(6m-11)(3m+7)=0

Simple and best practice solution for (6m-11)(3m+7)=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 (6m-11)(3m+7)=0 equation:


Simplifying
(6m + -11)(3m + 7) = 0

Reorder the terms:
(-11 + 6m)(3m + 7) = 0

Reorder the terms:
(-11 + 6m)(7 + 3m) = 0

Multiply (-11 + 6m) * (7 + 3m)
(-11(7 + 3m) + 6m * (7 + 3m)) = 0
((7 * -11 + 3m * -11) + 6m * (7 + 3m)) = 0
((-77 + -33m) + 6m * (7 + 3m)) = 0
(-77 + -33m + (7 * 6m + 3m * 6m)) = 0
(-77 + -33m + (42m + 18m2)) = 0

Combine like terms: -33m + 42m = 9m
(-77 + 9m + 18m2) = 0

Solving
-77 + 9m + 18m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -3m)(11 + -6m) = 0

Subproblem 1

Set the factor '(-7 + -3m)' equal to zero and attempt to solve: Simplifying -7 + -3m = 0 Solving -7 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3m = 0 + 7 -3m = 0 + 7 Combine like terms: 0 + 7 = 7 -3m = 7 Divide each side by '-3'. m = -2.333333333 Simplifying m = -2.333333333

Subproblem 2

Set the factor '(11 + -6m)' equal to zero and attempt to solve: Simplifying 11 + -6m = 0 Solving 11 + -6m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6m = 0 + -11 -6m = 0 + -11 Combine like terms: 0 + -11 = -11 -6m = -11 Divide each side by '-6'. m = 1.833333333 Simplifying m = 1.833333333

Solution

m = {-2.333333333, 1.833333333}

See similar equations:

| 12x-20=8x | | 3d-2=12 | | 8t+5-7t=22 | | g^2+3g-54=0 | | -x-9=11,2 | | 3a+2+4a=24 | | 1-y=0 | | 4w+8=6w | | 4(m+3)=-2 | | x(x-4)=8 | | -9n(2n-7)=0 | | -8=3+3z | | 0.5m+6.4=4.9-01m | | 4(x+5)=3(2x-4) | | 11+3x=2(3+4x) | | (x+9)(x+1)=0 | | (3x)(5y)= | | 2x+6=-21-7x | | 6(4+7x)=318 | | -18-3= | | x^3+5x^2-25x-125=0 | | X^2-3=-2x | | -2(-8-7x)=2 | | 7-3x=-22 | | (3v+7)(8+v)=0 | | 6n+1=4n+19 | | X^2+5x=3 | | 3x^2-3x+.75=0 | | 2(3-2x)=42 | | 3x+9=56-5x | | 4v(9x)-4c(3h)= | | 3x^2-10=-8 |

Equations solver categories