x(x-2)=x^2+7x+4

Solution for x(x-2)=x^2+7x+4 equation:

Simplifying
x(x + -2) = x2 + 7x + 4

Reorder the terms:
x(-2 + x) = x2 + 7x + 4
(-2 * x + x * x) = x2 + 7x + 4
(-2x + x2) = x2 + 7x + 4

Reorder the terms:
-2x + x2 = 4 + 7x + x2

Add '-1x2' to each side of the equation.
-2x + x2 + -1x2 = 4 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x + 0 = 4 + 7x + x2 + -1x2
-2x = 4 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2x = 4 + 7x + 0
-2x = 4 + 7x

Solving
-2x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2x + -7x = 4 + 7x + -7x

Combine like terms: -2x + -7x = -9x
-9x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9x = 4 + 0
-9x = 4

Divide each side by '-9'.
x = -0.4444444444

Simplifying
x = -0.4444444444