7v^2-27v-18=0

Simple and best practice solution for 7v^2-27v-18=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 7v^2-27v-18=0 equation: 


Simplifying
7v2 + -27v + -18 = 0

Reorder the terms:
-18 + -27v + 7v2 = 0

Solving
-18 + -27v + 7v2 = 0

Solving for variable 'v'.

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

Divide each side by '7'.
-2.571428571 + -3.857142857v + v2 = 0

Move the constant term to the right:

Add '2.571428571' to each side of the equation.
-2.571428571 + -3.857142857v + 2.571428571 + v2 = 0 + 2.571428571

Reorder the terms:
-2.571428571 + 2.571428571 + -3.857142857v + v2 = 0 + 2.571428571

Combine like terms: -2.571428571 + 2.571428571 = 0.000000000
0.000000000 + -3.857142857v + v2 = 0 + 2.571428571
-3.857142857v + v2 = 0 + 2.571428571

Combine like terms: 0 + 2.571428571 = 2.571428571
-3.857142857v + v2 = 2.571428571

The v term is -3.857142857v.  Take half its coefficient (-1.928571429).
Square it (3.719387757) and add it to both sides.

Add '3.719387757' to each side of the equation.
-3.857142857v + 3.719387757 + v2 = 2.571428571 + 3.719387757

Reorder the terms:
3.719387757 + -3.857142857v + v2 = 2.571428571 + 3.719387757

Combine like terms: 2.571428571 + 3.719387757 = 6.290816328
3.719387757 + -3.857142857v + v2 = 6.290816328

Factor a perfect square on the left side:
(v + -1.928571429)(v + -1.928571429) = 6.290816328

Calculate the square root of the right side: 2.508149981

Break this problem into two subproblems by setting 
(v + -1.928571429) equal to 2.508149981 and -2.508149981.


Subproblem 1
v + -1.928571429 = 2.508149981

Simplifying
v + -1.928571429 = 2.508149981

Reorder the terms:
-1.928571429 + v = 2.508149981

Solving
-1.928571429 + v = 2.508149981

Solving for variable 'v'.

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

Add '1.928571429' to each side of the equation.
-1.928571429 + 1.928571429 + v = 2.508149981 + 1.928571429

Combine like terms: -1.928571429 + 1.928571429 = 0.000000000
0.000000000 + v = 2.508149981 + 1.928571429
v = 2.508149981 + 1.928571429

Combine like terms: 2.508149981 + 1.928571429 = 4.43672141
v = 4.43672141

Simplifying
v = 4.43672141


Subproblem 2
v + -1.928571429 = -2.508149981

Simplifying
v + -1.928571429 = -2.508149981

Reorder the terms:
-1.928571429 + v = -2.508149981

Solving
-1.928571429 + v = -2.508149981

Solving for variable 'v'.

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

Add '1.928571429' to each side of the equation.
-1.928571429 + 1.928571429 + v = -2.508149981 + 1.928571429

Combine like terms: -1.928571429 + 1.928571429 = 0.000000000
0.000000000 + v = -2.508149981 + 1.928571429
v = -2.508149981 + 1.928571429

Combine like terms: -2.508149981 + 1.928571429 = -0.579578552
v = -0.579578552

Simplifying
v = -0.579578552


Solution
The solution to the problem is based on the solutions
from the subproblems.
v = {4.43672141, -0.579578552}

See similar equations:

| 7a^2+17a+6=0 | | 6-2(5-2x)=1-x | | 5/x-6= | | -8y^2+3y+675=0 | | 4sin^2(9y)=x+y | | y=7*sin(x) | | 2x+8-x=9+2x-5 | | a-15=23 | | 3(35t+10)=15(3t+14) | | 0.74x=14 | | (y-3)-(y+9)=4y | | 5y-2x=23 | | 3(0)=-x+9 | | 4-2n+2=10 | | a=6.2831rh | | 4x-9x+17=3x+33 | | 5(x-5)=4x | | X=-16x^2+50x | | (15y^2)(5y^2)^-2/y | | Y=-16x^2+50x | | Y=-16x+50x | | Z/7-4=8 | | -9=5n+4-3 | | P(1-p)=0.2244 | | 116x=3/4 | | xsquared-6x-1=0 | | 2x-4+10=15+x | | hbt=6.2831 | | -9x^2+7x=0 | | 1x+1=1 | | 340/35 | | .40/35 |

Equations solver categories