(5x+1)(5x+1)=49

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Solution for (5x+1)(5x+1)=49 equation: 


Simplifying
(5x + 1)(5x + 1) = 49

Reorder the terms:
(1 + 5x)(5x + 1) = 49

Reorder the terms:
(1 + 5x)(1 + 5x) = 49

Multiply (1 + 5x) * (1 + 5x)
(1(1 + 5x) + 5x * (1 + 5x)) = 49
((1 * 1 + 5x * 1) + 5x * (1 + 5x)) = 49
((1 + 5x) + 5x * (1 + 5x)) = 49
(1 + 5x + (1 * 5x + 5x * 5x)) = 49
(1 + 5x + (5x + 25x2)) = 49

Combine like terms: 5x + 5x = 10x
(1 + 10x + 25x2) = 49

Solving
1 + 10x + 25x2 = 49

Solving for variable 'x'.

Reorder the terms:
1 + -49 + 10x + 25x2 = 49 + -49

Combine like terms: 1 + -49 = -48
-48 + 10x + 25x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-48 + 10x + 25x2 = 0

Factor a trinomial.
(-8 + -5x)(6 + -5x) = 0


Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-1.6, 1.2}

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