4b(3b+6)+9=0

Simple and best practice solution for 4b(3b+6)+9=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 4b(3b+6)+9=0 equation:


Simplifying
4b(3b + 6) + 9 = 0

Reorder the terms:
4b(6 + 3b) + 9 = 0
(6 * 4b + 3b * 4b) + 9 = 0
(24b + 12b2) + 9 = 0

Reorder the terms:
9 + 24b + 12b2 = 0

Solving
9 + 24b + 12b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 8b + 4b2) = 0

Factor a trinomial.
3((3 + 2b)(1 + 2b)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5

Subproblem 2

Set the factor '(1 + 2b)' equal to zero and attempt to solve: Simplifying 1 + 2b = 0 Solving 1 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2b = 0 + -1 2b = 0 + -1 Combine like terms: 0 + -1 = -1 2b = -1 Divide each side by '2'. b = -0.5 Simplifying b = -0.5

Solution

b = {-1.5, -0.5}

See similar equations:

| 100+25w=350 | | t/4-10=-6 | | 4x+3=5x-27 | | p^2+16p+55=-5 | | J-8/-6=7 | | -6x+4x=-15 | | 4x+3=5-27 | | t/4-10=6 | | 2-x=22 | | (2+3)=12 | | x^2-20x-4000=0 | | m^2-4m-26=-5 | | ln(3x-1)=ln(x) | | Ln(3x-1)=lnx | | 2076043812/1000=x | | 9.8+(x/5)=10.4 | | w^2-11w-42= | | x/2=76 | | 1/4z=-3 | | 1/4z=-4.5 | | X^2=.02564103 | | -2-10=(z/10) | | 2x+4=100+2.6+x | | 3w^2-23w+14= | | (4/9a)=(1/9a)+(5/6) | | 4(x+3)=8x-4 | | b+8.25=22.5 | | 12x+14=4x+118 | | 2y=-7x | | 2y^2-10y=-9 | | (2/7x)-9=(5/7x)-15 | | 3x^2-25x+28= |

Equations solver categories