(3a-2b)(2a+11b)=0

Simple and best practice solution for (3a-2b)(2a+11b)=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 (3a-2b)(2a+11b)=0 equation: 


Simplifying
(3a + -2b)(2a + 11b) = 0

Multiply (3a + -2b) * (2a + 11b)
(3a * (2a + 11b) + -2b * (2a + 11b)) = 0
((2a * 3a + 11b * 3a) + -2b * (2a + 11b)) = 0

Reorder the terms:
((33ab + 6a2) + -2b * (2a + 11b)) = 0
((33ab + 6a2) + -2b * (2a + 11b)) = 0
(33ab + 6a2 + (2a * -2b + 11b * -2b)) = 0
(33ab + 6a2 + (-4ab + -22b2)) = 0

Reorder the terms:
(33ab + -4ab + 6a2 + -22b2) = 0

Combine like terms: 33ab + -4ab = 29ab
(29ab + 6a2 + -22b2) = 0

Solving
29ab + 6a2 + -22b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3a + -2b)(2a + 11b) = 0


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

Simplifying
3a + -2b = 0

Solving
3a + -2b = 0

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

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

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

Divide each side by '3'.
a = 0.6666666667b

Simplifying
a = 0.6666666667b

Subproblem 2
Set the factor '(2a + 11b)' equal to zero and attempt to solve:

Simplifying
2a + 11b = 0

Solving
2a + 11b = 0

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

Add '-11b' to each side of the equation.
2a + 11b + -11b = 0 + -11b

Combine like terms: 11b + -11b = 0
2a + 0 = 0 + -11b
2a = 0 + -11b
Remove the zero:
2a = -11b

Divide each side by '2'.
a = -5.5b

Simplifying
a = -5.5b
Solution
a = {0.6666666667b, -5.5b}

See similar equations:

| 3x+2(-x-4)=-10 | | 0.5w+2=-5 | | 4(2x+2)-5= | | -4x+6x-9=2(x-6)-3 | | 8x^2+5=-4 | | 2x-5=8-2 | | (1/3)x=-15 | | (4x^2-8x-2)(x^4+3x^2+4x)= | | 624.75=x+(x*.4) | | 4r+2+3=-2 | | 4+5t=64 | | ln(y-41)=3x | | 6(3x+2y)= | | -4y-5=-4y | | 41+6y-10=17y-14-2y | | 0.75-4z+1.25z-0.5+0.5z= | | 20+x-7+3x= | | 12(6x+2)=14(8x+20) | | 60x-24= | | 0.1=-22.4 | | 18=3(3x-2) | | 10=10log1/x | | (3x^3-9x+7)(x^2-2x+1)= | | h=3+5t-5t^2 | | 16x+16=4(4x+4) | | 16=w/-3-12= | | 1/2x^2=24 | | 19 = g2+ 16 | | 21-2x=-2x | | 5.50=19.72x | | 9x+8=3x+1 | | (3x^2+x-2)(-4x^2-2x-1)= |

Equations solver categories