2(8r^2+r)-4=

Simple and best practice solution for 2(8r^2+r)-4= 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 2(8r^2+r)-4= equation: 


Simplifying
2(8r2 + r) + -4 = 0

Reorder the terms:
2(r + 8r2) + -4 = 0
(r * 2 + 8r2 * 2) + -4 = 0
(2r + 16r2) + -4 = 0

Reorder the terms:
-4 + 2r + 16r2 = 0

Solving
-4 + 2r + 16r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + r + 8r2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + r + 8r2)' equal to zero and attempt to solve:

Simplifying
-2 + r + 8r2 = 0

Solving
-2 + r + 8r2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
-0.25 + 0.125r + r2 = 0

Move the constant term to the right:

Add '0.25' to each side of the equation.
-0.25 + 0.125r + 0.25 + r2 = 0 + 0.25

Reorder the terms:
-0.25 + 0.25 + 0.125r + r2 = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 0.125r + r2 = 0 + 0.25
0.125r + r2 = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
0.125r + r2 = 0.25

The r term is r.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.125r + 0.25 + r2 = 0.25 + 0.25

Reorder the terms:
0.25 + 0.125r + r2 = 0.25 + 0.25

Combine like terms: 0.25 + 0.25 = 0.5
0.25 + 0.125r + r2 = 0.5

Factor a perfect square on the left side:
(r + 0.5)(r + 0.5) = 0.5

Calculate the square root of the right side: 0.707106781

Break this problem into two subproblems by setting 
(r + 0.5) equal to 0.707106781 and -0.707106781.


Subproblem 1
r + 0.5 = 0.707106781

Simplifying
r + 0.5 = 0.707106781

Reorder the terms:
0.5 + r = 0.707106781

Solving
0.5 + r = 0.707106781

Solving for variable 'r'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + r = 0.707106781 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + r = 0.707106781 + -0.5
r = 0.707106781 + -0.5

Combine like terms: 0.707106781 + -0.5 = 0.207106781
r = 0.207106781

Simplifying
r = 0.207106781


Subproblem 2
r + 0.5 = -0.707106781

Simplifying
r + 0.5 = -0.707106781

Reorder the terms:
0.5 + r = -0.707106781

Solving
0.5 + r = -0.707106781

Solving for variable 'r'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + r = -0.707106781 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + r = -0.707106781 + -0.5
r = -0.707106781 + -0.5

Combine like terms: -0.707106781 + -0.5 = -1.207106781
r = -1.207106781

Simplifying
r = -1.207106781


Solution
The solution to the problem is based on the solutions
from the subproblems.
r = {0.207106781, -1.207106781}
Solution
r = {0.207106781, -1.207106781}

See similar equations:

| 68=x-32 | | 3(M+.5)=2.1 | | -5x+48=43 | | X+[x+1]=63 | | 3x+9=-2x+27 | | 2x^2-30+112=0 | | Log7/25 | | .33k=3 | | 5x+12=-28-5x | | n^2+14n+40=-8 | | 48+x=5.5 | | 4*3x+2*7x=48 | | X+15+x+39=180 | | 8x-6=5x+8 | | X^2+23x=-11.25 | | 3d-13=8 | | x(900-4x)/(3) | | 900=324+h^2 | | y^2+5y+7=0 | | -3x-4=9 | | w+11-3=3 | | -3x^3+15x^2+18x=0 | | w+11-3= 3 | | h(t)=-16t^2+110+2 | | 35+15(h)=95 | | 24-3y=-12 | | 4x+12=-x+24 | | 9v+v=10 | | ln(x^2-7x+12)=5 | | 78=5y+13 | | 15n^2-24n-9=0 | | n+n+8+6=2n |

Equations solver categories