(2b+5)(5b-2)=0

Simple and best practice solution for (2b+5)(5b-2)=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+5)(5b-2)=0 equation: 


Simplifying
(2b + 5)(5b + -2) = 0

Reorder the terms:
(5 + 2b)(5b + -2) = 0

Reorder the terms:
(5 + 2b)(-2 + 5b) = 0

Multiply (5 + 2b) * (-2 + 5b)
(5(-2 + 5b) + 2b * (-2 + 5b)) = 0
((-2 * 5 + 5b * 5) + 2b * (-2 + 5b)) = 0
((-10 + 25b) + 2b * (-2 + 5b)) = 0
(-10 + 25b + (-2 * 2b + 5b * 2b)) = 0
(-10 + 25b + (-4b + 10b2)) = 0

Combine like terms: 25b + -4b = 21b
(-10 + 21b + 10b2) = 0

Solving
-10 + 21b + 10b2 = 0

Solving for variable 'b'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(2 + -5b)' equal to zero and attempt to solve:

Simplifying
2 + -5b = 0

Solving
2 + -5b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -5b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5b = 0 + -2
-5b = 0 + -2

Combine like terms: 0 + -2 = -2
-5b = -2

Divide each side by '-5'.
b = 0.4

Simplifying
b = 0.4
Solution
b = {-2.5, 0.4}

See similar equations:

| 12+26=-10 | | 17=5k+-2 | | 7x^2+21x+6= | | 3(2c-5)=45 | | 6x-2=16x-82 | | (a+3)(3a-1)=0 | | x-4=-2x | | 20+45/75+150= | | m^2+mu+5m+5u= | | (2x-1)(3x+2)=0 | | 3x^2+29x-44=0 | | 57(5)-95(3)= | | 6x^2-48x+36=0 | | (5-c)(c+2)(c-8)=0 | | 50(5)+2(8)= | | 2n+11=-17 | | 50(0)+2(10)= | | 2b(b-5)(b+7)=0 | | 50(25)+2(0)= | | x(x+3)(x-3)=0 | | 50(10)+2(0)= | | (u-1)(u-u)(u-5)=0 | | X^5-5x^3+21=1 | | X^5-5x^5+21=1 | | 16t+4t=20 | | (s-4)(s+4)=0 | | (r+4)(r-1)=0 | | -10y+18=-3y(5y-7)-8 | | 2(x-1)+-4x=x+(-8) | | 13-7x=26-14x | | -105-8x=8x+23 | | (k-5)(k-10)=0 |

Equations solver categories