(x+3)(x+3)-4=0

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Solution for (x+3)(x+3)-4=0 equation:


Simplifying
(x + 3)(x + 3) + -4 = 0

Reorder the terms:
(3 + x)(x + 3) + -4 = 0

Reorder the terms:
(3 + x)(3 + x) + -4 = 0

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) + -4 = 0
((3 * 3 + x * 3) + x(3 + x)) + -4 = 0
((9 + 3x) + x(3 + x)) + -4 = 0
(9 + 3x + (3 * x + x * x)) + -4 = 0
(9 + 3x + (3x + x2)) + -4 = 0

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) + -4 = 0

Reorder the terms:
9 + -4 + 6x + x2 = 0

Combine like terms: 9 + -4 = 5
5 + 6x + x2 = 0

Solving
5 + 6x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + x)(1 + x) = 0

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

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

Solution

x = {-5, -1}

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