3b^2-108=9b-12b^2

Simple and best practice solution for 3b^2-108=9b-12b^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 3b^2-108=9b-12b^2 equation:


Simplifying
3b2 + -108 = 9b + -12b2

Reorder the terms:
-108 + 3b2 = 9b + -12b2

Solving
-108 + 3b2 = 9b + -12b2

Solving for variable 'b'.

Reorder the terms:
-108 + -9b + 3b2 + 12b2 = 9b + -12b2 + -9b + 12b2

Combine like terms: 3b2 + 12b2 = 15b2
-108 + -9b + 15b2 = 9b + -12b2 + -9b + 12b2

Reorder the terms:
-108 + -9b + 15b2 = 9b + -9b + -12b2 + 12b2

Combine like terms: 9b + -9b = 0
-108 + -9b + 15b2 = 0 + -12b2 + 12b2
-108 + -9b + 15b2 = -12b2 + 12b2

Combine like terms: -12b2 + 12b2 = 0
-108 + -9b + 15b2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-36 + -3b + 5b2) = 0

Factor a trinomial.
3((-12 + -5b)(3 + -1b)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-12 + -5b)' equal to zero and attempt to solve: Simplifying -12 + -5b = 0 Solving -12 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5b = 0 + 12 -5b = 0 + 12 Combine like terms: 0 + 12 = 12 -5b = 12 Divide each side by '-5'. b = -2.4 Simplifying b = -2.4

Subproblem 2

Set the factor '(3 + -1b)' equal to zero and attempt to solve: Simplifying 3 + -1b = 0 Solving 3 + -1b = 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 + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 0 + -3 -1b = 0 + -3 Combine like terms: 0 + -3 = -3 -1b = -3 Divide each side by '-1'. b = 3 Simplifying b = 3

Solution

b = {-2.4, 3}

See similar equations:

| -3-3/2y=-2 | | 6-13x=-7x | | 8x-4-5x=-18 | | 2x+4+3x=3(5x+9)+3x | | (5x-13)=(11x-61) | | -3x+10x=10+4 | | 6x^2+12x+156=0 | | 500=0.75 | | 43=6.2+2.4x | | x^2-1x-1+1=15-7x^2 | | 3(x+9)-4(x-6)=10 | | (8+3x)+7= | | 9+(-2k)+(-4)-6k+1=0 | | 12r+r=65 | | .75x-7=.25x-3 | | 48=47h-18h | | (5/2)(-3/2)÷45 | | w-8-4=2w-5 | | -11n+-8n=-12 | | -71=n+-71 | | -4-2(1-x)=-6+8x | | -11n^2-15n+56=-12n^2-15n-8 | | 48-6y=36 | | 25y+16c+25c-18b+9= | | .60p=30-p | | 50=100x | | 10x-35+42-3x=2 | | -16x^2+112x=96 | | 3-3/2y=-2 | | 2y-4y-y-10+15= | | 5-3/2y=-2 | | =6x^4-11x^3-21x^2+44x-12 |

Equations solver categories