(4v-2)(7-v)=0

Simple and best practice solution for (4v-2)(7-v)=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 (4v-2)(7-v)=0 equation: 


Simplifying
(4v + -2)(7 + -1v) = 0

Reorder the terms:
(-2 + 4v)(7 + -1v) = 0

Multiply (-2 + 4v) * (7 + -1v)
(-2(7 + -1v) + 4v * (7 + -1v)) = 0
((7 * -2 + -1v * -2) + 4v * (7 + -1v)) = 0
((-14 + 2v) + 4v * (7 + -1v)) = 0
(-14 + 2v + (7 * 4v + -1v * 4v)) = 0
(-14 + 2v + (28v + -4v2)) = 0

Combine like terms: 2v + 28v = 30v
(-14 + 30v + -4v2) = 0

Solving
-14 + 30v + -4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 15v + -2v2) = 0

Factor a trinomial.
2((-7 + v)(1 + -2v)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + v)' equal to zero and attempt to solve:

Simplifying
-7 + v = 0

Solving
-7 + v = 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 + v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + v = 0 + 7
v = 0 + 7

Combine like terms: 0 + 7 = 7
v = 7

Simplifying
v = 7

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

Simplifying
1 + -2v = 0

Solving
1 + -2v = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2v = 0 + -1
-2v = 0 + -1

Combine like terms: 0 + -1 = -1
-2v = -1

Divide each side by '-2'.
v = 0.5

Simplifying
v = 0.5
Solution
v = {7, 0.5}

See similar equations:

| 2x-28=x+52 | | x+(x-1)+(x-2)=78 | | x+33=11x-13 | | 10x+66=x+93 | | 34x=x+99 | | 0=0+(14.57)t-(0.5)(9.8)t^2 | | 9=6x+x+x+1 | | 106=2x-24 | | 8x=12x-52 | | 6x^4+30x^3+36x^2=0 | | x-25/20=9 | | 26-5x=11-10 | | 2p^2+5pq-3q^2=0 | | 3(2x-3)=16 | | 5/3x-x-2/4=9/4-1/2(x-2x-1/3) | | cot^2x=5/8 | | 2x+5=2x-70+x+5 | | 5x+10=3x+15+3x-20 | | 4x+20=x+20+2x+25 | | 2(3z-2)=-34 | | 4x-6=10(x-6) | | 4x-20=x+25+2x-15 | | 2(12y+5)=16 | | 5000=15*12*x/18 | | 5000=15*12*x | | x+y+z=2+z+c | | 1+1=2+54y | | logx=11-x | | 106=4x+2y | | 6a/5=5a/5 | | 4*b-8-b=10*b-3*b | | 4*b-8-1*b=10*b-3*b |

Equations solver categories