(5x+3)(5x+3)=81

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Solution for (5x+3)(5x+3)=81 equation: 


Simplifying
(5x + 3)(5x + 3) = 81

Reorder the terms:
(3 + 5x)(5x + 3) = 81

Reorder the terms:
(3 + 5x)(3 + 5x) = 81

Multiply (3 + 5x) * (3 + 5x)
(3(3 + 5x) + 5x * (3 + 5x)) = 81
((3 * 3 + 5x * 3) + 5x * (3 + 5x)) = 81
((9 + 15x) + 5x * (3 + 5x)) = 81
(9 + 15x + (3 * 5x + 5x * 5x)) = 81
(9 + 15x + (15x + 25x2)) = 81

Combine like terms: 15x + 15x = 30x
(9 + 30x + 25x2) = 81

Solving
9 + 30x + 25x2 = 81

Solving for variable 'x'.

Reorder the terms:
9 + -81 + 30x + 25x2 = 81 + -81

Combine like terms: 9 + -81 = -72
-72 + 30x + 25x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-72 + 30x + 25x2 = 0

Factor a trinomial.
(-12 + -5x)(6 + -5x) = 0


Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve:

Simplifying
-12 + -5x = 0

Solving
-12 + -5x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 0 + 12
-5x = 0 + 12

Combine like terms: 0 + 12 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

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 = {-2.4, 1.2}

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