5v(v-6)=4v+7

Simple and best practice solution for 5v(v-6)=4v+7 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(v-6)=4v+7 equation: 


Simplifying
5v(v + -6) = 4v + 7

Reorder the terms:
5v(-6 + v) = 4v + 7
(-6 * 5v + v * 5v) = 4v + 7
(-30v + 5v2) = 4v + 7

Reorder the terms:
-30v + 5v2 = 7 + 4v

Solving
-30v + 5v2 = 7 + 4v

Solving for variable 'v'.

Reorder the terms:
-7 + -30v + -4v + 5v2 = 7 + 4v + -7 + -4v

Combine like terms: -30v + -4v = -34v
-7 + -34v + 5v2 = 7 + 4v + -7 + -4v

Reorder the terms:
-7 + -34v + 5v2 = 7 + -7 + 4v + -4v

Combine like terms: 7 + -7 = 0
-7 + -34v + 5v2 = 0 + 4v + -4v
-7 + -34v + 5v2 = 4v + -4v

Combine like terms: 4v + -4v = 0
-7 + -34v + 5v2 = 0

Factor a trinomial.
(-1 + -5v)(7 + -1v) = 0


Subproblem 1
Set the factor '(-1 + -5v)' equal to zero and attempt to solve:

Simplifying
-1 + -5v = 0

Solving
-1 + -5v = 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 + -5v = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5v = 0 + 1
-5v = 0 + 1

Combine like terms: 0 + 1 = 1
-5v = 1

Divide each side by '-5'.
v = -0.2

Simplifying
v = -0.2

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 = {-0.2, 7}

See similar equations:

| 5.6+1.8n=1.64 | | x^2+17x+60=5x+10 | | 4x+16=90 | | v^2-v-72= | | -4x-6=54 | | 3x+4=90 | | X^2+y^2+10x-6y+18=0 | | 3(a+b+5)= | | 2.5(b-4)=3.5b-6b | | t^2-3t-54= | | (a+6)2=49 | | -8y+3=15-2y | | s^2+18s+81= | | -2(b-2)-5(2b+3)=12 | | s^2-8s+16= | | 0.5x=2.9 | | 15x^2-5y^2=30 | | 5(p-9q)= | | 3x/5-8=-x | | 9x^2-4y+18x+16y-43=0 | | 5X-28+5X+18=180 | | -4(t-5)+6t=7t-3 | | 2(x-3)=1-3x | | 9X-1+7X-107=180 | | 24w-30w+9=36w+44 | | (x^2)/(3x-15)/(x^2+2x+1)/(6x-30) | | x^2+4y+6x-8y+9=0 | | x^4(x+9)+8(x+9)= | | 19-6t=-11 | | 5X+31+8X+46=90 | | a^2+4a=32 | | 2x^2-4=x+12 |

Equations solver categories