3x^2+110=4x^2+1x

Solution for 3x^2+110=4x^2+1x equation:

Simplifying
3x2 + 110 = 4x2 + 1x

Reorder the terms:
110 + 3x2 = 4x2 + 1x

Reorder the terms:
110 + 3x2 = 1x + 4x2

Solving
110 + 3x2 = 1x + 4x2

Solving for variable 'x'.

Reorder the terms:
110 + -1x + 3x2 + -4x2 = 1x + 4x2 + -1x + -4x2

Combine like terms: 3x2 + -4x2 = -1x2
110 + -1x + -1x2 = 1x + 4x2 + -1x + -4x2

Reorder the terms:
110 + -1x + -1x2 = 1x + -1x + 4x2 + -4x2

Combine like terms: 1x + -1x = 0
110 + -1x + -1x2 = 0 + 4x2 + -4x2
110 + -1x + -1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
110 + -1x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(11 + x) = 0

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

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

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

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

Simplifying
x = -11
Solution
x = {10, -11}