4x=x^2+4x-9

Solution for 4x=x^2+4x-9 equation:

Simplifying
4x = x2 + 4x + -9

Reorder the terms:
4x = -9 + 4x + x2

Add '-4x' to each side of the equation.
4x + -4x = -9 + 4x + -4x + x2

Combine like terms: 4x + -4x = 0
0 = -9 + 4x + -4x + x2

Combine like terms: 4x + -4x = 0
0 = -9 + 0 + x2
0 = -9 + x2

Solving
0 = -9 + 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.
0 + -1x2 = -9 + x2 + -1x2
Remove the zero:
-1x2 = -9 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1x2 = -9 + 0
-1x2 = -9

Divide each side by '-1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}