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

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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 4x2 + -4x2 = 0
43 + -5x2 = -37 + 0
43 + -5x2 = -37

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

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

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

Divide each side by '-5'.
x2 = 16

Simplifying
x2 = 16

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