7x^2 = (2x+1)^2 + 3x^2 - 5
Expanding the right side of the equation:
7x^2 = (2x+1)(2x+1) + 3x^2 - 57x^2 = 4x^2 + 2x + 2x + 1 + 3x^2 - 57x^2 = 7x^2 + 4x - 4
Subtracting 7x^2 from both sides:
0 = 4x - 4
Adding 4 to both sides:
4 = 4x
Dividing by 4:
x = 1
Therefore, the solution to the equation is x = 1.
7x^2 = (2x+1)^2 + 3x^2 - 5
Expanding the right side of the equation:
7x^2 = (2x+1)(2x+1) + 3x^2 - 5
7x^2 = 4x^2 + 2x + 2x + 1 + 3x^2 - 5
7x^2 = 7x^2 + 4x - 4
Subtracting 7x^2 from both sides:
0 = 4x - 4
Adding 4 to both sides:
4 = 4x
Dividing by 4:
x = 1
Therefore, the solution to the equation is x = 1.