(x+2)(x+2)+5=30

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Solution for (x+2)(x+2)+5=30 equation:


Simplifying
(x + 2)(x + 2) + 5 = 30

Reorder the terms:
(2 + x)(x + 2) + 5 = 30

Reorder the terms:
(2 + x)(2 + x) + 5 = 30

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) + 5 = 30
((2 * 2 + x * 2) + x(2 + x)) + 5 = 30
((4 + 2x) + x(2 + x)) + 5 = 30
(4 + 2x + (2 * x + x * x)) + 5 = 30
(4 + 2x + (2x + x2)) + 5 = 30

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) + 5 = 30

Reorder the terms:
4 + 5 + 4x + x2 = 30

Combine like terms: 4 + 5 = 9
9 + 4x + x2 = 30

Solving
9 + 4x + x2 = 30

Solving for variable 'x'.

Reorder the terms:
9 + -30 + 4x + x2 = 30 + -30

Combine like terms: 9 + -30 = -21
-21 + 4x + x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-21 + 4x + x2 = 0

Factor a trinomial.
(-7 + -1x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-7, 3}

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