(2b-7)(2b+13)=0

Simple and best practice solution for (2b-7)(2b+13)=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 (2b-7)(2b+13)=0 equation:


Simplifying
(2b + -7)(2b + 13) = 0

Reorder the terms:
(-7 + 2b)(2b + 13) = 0

Reorder the terms:
(-7 + 2b)(13 + 2b) = 0

Multiply (-7 + 2b) * (13 + 2b)
(-7(13 + 2b) + 2b * (13 + 2b)) = 0
((13 * -7 + 2b * -7) + 2b * (13 + 2b)) = 0
((-91 + -14b) + 2b * (13 + 2b)) = 0
(-91 + -14b + (13 * 2b + 2b * 2b)) = 0
(-91 + -14b + (26b + 4b2)) = 0

Combine like terms: -14b + 26b = 12b
(-91 + 12b + 4b2) = 0

Solving
-91 + 12b + 4b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-13 + -2b)(7 + -2b) = 0

Subproblem 1

Set the factor '(-13 + -2b)' equal to zero and attempt to solve: Simplifying -13 + -2b = 0 Solving -13 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2b = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2b = 0 + 13 -2b = 0 + 13 Combine like terms: 0 + 13 = 13 -2b = 13 Divide each side by '-2'. b = -6.5 Simplifying b = -6.5

Subproblem 2

Set the factor '(7 + -2b)' equal to zero and attempt to solve: Simplifying 7 + -2b = 0 Solving 7 + -2b = 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 + -2b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2b = 0 + -7 -2b = 0 + -7 Combine like terms: 0 + -7 = -7 -2b = -7 Divide each side by '-2'. b = 3.5 Simplifying b = 3.5

Solution

b = {-6.5, 3.5}

See similar equations:

| .83(9+2x)=40 | | x(5x+3)+1=7(x-3) | | 14x+10=8x-38 | | -4(-2x+8)-5x=7(x-4)-2 | | 5(3x-1)-12x+9= | | 13(4x+27)=13(-18x-10) | | 5y^2-45=0 | | 10x-20x^2=0 | | 4x^2+2x=2 | | -3(5x-4)+7x=8+2(5x-6) | | -2(u+5)=4u-8+2(6u+4) | | 6(2x-3)-2(6x+1)=10x | | O(7)=2n-1 | | 7(u+2)=-2(5u-1)+3u | | -2(-2x+4)-7x=7(x-3)-5 | | 7x^3-6x^2+5x+6=0 | | 3x-4=2x+2x+8 | | 5u-22=2(u-8) | | 3(y-6)=5y-26 | | 2-k=k-8 | | 9x-2=5(x+2) | | 4*(x-5)=-12 | | 3(l-7)+4(8-21)-7=-4(1+2)-6 | | 35=-5w+2(w+7) | | 7x+19=109-3x | | 6x+12=4-18 | | 28=5(x-7)+2x | | 6(v+2)-3v=-15 | | x-1-6x= | | 17x^2+9.3x-7=0 | | 8*t=8 | | y=25-4x^2 |

Equations solver categories