x^2+4=4x^2+1x

Solution for x^2+4=4x^2+1x equation:

Simplifying
x2 + 4 = 4x2 + 1x

Reorder the terms:
4 + x2 = 4x2 + 1x

Reorder the terms:
4 + x2 = 1x + 4x2

Solving
4 + x2 = 1x + 4x2

Solving for variable 'x'.

Reorder the terms:
4 + -1x + x2 + -4x2 = 1x + 4x2 + -1x + -4x2

Combine like terms: x2 + -4x2 = -3x2
4 + -1x + -3x2 = 1x + 4x2 + -1x + -4x2

Reorder the terms:
4 + -1x + -3x2 = 1x + -1x + 4x2 + -4x2

Combine like terms: 1x + -1x = 0
4 + -1x + -3x2 = 0 + 4x2 + -4x2
4 + -1x + -3x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + -1x + -3x2 = 0

Factor a trinomial.
(1 + -1x)(4 + 3x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {1, -1.333333333}