(5x+4)(5x+4)=81

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Solution for (5x+4)(5x+4)=81 equation: 


Simplifying
(5x + 4)(5x + 4) = 81

Reorder the terms:
(4 + 5x)(5x + 4) = 81

Reorder the terms:
(4 + 5x)(4 + 5x) = 81

Multiply (4 + 5x) * (4 + 5x)
(4(4 + 5x) + 5x * (4 + 5x)) = 81
((4 * 4 + 5x * 4) + 5x * (4 + 5x)) = 81
((16 + 20x) + 5x * (4 + 5x)) = 81
(16 + 20x + (4 * 5x + 5x * 5x)) = 81
(16 + 20x + (20x + 25x2)) = 81

Combine like terms: 20x + 20x = 40x
(16 + 40x + 25x2) = 81

Solving
16 + 40x + 25x2 = 81

Solving for variable 'x'.

Reorder the terms:
16 + -81 + 40x + 25x2 = 81 + -81

Combine like terms: 16 + -81 = -65
-65 + 40x + 25x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-65 + 40x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-13 + 8x + 5x2) = 0

Factor a trinomial.
5((-13 + -5x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-13 + -5x)' equal to zero and attempt to solve:

Simplifying
-13 + -5x = 0

Solving
-13 + -5x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -5x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -5x = 0 + 13
-5x = 0 + 13

Combine like terms: 0 + 13 = 13
-5x = 13

Divide each side by '-5'.
x = -2.6

Simplifying
x = -2.6

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-2.6, 1}

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