3m^2-29mn+56n^2=0

Simple and best practice solution for 3m^2-29mn+56n^2=0 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 3m^2-29mn+56n^2=0 equation:


Simplifying
3m2 + -29mn + 56n2 = 0

Reorder the terms:
-29mn + 3m2 + 56n2 = 0

Solving
-29mn + 3m2 + 56n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(m + -7n)(3m + -8n) = 0

Subproblem 1

Set the factor '(m + -7n)' equal to zero and attempt to solve: Simplifying m + -7n = 0 Solving m + -7n = 0 Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 m + 0 = 0 + 7n m = 0 + 7n Remove the zero: m = 7n Simplifying m = 7n

Subproblem 2

Set the factor '(3m + -8n)' equal to zero and attempt to solve: Simplifying 3m + -8n = 0 Solving 3m + -8n = 0 Move all terms containing m to the left, all other terms to the right. Add '8n' to each side of the equation. 3m + -8n + 8n = 0 + 8n Combine like terms: -8n + 8n = 0 3m + 0 = 0 + 8n 3m = 0 + 8n Remove the zero: 3m = 8n Divide each side by '3'. m = 2.666666667n Simplifying m = 2.666666667n

Solution

m = {7n, 2.666666667n}

See similar equations:

| 9-4v=4 | | 2(5x-4)=0x+0 | | 2(5x-4)=3x+3 | | 7/8x=52 | | x^2+0.6x-0.05=0 | | -11h-14=7+14h | | 6y-4z+5y-8z= | | -3w+20w= | | 12n^2+17n-7=0 | | 3(k+2)-10k+8+4= | | 4x+12=5x-25 | | (4b)^1/2×(6b)^1/4 | | 2(5x-4)=1x+2b | | (6x-3)(9x+1)=0 | | 2.9+0.2x=0.8(x-1000) | | -5(3y-8)+3(2y+10)= | | -4.9x^2+29.4x+15.9=0 | | -2k+3k-2+4k= | | -4.9x^2+29.4x-15.9=0 | | 13/8=y/11 | | 4(5+x)=(4x-1)-23 | | 3x+44=3+8x-9 | | -6b^2+96=0 | | 8=-12-4a | | 2x+4=11x | | 5x+7+x=5+2x+5 | | 0=6x^2-18x^2 | | 2x+19=3+5x-5 | | (x-10)(x-3)=8 | | -5(2t-3)+6t=8t-4 | | 2/7x4/11 | | 3/17=x/9 |

Equations solver categories