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

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


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

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

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

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

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

Solving
4 + 20x + 25x2 = 25

Solving for variable 'x'.

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

Combine like terms: 4 + -25 = -21
-21 + 20x + 25x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-21 + 20x + 25x2 = 0

Factor a trinomial.
(-7 + -5x)(3 + -5x) = 0


Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve:

Simplifying
-7 + -5x = 0

Solving
-7 + -5x = 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 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-1.4, 0.6}

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