To solve the equation, we first need to simplify it by combining like terms on both sides.
2x^2 - 5 = x^2 - 4x
First, move all terms to one side of the equation:
2x^2 - x^2 + 4x - 5 = 0x^2 + 4x - 5 = 0
Next, factor the quadratic equation:
(x + 5)(x - 1) = 0
Setting each factor to zero:
x + 5 = 0x = -5
x - 1 = 0x = 1
Therefore, the solutions to the equation are x = -5 and x = 1.
To solve the equation, we first need to simplify it by combining like terms on both sides.
2x^2 - 5 = x^2 - 4x
First, move all terms to one side of the equation:
2x^2 - x^2 + 4x - 5 = 0
x^2 + 4x - 5 = 0
Next, factor the quadratic equation:
(x + 5)(x - 1) = 0
Setting each factor to zero:
x + 5 = 0
x = -5
x - 1 = 0
x = 1
Therefore, the solutions to the equation are x = -5 and x = 1.