3b^2-18b=10b-49

Simple and best practice solution for 3b^2-18b=10b-49 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^2-18b=10b-49 equation: 


Simplifying
3b2 + -18b = 10b + -49

Reorder the terms:
-18b + 3b2 = 10b + -49

Reorder the terms:
-18b + 3b2 = -49 + 10b

Solving
-18b + 3b2 = -49 + 10b

Solving for variable 'b'.

Reorder the terms:
49 + -18b + -10b + 3b2 = -49 + 10b + 49 + -10b

Combine like terms: -18b + -10b = -28b
49 + -28b + 3b2 = -49 + 10b + 49 + -10b

Reorder the terms:
49 + -28b + 3b2 = -49 + 49 + 10b + -10b

Combine like terms: -49 + 49 = 0
49 + -28b + 3b2 = 0 + 10b + -10b
49 + -28b + 3b2 = 10b + -10b

Combine like terms: 10b + -10b = 0
49 + -28b + 3b2 = 0

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


Subproblem 1
Set the factor '(7 + -3b)' equal to zero and attempt to solve:

Simplifying
7 + -3b = 0

Solving
7 + -3b = 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 + -3b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3b = 0 + -7
-3b = 0 + -7

Combine like terms: 0 + -7 = -7
-3b = -7

Divide each side by '-3'.
b = 2.333333333

Simplifying
b = 2.333333333

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 = {2.333333333, 7}

See similar equations:

| -5y+3=28 | | 4a^2-18a+5=15 | | 8a+6a=-2a-16 | | 14=-4+6 | | 2x+17=10x+2 | | 35-7= | | 8x^2+5x=3+7x | | 2x-56=-8x+14 | | 2x+17=10x+240 | | -7+2n=42 | | 2a+4a-6=0 | | 16y^2+2y-3=0 | | 11+5n=19 | | 4a-3(5a-14)=5(7+a)-9 | | 3x+13=33+7 | | 7a^2=-65a-18 | | 9x-3=4x+9x+6 | | y+10=2y+3 | | -5a+4=16 | | 3y-2(2y-7)=2(3+y)-4 | | 2x+8+3x=48 | | 16+5x=x-4 | | 12x^2-15=-8x | | (2p-1)(2p-1)= | | 10-7x=4(11-6x) | | 4h+10=2h-22 | | 9-4x=5(9-8x) | | -7+18x-9x^2=0 | | 3r+7(8r+7)= | | 8x+6=2(7x+9) | | (y-1)+2y=8 | | Ln(x^7)-ln(x^4)=3 |

Equations solver categories