SOLUTION: I need your help solving the following equation: m^2=7m I already have the answer, but I can't manage to solve it by myself, I need a step-by-step solution. Thank you.

Question 207053: I need your help solving the following equation:
m^2=7m
I already have the answer, but I can't manage to solve it by myself, I need a step-by-step solution.
Thank you.
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
m^2=7m
m^2 - 7m = 0
m*(m-7) = 0
m = 0
m = 7

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Two ways to do this:

Method #1

Start with the given equation.

Subtract 7m from both sides.

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "m":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions are or

Or....

Method #2

Start with the given equation.

Subtract 7m from both sides.

Factor out the GCF 'm'

or Set each factor equal to zero.

or Solve for 'm' in each case.

So the solutions are or (note: the order of the solutions does not matter)

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