(2x+5)(2x+5)=25

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Solution for (2x+5)(2x+5)=25 equation:


Simplifying
(2x + 5)(2x + 5) = 25

Reorder the terms:
(5 + 2x)(2x + 5) = 25

Reorder the terms:
(5 + 2x)(5 + 2x) = 25

Multiply (5 + 2x) * (5 + 2x)
(5(5 + 2x) + 2x * (5 + 2x)) = 25
((5 * 5 + 2x * 5) + 2x * (5 + 2x)) = 25
((25 + 10x) + 2x * (5 + 2x)) = 25
(25 + 10x + (5 * 2x + 2x * 2x)) = 25
(25 + 10x + (10x + 4x2)) = 25

Combine like terms: 10x + 10x = 20x
(25 + 20x + 4x2) = 25

Add '-25' to each side of the equation.
25 + 20x + -25 + 4x2 = 25 + -25

Reorder the terms:
25 + -25 + 20x + 4x2 = 25 + -25

Combine like terms: 25 + -25 = 0
0 + 20x + 4x2 = 25 + -25
20x + 4x2 = 25 + -25

Combine like terms: 25 + -25 = 0
20x + 4x2 = 0

Solving
20x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(5 + x) = 0

Ignore the factor 4.

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 '(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
Solution
x = {0, -5}

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