how do i solve this problem? X^2-4X=0
factor it first
x(x - 4) = 0
so
x = 0 or x = 4
thanks
To solve the equation X^2 - 4X = 0, you can employ a method called factoring. Factoring involves breaking down an equation into separate factors and setting each factor equal to zero.
Step 1: Write the equation: X^2 - 4X = 0
Step 2: Factor out the common term, X: X(X - 4) = 0
Step 3: Set each factor equal to zero and solve for X:
a) X = 0
b) X - 4 = 0
For a), X = 0 is already solved.
For b), add 4 to both sides of the equation:
X = 4
So, the solutions to the equation are X = 0 and X = 4.
To check our answers, substitute each solution back into the original equation:
For X = 0: 0^2 - 4(0) = 0 - 0 = 0 (satisfied)
For X = 4: 4^2 - 4(4) = 16 - 16 = 0 (satisfied)
Therefore, the solutions X = 0 and X = 4 are correct.