(4x+5)(4x+5)=36

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Solution for (4x+5)(4x+5)=36 equation: 


Simplifying
(4x + 5)(4x + 5) = 36

Reorder the terms:
(5 + 4x)(4x + 5) = 36

Reorder the terms:
(5 + 4x)(5 + 4x) = 36

Multiply (5 + 4x) * (5 + 4x)
(5(5 + 4x) + 4x * (5 + 4x)) = 36
((5 * 5 + 4x * 5) + 4x * (5 + 4x)) = 36
((25 + 20x) + 4x * (5 + 4x)) = 36
(25 + 20x + (5 * 4x + 4x * 4x)) = 36
(25 + 20x + (20x + 16x2)) = 36

Combine like terms: 20x + 20x = 40x
(25 + 40x + 16x2) = 36

Solving
25 + 40x + 16x2 = 36

Solving for variable 'x'.

Reorder the terms:
25 + -36 + 40x + 16x2 = 36 + -36

Combine like terms: 25 + -36 = -11
-11 + 40x + 16x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-11 + 40x + 16x2 = 0

Factor a trinomial.
(-11 + -4x)(1 + -4x) = 0


Subproblem 1
Set the factor '(-11 + -4x)' equal to zero and attempt to solve:

Simplifying
-11 + -4x = 0

Solving
-11 + -4x = 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 + -4x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -4x = 0 + 11
-4x = 0 + 11

Combine like terms: 0 + 11 = 11
-4x = 11

Divide each side by '-4'.
x = -2.75

Simplifying
x = -2.75

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-2.75, 0.25}

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