(x+5)(x+5)=25

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Solution for (x+5)(x+5)=25 equation: 


Simplifying
(x + 5)(x + 5) = 25

Reorder the terms:
(5 + x)(x + 5) = 25

Reorder the terms:
(5 + x)(5 + x) = 25

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = 25
((5 * 5 + x * 5) + x(5 + x)) = 25
((25 + 5x) + x(5 + x)) = 25
(25 + 5x + (5 * x + x * x)) = 25
(25 + 5x + (5x + x2)) = 25

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = 25

Add '-25' to each side of the equation.
25 + 10x + -25 + x2 = 25 + -25

Reorder the terms:
25 + -25 + 10x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
0 + 10x + x2 = 25 + -25
10x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
10x + x2 = 0

Solving
10x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {0, -10}

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