(4x+5)(4x+5)=16

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Solution for (4x+5)(4x+5)=16 equation: 


Simplifying
(4x + 5)(4x + 5) = 16

Reorder the terms:
(5 + 4x)(4x + 5) = 16

Reorder the terms:
(5 + 4x)(5 + 4x) = 16

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

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

Solving
25 + 40x + 16x2 = 16

Solving for variable 'x'.

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

Combine like terms: 25 + -16 = 9
9 + 40x + 16x2 = 16 + -16

Combine like terms: 16 + -16 = 0
9 + 40x + 16x2 = 0

Factor a trinomial.
(9 + 4x)(1 + 4x) = 0


Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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 = {-2.25, -0.25}

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