 9 + x * 9) + x(9 + x)) = 9
((81 + 9x) + x(9 + x)) = 9
(81 + 9x + (9 * x + x * x)) = 9
(81 + 9x + (9x + x2)) = 9

Combine like terms: 9x + 9x = 18x
(81 + 18x + x2) = 9

Solving
81 + 18x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
81 + -9 + 18x + x2 = 9 + -9

Combine like terms: 81 + -9 = 72
72 + 18x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
72 + 18x + x2 = 0

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {-12, -6}

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