4x^2+x-37=x^2+x+43

Solution for 4x^2+x-37=x^2+x+43 equation:

Simplifying
4x2 + x + -37 = x2 + x + 43

Reorder the terms:
-37 + x + 4x2 = x2 + x + 43

Reorder the terms:
-37 + x + 4x2 = 43 + x + x2

Add '-1x' to each side of the equation.
-37 + x + -1x + 4x2 = 43 + x + -1x + x2

Combine like terms: x + -1x = 0
-37 + 0 + 4x2 = 43 + x + -1x + x2
-37 + 4x2 = 43 + x + -1x + x2

Combine like terms: x + -1x = 0
-37 + 4x2 = 43 + 0 + x2
-37 + 4x2 = 43 + x2

Solving
-37 + 4x2 = 43 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-37 + 4x2 + -1x2 = 43 + x2 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-37 + 3x2 = 43 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-37 + 3x2 = 43 + 0
-37 + 3x2 = 43

Add '37' to each side of the equation.
-37 + 37 + 3x2 = 43 + 37

Combine like terms: -37 + 37 = 0
0 + 3x2 = 43 + 37
3x2 = 43 + 37

Combine like terms: 43 + 37 = 80
3x2 = 80

Divide each side by '3'.
x2 = 26.66666667

Simplifying
x2 = 26.66666667

Take the square root of each side:
x = {-5.163977795, 5.163977795}