x=5x^2+x-4

Solution for x=5x^2+x-4 equation:

Simplifying
x = 5x2 + x + -4

Reorder the terms:
x = -4 + x + 5x2

Add '-1x' to each side of the equation.
x + -1x = -4 + x + -1x + 5x2

Combine like terms: x + -1x = 0
0 = -4 + x + -1x + 5x2

Combine like terms: x + -1x = 0
0 = -4 + 0 + 5x2
0 = -4 + 5x2

Solving
0 = -4 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
0 + -5x2 = -4 + 5x2 + -5x2
Remove the zero:
-5x2 = -4 + 5x2 + -5x2

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

Divide each side by '-5'.
x2 = 0.8

Simplifying
x2 = 0.8

Take the square root of each side:
x = {-0.894427191, 0.894427191}