(13b+8)(5b-15)=0

Simple and best practice solution for (13b+8)(5b-15)=0 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 (13b+8)(5b-15)=0 equation:


Simplifying
(13b + 8)(5b + -15) = 0

Reorder the terms:
(8 + 13b)(5b + -15) = 0

Reorder the terms:
(8 + 13b)(-15 + 5b) = 0

Multiply (8 + 13b) * (-15 + 5b)
(8(-15 + 5b) + 13b * (-15 + 5b)) = 0
((-15 * 8 + 5b * 8) + 13b * (-15 + 5b)) = 0
((-120 + 40b) + 13b * (-15 + 5b)) = 0
(-120 + 40b + (-15 * 13b + 5b * 13b)) = 0
(-120 + 40b + (-195b + 65b2)) = 0

Combine like terms: 40b + -195b = -155b
(-120 + -155b + 65b2) = 0

Solving
-120 + -155b + 65b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-24 + -31b + 13b2) = 0

Factor a trinomial.
5((-8 + -13b)(3 + -1b)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-8 + -13b)' equal to zero and attempt to solve:

Simplifying
-8 + -13b = 0

Solving
-8 + -13b = 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 + -13b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -13b = 0 + 8
-13b = 0 + 8

Combine like terms: 0 + 8 = 8
-13b = 8

Divide each side by '-13'.
b = -0.6153846154

Simplifying
b = -0.6153846154

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 = {-0.6153846154, 3}

See similar equations:

| 3x-12=4+5x | | h=-8t^2+16t | | 3a+3-15=3a-2 | | 3b^2-2=b | | (15b-4)-7(2b+4)=-5 | | (3-w)(5w+9)=0 | | 97+(-88)+(-37)+(-72)= | | 7x=-11x | | -0.375+m=0.25 | | sqrt(9x+9)=sqrt(8x+12) | | x^2-10+5=0 | | -3x=x^2+6x | | -2+(-11)-(-3)= | | 1.5(b+2)2b-9=90 | | X+4+4x=72 | | (5w+4)(2+w)=0 | | 8x+4y+10-2x+10y-6= | | (4-z)(4z+2)=0 | | -33=a-5 | | 20x-21x= | | 9x-35=46 | | 5x+5y+10x+2y+3y= | | f(-6)=9x+8 | | 35y-12y= | | 7-3(-3x+4)=5(8x+4)-8 | | 29y+y-10y= | | 3-(-3)-10-(-7)= | | 8x+64= | | 8p-4q+2p-2q= | | 3x+4(2+x)=4x+5 | | -x^2+20x-98=x | | 4x+44+36y= |

Equations solver categories