=(10x+25)(10x+25)

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Solution for =(10x+25)(10x+25) equation: 


Simplifying
0 = (10x + 25)(10x + 25)

Reorder the terms:
0 = (25 + 10x)(10x + 25)

Reorder the terms:
0 = (25 + 10x)(25 + 10x)

Multiply (25 + 10x) * (25 + 10x)
0 = (25(25 + 10x) + 10x * (25 + 10x))
0 = ((25 * 25 + 10x * 25) + 10x * (25 + 10x))
0 = ((625 + 250x) + 10x * (25 + 10x))
0 = (625 + 250x + (25 * 10x + 10x * 10x))
0 = (625 + 250x + (250x + 100x2))

Combine like terms: 250x + 250x = 500x
0 = (625 + 500x + 100x2)

Solving
0 = 625 + 500x + 100x2

Solving for variable 'x'.

Combine like terms: 0 + -625 = -625
-625 + -500x + -100x2 = 625 + 500x + 100x2 + -625 + -500x + -100x2

Reorder the terms:
-625 + -500x + -100x2 = 625 + -625 + 500x + -500x + 100x2 + -100x2

Combine like terms: 625 + -625 = 0
-625 + -500x + -100x2 = 0 + 500x + -500x + 100x2 + -100x2
-625 + -500x + -100x2 = 500x + -500x + 100x2 + -100x2

Combine like terms: 500x + -500x = 0
-625 + -500x + -100x2 = 0 + 100x2 + -100x2
-625 + -500x + -100x2 = 100x2 + -100x2

Combine like terms: 100x2 + -100x2 = 0
-625 + -500x + -100x2 = 0

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

Factor a trinomial.
-25((5 + 2x)(5 + 2x)) = 0

Ignore the factor -25.

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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