(5x+4)(5x+4)=4

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Solution for (5x+4)(5x+4)=4 equation: 


Simplifying
(5x + 4)(5x + 4) = 4

Reorder the terms:
(4 + 5x)(5x + 4) = 4

Reorder the terms:
(4 + 5x)(4 + 5x) = 4

Multiply (4 + 5x) * (4 + 5x)
(4(4 + 5x) + 5x * (4 + 5x)) = 4
((4 * 4 + 5x * 4) + 5x * (4 + 5x)) = 4
((16 + 20x) + 5x * (4 + 5x)) = 4
(16 + 20x + (4 * 5x + 5x * 5x)) = 4
(16 + 20x + (20x + 25x2)) = 4

Combine like terms: 20x + 20x = 40x
(16 + 40x + 25x2) = 4

Solving
16 + 40x + 25x2 = 4

Solving for variable 'x'.

Reorder the terms:
16 + -4 + 40x + 25x2 = 4 + -4

Combine like terms: 16 + -4 = 12
12 + 40x + 25x2 = 4 + -4

Combine like terms: 4 + -4 = 0
12 + 40x + 25x2 = 0

Factor a trinomial.
(6 + 5x)(2 + 5x) = 0


Subproblem 1
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

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

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

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

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-1.2, -0.4}

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