10b^2=28b-18

Simple and best practice solution for 10b^2=28b-18 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 10b^2=28b-18 equation:


Simplifying
10b2 = 28b + -18

Reorder the terms:
10b2 = -18 + 28b

Solving
10b2 = -18 + 28b

Solving for variable 'b'.

Reorder the terms:
18 + -28b + 10b2 = -18 + 28b + 18 + -28b

Reorder the terms:
18 + -28b + 10b2 = -18 + 18 + 28b + -28b

Combine like terms: -18 + 18 = 0
18 + -28b + 10b2 = 0 + 28b + -28b
18 + -28b + 10b2 = 28b + -28b

Combine like terms: 28b + -28b = 0
18 + -28b + 10b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -14b + 5b2) = 0

Factor a trinomial.
2((1 + -1b)(9 + -5b)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -5b)' equal to zero and attempt to solve: Simplifying 9 + -5b = 0 Solving 9 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5b = 0 + -9 -5b = 0 + -9 Combine like terms: 0 + -9 = -9 -5b = -9 Divide each side by '-5'. b = 1.8 Simplifying b = 1.8

Solution

b = {1, 1.8}

See similar equations:

| 4 = 12v | | 8y+3=3y+8 | | 5=5(y-6) | | -3/2(4x-9)=11 | | tanx=4/18 | | -4n(2n-6)=0 | | 5x^2+240=70x | | y=2x^2-16x+6 | | b^2+13b+3=-3 | | 13/15-5/9 | | 100-28.57142857=x | | -t+-2t=-3 | | 15!/6!5! | | 200=53x | | (4y-1)-(6y+9)= | | 60^3/2^2 | | 26-3v=4v+5 | | 2x^2+4x-33=-3 | | xsquared-6x-15=0 | | -3b/4=12 | | 16x^2-4y^2=64 | | 2(x+3)-6=5x+3 | | -4k^2-8-3=3-5k^2 | | 12v-4=12x | | -4x^2+y^2+16x-12y+16=0 | | (x-4)^(-9/2) | | 2 = z+9-4 | | 12/2=48/m | | 3(3X+9)=9 | | 12y= 4 | | 5+2a=-3a-2a+12 | | 7+x=7.6 |

Equations solver categories