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

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


Simplifying
0 = (2x + 5)(2x + 5)

Reorder the terms:
0 = (5 + 2x)(2x + 5)

Reorder the terms:
0 = (5 + 2x)(5 + 2x)

Multiply (5 + 2x) * (5 + 2x)
0 = (5(5 + 2x) + 2x * (5 + 2x))
0 = ((5 * 5 + 2x * 5) + 2x * (5 + 2x))
0 = ((25 + 10x) + 2x * (5 + 2x))
0 = (25 + 10x + (5 * 2x + 2x * 2x))
0 = (25 + 10x + (10x + 4x2))

Combine like terms: 10x + 10x = 20x
0 = (25 + 20x + 4x2)

Solving
0 = 25 + 20x + 4x2

Solving for variable 'x'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(25 + 20x + 4x2) = 0

Factor a trinomial.
-1((5 + 2x)(5 + 2x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-2.5, -2.5}

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