10b^2-13bc-3c^2=

Simple and best practice solution for 10b^2-13bc-3c^2= 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 10b^2-13bc-3c^2= equation: 


Simplifying
10b2 + -13bc + -3c2 = 0

Reorder the terms:
-13bc + 10b2 + -3c2 = 0

Solving
-13bc + 10b2 + -3c2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2b + -3c)(5b + c) = 0


Subproblem 1
Set the factor '(2b + -3c)' equal to zero and attempt to solve:

Simplifying
2b + -3c = 0

Solving
2b + -3c = 0

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

Add '3c' to each side of the equation.
2b + -3c + 3c = 0 + 3c

Combine like terms: -3c + 3c = 0
2b + 0 = 0 + 3c
2b = 0 + 3c
Remove the zero:
2b = 3c

Divide each side by '2'.
b = 1.5c

Simplifying
b = 1.5c

Subproblem 2
Set the factor '(5b + c)' equal to zero and attempt to solve:

Simplifying
5b + c = 0

Solving
5b + c = 0

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

Add '-1c' to each side of the equation.
5b + c + -1c = 0 + -1c

Combine like terms: c + -1c = 0
5b + 0 = 0 + -1c
5b = 0 + -1c
Remove the zero:
5b = -1c

Divide each side by '5'.
b = -0.2c

Simplifying
b = -0.2c
Solution
b = {1.5c, -0.2c}

See similar equations:

| -2c=c-27 | | 8(z-1)-2z=-(z+5) | | x+7-5+3=34 | | 4.6(x-3.4)=5.1x | | R-520=350 | | 2d+16.66=6(.333d+1) | | d=-8 | | 52/8=21/4 | | -5-x+3x=9 | | w=-2 | | 10-g=-34-5g | | r-1=5r-7 | | 5x-2/5=-49/10 | | -2(6m-1)=-16-6m | | 9+(9/x-4) | | 0.8x=10 | | n-8.5=12.6 | | 2(8-h)-h=h-16 | | -2(x-1)=3(x+2) | | X/3=-y/6+1 | | -6(2y+3)= | | -18x=2x+21 | | 7-2(4x+6)-4(1-5x)-23x=9x-(3-2x)+1-3(6x-7) | | 2y=2(10x+2) | | 0.8x=8. | | 2x+4x-5=7x-1 | | 5z-4+3z=8-z | | -8y=2y+40 | | 88/8-12=-1 | | 7x+2=6x-12 | | 7-3/8h=-8 | | 5(x-1)=8(1-x) |

Equations solver categories