2x^2+5x=x^2+5x+4

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

Simplifying
2x2 + 5x = x2 + 5x + 4

Reorder the terms:
5x + 2x2 = x2 + 5x + 4

Reorder the terms:
5x + 2x2 = 4 + 5x + x2

Add '-5x' to each side of the equation.
5x + -5x + 2x2 = 4 + 5x + -5x + x2

Combine like terms: 5x + -5x = 0
0 + 2x2 = 4 + 5x + -5x + x2
2x2 = 4 + 5x + -5x + x2

Combine like terms: 5x + -5x = 0
2x2 = 4 + 0 + x2
2x2 = 4 + x2

Solving
2x2 = 4 + 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.
2x2 + -1x2 = 4 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
1x2 = 4 + x2 + -1x2

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

Divide each side by '1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}