8v^2-224=24v

Simple and best practice solution for 8v^2-224=24v 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 8v^2-224=24v equation:


Simplifying
8v2 + -224 = 24v

Reorder the terms:
-224 + 8v2 = 24v

Solving
-224 + 8v2 = 24v

Solving for variable 'v'.

Reorder the terms:
-224 + -24v + 8v2 = 24v + -24v

Combine like terms: 24v + -24v = 0
-224 + -24v + 8v2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-28 + -3v + v2) = 0

Factor a trinomial.
8((-4 + -1v)(7 + -1v)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4

Subproblem 2

Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7

Solution

v = {-4, 7}

See similar equations:

| 5x+9=3x-37 | | 14x=24x-20 | | 60+6y=36x-12 | | p^2+24p+23=0 | | 55(2b)+3(8b-9)= | | 88=3+5v | | 8*X^2=36 | | 60+6y=36x | | 324-54-1= | | (248832)^1/5= | | -3y+11=8y+51 | | (248832)^1/5 | | 2d^2-6d=0 | | y=1000(3.21) | | 25=9+8x | | -2*-9= | | -21=2v-7 | | y=1070?3 | | y=1070? | | 2w-20=7w | | y=1000(1.07) | | 3(x+5)=2(x-4) | | v+6=4 | | -y=15,7 | | 10x^2-60x+100=0 | | P(-3)=-7x-5 | | n^2=-5-6n | | (2p)8x=128 | | 8+r=5 | | 0=-x^2-28-11x | | 36=32x+16 | | 4x^2-81y^6= |

Equations solver categories