5v^2-30v=40

Simple and best practice solution for 5v^2-30v=40 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 5v^2-30v=40 equation:


Simplifying
5v2 + -30v = 40

Reorder the terms:
-30v + 5v2 = 40

Solving
-30v + 5v2 = 40

Solving for variable 'v'.

Reorder the terms:
-40 + -30v + 5v2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + -30v + 5v2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + -6v + v2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-8 + -6v + v2)' equal to zero and attempt to solve: Simplifying -8 + -6v + v2 = 0 Solving -8 + -6v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '8' to each side of the equation. -8 + -6v + 8 + v2 = 0 + 8 Reorder the terms: -8 + 8 + -6v + v2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -6v + v2 = 0 + 8 -6v + v2 = 0 + 8 Combine like terms: 0 + 8 = 8 -6v + v2 = 8 The v term is -6v. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6v + 9 + v2 = 8 + 9 Reorder the terms: 9 + -6v + v2 = 8 + 9 Combine like terms: 8 + 9 = 17 9 + -6v + v2 = 17 Factor a perfect square on the left side: (v + -3)(v + -3) = 17 Calculate the square root of the right side: 4.123105626 Break this problem into two subproblems by setting (v + -3) equal to 4.123105626 and -4.123105626.

Subproblem 1

v + -3 = 4.123105626 Simplifying v + -3 = 4.123105626 Reorder the terms: -3 + v = 4.123105626 Solving -3 + v = 4.123105626 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + v = 4.123105626 + 3 Combine like terms: -3 + 3 = 0 0 + v = 4.123105626 + 3 v = 4.123105626 + 3 Combine like terms: 4.123105626 + 3 = 7.123105626 v = 7.123105626 Simplifying v = 7.123105626

Subproblem 2

v + -3 = -4.123105626 Simplifying v + -3 = -4.123105626 Reorder the terms: -3 + v = -4.123105626 Solving -3 + v = -4.123105626 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + v = -4.123105626 + 3 Combine like terms: -3 + 3 = 0 0 + v = -4.123105626 + 3 v = -4.123105626 + 3 Combine like terms: -4.123105626 + 3 = -1.123105626 v = -1.123105626 Simplifying v = -1.123105626

Solution

The solution to the problem is based on the solutions from the subproblems. v = {7.123105626, -1.123105626}

Solution

v = {7.123105626, -1.123105626}

See similar equations:

| 3y=12x-45 | | p^2+11p=10 | | 6x+4x(-20)=550 | | -4(x+4)=-24 | | x+24=-8x | | a^2-a=90 | | 4y+7=3y-8 | | 729m^4-576m^2=0 | | 2k^2+22k=60 | | -10+0.25s=5 | | -17+n*5=33 | | 5n^2+10n=20 | | -y=-2y-x | | 5(x-7)=85 | | 4y=8x-40 | | 2n^2+6n=8 | | 20x-8y=24 | | 1089r^2-900=0 | | -10+0.25s=-5 | | 1.75x+2=.25+.25x | | n^2+6n=8 | | -5+w*3=-1 | | x= (5-1)2+(1-4)2 | | 9a-6a-a-14= | | b^2-6b=8 | | 196+448x+256x^2=0 | | -2.1=-18 | | -3(x-1)=27 | | 8x-(6x+9)=5x-24 | | -10+0.25s=0 | | -4(4y+4)-1=-8(y+4)+4y | | -3=-19+d*5 |

Equations solver categories