v^2-4v-10=0

Simple and best practice solution for v^2-4v-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 v^2-4v-10=0 equation:


Simplifying
v2 + -4v + -10 = 0

Reorder the terms:
-10 + -4v + v2 = 0

Solving
-10 + -4v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + -4v + 10 + v2 = 0 + 10

Reorder the terms:
-10 + 10 + -4v + v2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -4v + v2 = 0 + 10
-4v + v2 = 0 + 10

Combine like terms: 0 + 10 = 10
-4v + v2 = 10

The v term is -4v.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4v + 4 + v2 = 10 + 4

Reorder the terms:
4 + -4v + v2 = 10 + 4

Combine like terms: 10 + 4 = 14
4 + -4v + v2 = 14

Factor a perfect square on the left side:
(v + -2)(v + -2) = 14

Calculate the square root of the right side: 3.741657387

Break this problem into two subproblems by setting 
(v + -2) equal to 3.741657387 and -3.741657387.

Subproblem 1

v + -2 = 3.741657387 Simplifying v + -2 = 3.741657387 Reorder the terms: -2 + v = 3.741657387 Solving -2 + v = 3.741657387 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + v = 3.741657387 + 2 Combine like terms: -2 + 2 = 0 0 + v = 3.741657387 + 2 v = 3.741657387 + 2 Combine like terms: 3.741657387 + 2 = 5.741657387 v = 5.741657387 Simplifying v = 5.741657387

Subproblem 2

v + -2 = -3.741657387 Simplifying v + -2 = -3.741657387 Reorder the terms: -2 + v = -3.741657387 Solving -2 + v = -3.741657387 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + v = -3.741657387 + 2 Combine like terms: -2 + 2 = 0 0 + v = -3.741657387 + 2 v = -3.741657387 + 2 Combine like terms: -3.741657387 + 2 = -1.741657387 v = -1.741657387 Simplifying v = -1.741657387

Solution

The solution to the problem is based on the solutions from the subproblems. v = {5.741657387, -1.741657387}

See similar equations:

| 2(7+5x)=74 | | -4(5x+4)=144 | | 6x+4x+7=27 | | -6(2x+1)=-126 | | -12y=18-4x | | -2(-7+6x)=-82 | | x+2=x-6 | | 2x-11=5(2x+1) | | 2y-2=3y-6 | | 6(2x-3)=90 | | -4=4(x+2) | | 21=3(2x+1)+6 | | 4z^2+5z= | | a(3a-4)-3a(a-7)= | | -6x-38=-3x+7 | | 4(2x+3)+6=4x+14 | | 4n^2+4n-17=0 | | 4e-3=-3 | | 7(-6-4x)=154 | | 2(2x+1)+7=-4x-47 | | 6.52=5y | | 3x^2y^3-12x^2y+6xy=0 | | 4(-2-2x)=-96 | | 7w=22.4 | | 14y=3x+7 | | 3(5-2x)=-39 | | 6i*x= | | 46=3(4x-5)+1 | | -5(1x+1)=50 | | 4x=7y+14 | | x^2=ROT-1 | | -3(4h-k)+(5h-2k)= |

Equations solver categories