8b^2=14b+15

Simple and best practice solution for 8b^2=14b+15 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 8b^2=14b+15 equation:


Simplifying
8b2 = 14b + 15

Reorder the terms:
8b2 = 15 + 14b

Solving
8b2 = 15 + 14b

Solving for variable 'b'.

Reorder the terms:
-15 + -14b + 8b2 = 15 + 14b + -15 + -14b

Reorder the terms:
-15 + -14b + 8b2 = 15 + -15 + 14b + -14b

Combine like terms: 15 + -15 = 0
-15 + -14b + 8b2 = 0 + 14b + -14b
-15 + -14b + 8b2 = 14b + -14b

Combine like terms: 14b + -14b = 0
-15 + -14b + 8b2 = 0

Factor a trinomial.
(-3 + -4b)(5 + -2b) = 0

Subproblem 1

Set the factor '(-3 + -4b)' equal to zero and attempt to solve: Simplifying -3 + -4b = 0 Solving -3 + -4b = 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 + -4b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4b = 0 + 3 -4b = 0 + 3 Combine like terms: 0 + 3 = 3 -4b = 3 Divide each side by '-4'. b = -0.75 Simplifying b = -0.75

Subproblem 2

Set the factor '(5 + -2b)' equal to zero and attempt to solve: Simplifying 5 + -2b = 0 Solving 5 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2b = 0 + -5 -2b = 0 + -5 Combine like terms: 0 + -5 = -5 -2b = -5 Divide each side by '-2'. b = 2.5 Simplifying b = 2.5

Solution

b = {-0.75, 2.5}

See similar equations:

| 9x^2-3x-12=0 | | 64a^2-81b^2=0 | | p^2-11p+18=0 | | 2x^2+10+9=1 | | 3a-2=130 | | 8y(y-4)=0 | | 128-w=275 | | (n+3)(n-7)=0 | | M-9=-13+9 | | K=4a+9ab | | mx^2-5x-(m-1)=0 | | 4y+6=2y | | x^5-5x^4+5x^3+1=0 | | 12r^2+9rs+20rs+15s^2= | | y+12=z | | 3m^2+30m^6+30m^4= | | 6x-11y-9y+5x+2= | | -3(k+1)-k-12=-4(k+5)+5 | | 9k^2+3=777 | | b(5px-3c)=a(ax-4) | | 2k^2-5=9k | | (2x-y)-(3x+2y)= | | 25b^2+4=5 | | .5c-10=-4 | | (A+B)(A-B)=(A+B)(A+B) | | 5(3x-4)=6x+7 | | 7a-1=5a+11 | | 2x+7=71 | | -3x=-y+1 | | [2(7.7-7)+0.6]= | | n^2=-10n-16 | | 7p+25=4p+28 |

Equations solver categories