x+9=4x^2+4

Solution for x+9=4x^2+4 equation:

Simplifying
x + 9 = 4x2 + 4

Reorder the terms:
9 + x = 4x2 + 4

Reorder the terms:
9 + x = 4 + 4x2

Solving
9 + x = 4 + 4x2

Solving for variable 'x'.

Reorder the terms:
9 + -4 + x + -4x2 = 4 + 4x2 + -4 + -4x2

Combine like terms: 9 + -4 = 5
5 + x + -4x2 = 4 + 4x2 + -4 + -4x2

Reorder the terms:
5 + x + -4x2 = 4 + -4 + 4x2 + -4x2

Combine like terms: 4 + -4 = 0
5 + x + -4x2 = 0 + 4x2 + -4x2
5 + x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
5 + x + -4x2 = 0

Factor a trinomial.
(5 + -4x)(1 + x) = 0

Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {1.25, -1}