2b^2+10b+10=0

Simple and best practice solution for 2b^2+10b+10=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^2+10b+10=0 equation: 


Simplifying
2b2 + 10b + 10 = 0

Reorder the terms:
10 + 10b + 2b2 = 0

Solving
10 + 10b + 2b2 = 0

Solving for variable 'b'.

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

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 5b + b2)' equal to zero and attempt to solve:

Simplifying
5 + 5b + b2 = 0

Solving
5 + 5b + b2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 5b + -5 + b2 = 0 + -5

Reorder the terms:
5 + -5 + 5b + b2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 5b + b2 = 0 + -5
5b + b2 = 0 + -5

Combine like terms: 0 + -5 = -5
5b + b2 = -5

The b term is 5b.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5b + 6.25 + b2 = -5 + 6.25

Reorder the terms:
6.25 + 5b + b2 = -5 + 6.25

Combine like terms: -5 + 6.25 = 1.25
6.25 + 5b + b2 = 1.25

Factor a perfect square on the left side:
(b + 2.5)(b + 2.5) = 1.25

Calculate the square root of the right side: 1.118033989

Break this problem into two subproblems by setting 
(b + 2.5) equal to 1.118033989 and -1.118033989.


Subproblem 1
b + 2.5 = 1.118033989

Simplifying
b + 2.5 = 1.118033989

Reorder the terms:
2.5 + b = 1.118033989

Solving
2.5 + b = 1.118033989

Solving for variable 'b'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + b = 1.118033989 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + b = 1.118033989 + -2.5
b = 1.118033989 + -2.5

Combine like terms: 1.118033989 + -2.5 = -1.381966011
b = -1.381966011

Simplifying
b = -1.381966011


Subproblem 2
b + 2.5 = -1.118033989

Simplifying
b + 2.5 = -1.118033989

Reorder the terms:
2.5 + b = -1.118033989

Solving
2.5 + b = -1.118033989

Solving for variable 'b'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + b = -1.118033989 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + b = -1.118033989 + -2.5
b = -1.118033989 + -2.5

Combine like terms: -1.118033989 + -2.5 = -3.618033989
b = -3.618033989

Simplifying
b = -3.618033989


Solution
The solution to the problem is based on the solutions
from the subproblems.
b = {-1.381966011, -3.618033989}
Solution
b = {-1.381966011, -3.618033989}

See similar equations:

| 8b^2-10b=-3 | | 6a^2-7a=-7 | | 2*4x+3-5x=1 | | 12(x+1)-3(-5x-8)= | | 4(y+3)=62 | | 23+44+14+32=223findbase | | -6(3x+1)+11(-2x+7)= | | -7(x+2)+28=21 | | x-0.85x=12600 | | 4(x+6)-2(3x+8)=12 | | -10(1-9x)+6(y-10)= | | _=d/360 | | 56+(-12)+(-9)= | | 23+(-72+86)+(-98)= | | 16-(-30)= | | 16-(30)= | | (-11)+20= | | 5-2a=11 | | 76-(-34)= | | (-27)-27= | | (-25)-8= | | X^27=19 | | 3(x+4)-2x=6 | | (-10)+(-12)+20= | | 14+(-30)+16= | | (-23+18)+(-23)= | | (-9)+(13)= | | (1+x^2)dy=(1+y^2)dx | | [(116-(-93)-34)]= | | 9k+8k= | | [1-(-3)]-25= | | [(15-3)]-(-7)= |

Equations solver categories