21b^2+384=203b-8

Simple and best practice solution for 21b^2+384=203b-8 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 21b^2+384=203b-8 equation: 


Simplifying
21b2 + 384 = 203b + -8

Reorder the terms:
384 + 21b2 = 203b + -8

Reorder the terms:
384 + 21b2 = -8 + 203b

Solving
384 + 21b2 = -8 + 203b

Solving for variable 'b'.

Reorder the terms:
384 + 8 + -203b + 21b2 = -8 + 203b + 8 + -203b

Combine like terms: 384 + 8 = 392
392 + -203b + 21b2 = -8 + 203b + 8 + -203b

Reorder the terms:
392 + -203b + 21b2 = -8 + 8 + 203b + -203b

Combine like terms: -8 + 8 = 0
392 + -203b + 21b2 = 0 + 203b + -203b
392 + -203b + 21b2 = 203b + -203b

Combine like terms: 203b + -203b = 0
392 + -203b + 21b2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(56 + -29b + 3b2) = 0

Factor a trinomial.
7((8 + -3b)(7 + -1b)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(8 + -3b)' equal to zero and attempt to solve:

Simplifying
8 + -3b = 0

Solving
8 + -3b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3b = 0 + -8
-3b = 0 + -8

Combine like terms: 0 + -8 = -8
-3b = -8

Divide each side by '-3'.
b = 2.666666667

Simplifying
b = 2.666666667

Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {2.666666667, 7}

See similar equations:

| 4(2x+3)-2(3x-8)=10 | | 12=r/-7 | | 10x=-5+y | | 2(a+9)=34 | | 4/3a=7/4 | | 12x+8y+10+19x-6y-11= | | 80=-8(-7+m) | | 5X-7=9+8X | | 7c=3 | | -5+6p=103 | | q-2/1=3/4 | | 36=z^2 | | d/32=1.09 | | 414.48=2*3.14*r^2+2*3.14*r*5.5 | | -111=8m+1 | | ((2x+6)x(x+5))-30=0 | | 8x+7=220 | | 4x+87=5(x-24) | | 6(4+2m)=40+8m | | 198=-4x+(-6x+3) | | 5b^2-43b+28=4 | | 10x^2=25x^2 | | 1/(12cosx-13) | | 9653616=2*3.14*r^2+2*3.14*r*9.9 | | 2/3-15 | | 3x+2-5x-65=47 | | f/4=3.2 | | 3x+8-5(x-1)=2(x+6)-7x | | 5y=-30+6x | | 7a^2+23a+18=0 | | 39=2x-5(3x+16) | | Ax*(ay)z= |

Equations solver categories