How do I get 0 and 7 out of
2x^2 = x^2 +7x
rearrange
x^2-7x=0
x(x-7=0
roots x=0,7
Thank you
To get 0 and 7 out of the equation 2x^2 = x^2 + 7x, we need to solve for x.
Step 1: Simplify the equation:
Start by combining like terms on the right side of the equation. Subtract x^2 and 7x from both sides:
2x^2 - x^2 - 7x = 0
Simplifying further:
x^2 - 7x = 0
Step 2: Factor out common terms:
To factor out x, we have:
x(x - 7) = 0
Step 3: Set each factor equal to zero:
Set x - 7 = 0 and x = 0.
Solving for x, we have:
x = 7 and x = 0
Therefore, the solutions to the equation 2x^2 = x^2 + 7x are x = 7 and x = 0.