(3v^2-7v+5)-(2v^2+3v-7)=

Simple and best practice solution for (3v^2-7v+5)-(2v^2+3v-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 (3v^2-7v+5)-(2v^2+3v-7)= equation:


Simplifying
(3v2 + -7v + 5) + -1(2v2 + 3v + -7) = 0

Reorder the terms:
(5 + -7v + 3v2) + -1(2v2 + 3v + -7) = 0

Remove parenthesis around (5 + -7v + 3v2)
5 + -7v + 3v2 + -1(2v2 + 3v + -7) = 0

Reorder the terms:
5 + -7v + 3v2 + -1(-7 + 3v + 2v2) = 0
5 + -7v + 3v2 + (-7 * -1 + 3v * -1 + 2v2 * -1) = 0
5 + -7v + 3v2 + (7 + -3v + -2v2) = 0

Reorder the terms:
5 + 7 + -7v + -3v + 3v2 + -2v2 = 0

Combine like terms: 5 + 7 = 12
12 + -7v + -3v + 3v2 + -2v2 = 0

Combine like terms: -7v + -3v = -10v
12 + -10v + 3v2 + -2v2 = 0

Combine like terms: 3v2 + -2v2 = 1v2
12 + -10v + 1v2 = 0

Solving
12 + -10v + 1v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -10v + -12 + v2 = 0 + -12

Reorder the terms:
12 + -12 + -10v + v2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -10v + v2 = 0 + -12
-10v + v2 = 0 + -12

Combine like terms: 0 + -12 = -12
-10v + v2 = -12

The v term is -10v.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10v + 25 + v2 = -12 + 25

Reorder the terms:
25 + -10v + v2 = -12 + 25

Combine like terms: -12 + 25 = 13
25 + -10v + v2 = 13

Factor a perfect square on the left side:
(v + -5)(v + -5) = 13

Calculate the square root of the right side: 3.605551275

Break this problem into two subproblems by setting 
(v + -5) equal to 3.605551275 and -3.605551275.

Subproblem 1

v + -5 = 3.605551275 Simplifying v + -5 = 3.605551275 Reorder the terms: -5 + v = 3.605551275 Solving -5 + v = 3.605551275 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + v = 3.605551275 + 5 Combine like terms: -5 + 5 = 0 0 + v = 3.605551275 + 5 v = 3.605551275 + 5 Combine like terms: 3.605551275 + 5 = 8.605551275 v = 8.605551275 Simplifying v = 8.605551275

Subproblem 2

v + -5 = -3.605551275 Simplifying v + -5 = -3.605551275 Reorder the terms: -5 + v = -3.605551275 Solving -5 + v = -3.605551275 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + v = -3.605551275 + 5 Combine like terms: -5 + 5 = 0 0 + v = -3.605551275 + 5 v = -3.605551275 + 5 Combine like terms: -3.605551275 + 5 = 1.394448725 v = 1.394448725 Simplifying v = 1.394448725

Solution

The solution to the problem is based on the solutions from the subproblems. v = {8.605551275, 1.394448725}

See similar equations:

| 9x^2-6x+x=0 | | lne^8x= | | -5(3y-10)+3y=14 | | 3(5-7x)+2(1+4x)(7-5x)= | | 4(5t-7)=15m-6 | | 2x^2+10x-61=0 | | (dy/dx)(tan(5x))= | | 3=2+.0.5x | | 3x+6+x=-2(x-3) | | 306.70(1+x)16=462.46 | | -8x+6=2x | | 5-(6-x)=4(3-2x) | | (-2v+7)(5-3v)= | | 24/64 | | 249.73(1+x)17=545.22 | | -2(3y+1)+5(y+3)=1 | | -10x+5y=4 | | X^4+1=x^4+2x^2+1-2x^2 | | 24/68= | | 2(6)-2x=8 | | 380=m(9.8)(15) | | 3x-6+x=9-x | | 33=21a | | 4x-2(x-3)=-7+4x+5 | | -16t^2+128t=213 | | 1.09x-5(2x-8)=1.43(x+3)-7 | | 3x(5x-4)=8x+2 | | (1/5)*3= | | 6x+7x-84=42-8x | | 24-8z/7=-z | | $50000.00/0.05 | | 12-(n+4)=3n |

Equations solver categories