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.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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.      Log On


   

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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
Two ways to do this:

Method #1

m%5E2=7m Start with the given equation.


m%5E2-7m=0 Subtract 7m from both sides.


Notice that the quadratic m%5E2-7m is in the form of Am%5E2%2BBm%2BC where A=1, B=-7, and C=0


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


m+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


m+=+%28-%28-7%29+%2B-+sqrt%28+%28-7%29%5E2-4%281%29%280%29+%29%29%2F%282%281%29%29 Plug in A=1, B=-7, and C=0


m+=+%287+%2B-+sqrt%28+%28-7%29%5E2-4%281%29%280%29+%29%29%2F%282%281%29%29 Negate -7 to get 7.


m+=+%287+%2B-+sqrt%28+49-4%281%29%280%29+%29%29%2F%282%281%29%29 Square -7 to get 49.


m+=+%287+%2B-+sqrt%28+49-0+%29%29%2F%282%281%29%29 Multiply 4%281%29%280%29 to get 0


m+=+%287+%2B-+sqrt%28+49+%29%29%2F%282%281%29%29 Subtract 0 from 49 to get 49


m+=+%287+%2B-+sqrt%28+49+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


m+=+%287+%2B-+7%29%2F%282%29 Take the square root of 49 to get 7.


m+=+%287+%2B+7%29%2F%282%29 or m+=+%287+-+7%29%2F%282%29 Break up the expression.


m+=+%2814%29%2F%282%29 or m+=++%280%29%2F%282%29 Combine like terms.


m+=+7 or m+=+0 Simplify.


So the solutions are m+=+7 or m+=+0





Or....

Method #2


m%5E2=7m Start with the given equation.


m%5E2-7m=0 Subtract 7m from both sides.


m%28m-7%29=0 Factor out the GCF 'm'


m=0 or m-7=0 Set each factor equal to zero.


m=0 or m=7 Solve for 'm' in each case.


So the solutions are m=0 or m=7 (note: the order of the solutions does not matter)