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

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

Simplifying
4x2 + x + -37 = -1x2 + x + 43

Reorder the terms:
-37 + x + 4x2 = -1x2 + x + 43

Reorder the terms:
-37 + x + 4x2 = 43 + x + -1x2

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

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

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

Solving
-37 + 4x2 = 43 + -1x2

Solving for variable 'x'.

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

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

Combine like terms: 4x2 + x2 = 5x2
-37 + 5x2 = 43 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-37 + 5x2 = 43 + 0
-37 + 5x2 = 43

Add '37' to each side of the equation.
-37 + 37 + 5x2 = 43 + 37

Combine like terms: -37 + 37 = 0
0 + 5x2 = 43 + 37
5x2 = 43 + 37

Combine like terms: 43 + 37 = 80
5x2 = 80

Divide each side by '5'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}