=(4m+3n)(4m+3n)

Simple and best practice solution for =(4m+3n)(4m+3n) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for =(4m+3n)(4m+3n) equation: 


Simplifying
0 = (4m + 3n)(4m + 3n)

Multiply (4m + 3n) * (4m + 3n)
0 = (4m * (4m + 3n) + 3n * (4m + 3n))
0 = ((4m * 4m + 3n * 4m) + 3n * (4m + 3n))

Reorder the terms:
0 = ((12mn + 16m2) + 3n * (4m + 3n))
0 = ((12mn + 16m2) + 3n * (4m + 3n))
0 = (12mn + 16m2 + (4m * 3n + 3n * 3n))
0 = (12mn + 16m2 + (12mn + 9n2))

Reorder the terms:
0 = (12mn + 12mn + 16m2 + 9n2)

Combine like terms: 12mn + 12mn = 24mn
0 = (24mn + 16m2 + 9n2)

Solving
0 = 24mn + 16m2 + 9n2

Solving for variable 'm'.
Remove the zero:
-24mn + -16m2 + -9n2 = 24mn + 16m2 + 9n2 + -24mn + -16m2 + -9n2

Reorder the terms:
-24mn + -16m2 + -9n2 = 24mn + -24mn + 16m2 + -16m2 + 9n2 + -9n2

Combine like terms: 24mn + -24mn = 0
-24mn + -16m2 + -9n2 = 0 + 16m2 + -16m2 + 9n2 + -9n2
-24mn + -16m2 + -9n2 = 16m2 + -16m2 + 9n2 + -9n2

Combine like terms: 16m2 + -16m2 = 0
-24mn + -16m2 + -9n2 = 0 + 9n2 + -9n2
-24mn + -16m2 + -9n2 = 9n2 + -9n2

Combine like terms: 9n2 + -9n2 = 0
-24mn + -16m2 + -9n2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(24mn + 16m2 + 9n2) = 0

Factor a trinomial.
-1((4m + 3n)(4m + 3n)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4m + 3n)' equal to zero and attempt to solve:

Simplifying
4m + 3n = 0

Solving
4m + 3n = 0

Move all terms containing m to the left, all other terms to the right.

Add '-3n' to each side of the equation.
4m + 3n + -3n = 0 + -3n

Combine like terms: 3n + -3n = 0
4m + 0 = 0 + -3n
4m = 0 + -3n
Remove the zero:
4m = -3n

Divide each side by '4'.
m = -0.75n

Simplifying
m = -0.75n

Subproblem 2
Set the factor '(4m + 3n)' equal to zero and attempt to solve:

Simplifying
4m + 3n = 0

Solving
4m + 3n = 0

Move all terms containing m to the left, all other terms to the right.

Add '-3n' to each side of the equation.
4m + 3n + -3n = 0 + -3n

Combine like terms: 3n + -3n = 0
4m + 0 = 0 + -3n
4m = 0 + -3n
Remove the zero:
4m = -3n

Divide each side by '4'.
m = -0.75n

Simplifying
m = -0.75n
Solution
m = {-0.75n, -0.75n}

See similar equations:

| 6b-7=9b+10 | | x=7y-18 | | Log(x^2+4x)=3 | | 6x-(x-7)=2x-(6+x) | | 4y+28=32 | | p^2+6q+5=0 | | -12/2x-2 | | 8m^2/14m-7 | | 3(8w)=-50 | | z^2+19z=0 | | -0.2p+0.4=-12 | | 10x-52=65-4x | | 1/243=3^y | | 4(x-1)+2(2-7)=8 | | 5x+4x-52=65-4x | | f^2-10f+19=0 | | 16z+15z=19-2 | | 9x+27=17 | | 1/243=2^y | | Y-15=0(x-5) | | 9y=3y-24 | | 2n+(7)=13 | | 5x+7=13+11x | | 5z+9y+12x-42=360 | | G=-2a+4 | | 2x+3y-8(3x-8y)= | | 80+Ln(2x+3)=70 | | 2n+(-1)=9 | | 5x-(x-2)=2x-1-x | | 2x-x/2= | | 2n+(-3)=13 | | 7x-1x-1x-1= |

Equations solver categories