(5x+9)(5x+9)=4

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Solution for (5x+9)(5x+9)=4 equation: 


Simplifying
(5x + 9)(5x + 9) = 4

Reorder the terms:
(9 + 5x)(5x + 9) = 4

Reorder the terms:
(9 + 5x)(9 + 5x) = 4

Multiply (9 + 5x) * (9 + 5x)
(9(9 + 5x) + 5x * (9 + 5x)) = 4
((9 * 9 + 5x * 9) + 5x * (9 + 5x)) = 4
((81 + 45x) + 5x * (9 + 5x)) = 4
(81 + 45x + (9 * 5x + 5x * 5x)) = 4
(81 + 45x + (45x + 25x2)) = 4

Combine like terms: 45x + 45x = 90x
(81 + 90x + 25x2) = 4

Solving
81 + 90x + 25x2 = 4

Solving for variable 'x'.

Reorder the terms:
81 + -4 + 90x + 25x2 = 4 + -4

Combine like terms: 81 + -4 = 77
77 + 90x + 25x2 = 4 + -4

Combine like terms: 4 + -4 = 0
77 + 90x + 25x2 = 0

Factor a trinomial.
(11 + 5x)(7 + 5x) = 0


Subproblem 1
Set the factor '(11 + 5x)' equal to zero and attempt to solve:

Simplifying
11 + 5x = 0

Solving
11 + 5x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 0 + -11
5x = 0 + -11

Combine like terms: 0 + -11 = -11
5x = -11

Divide each side by '5'.
x = -2.2

Simplifying
x = -2.2

Subproblem 2
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
Solution
x = {-2.2, -1.4}

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