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

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


Simplifying
2v2 + -7v + -3 = (v + -3)(v + -3)

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

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

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

Multiply (-3 + v) * (-3 + v)
-3 + -7v + 2v2 = (-3(-3 + v) + v(-3 + v))
-3 + -7v + 2v2 = ((-3 * -3 + v * -3) + v(-3 + v))
-3 + -7v + 2v2 = ((9 + -3v) + v(-3 + v))
-3 + -7v + 2v2 = (9 + -3v + (-3 * v + v * v))
-3 + -7v + 2v2 = (9 + -3v + (-3v + v2))

Combine like terms: -3v + -3v = -6v
-3 + -7v + 2v2 = (9 + -6v + v2)

Solving
-3 + -7v + 2v2 = 9 + -6v + v2

Solving for variable 'v'.

Reorder the terms:
-3 + -9 + -7v + 6v + 2v2 + -1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Combine like terms: -3 + -9 = -12
-12 + -7v + 6v + 2v2 + -1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Combine like terms: -7v + 6v = -1v
-12 + -1v + 2v2 + -1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
-12 + -1v + 1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Reorder the terms:
-12 + -1v + 1v2 = 9 + -9 + -6v + 6v + v2 + -1v2

Combine like terms: 9 + -9 = 0
-12 + -1v + 1v2 = 0 + -6v + 6v + v2 + -1v2
-12 + -1v + 1v2 = -6v + 6v + v2 + -1v2

Combine like terms: -6v + 6v = 0
-12 + -1v + 1v2 = 0 + v2 + -1v2
-12 + -1v + 1v2 = v2 + -1v2

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

Factor a trinomial.
(-3 + -1v)(4 + -1v) = 0


Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve:

Simplifying
-3 + -1v = 0

Solving
-3 + -1v = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1v = 0 + 3
-1v = 0 + 3

Combine like terms: 0 + 3 = 3
-1v = 3

Divide each side by '-1'.
v = -3

Simplifying
v = -3

Subproblem 2
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
Solution
v = {-3, 4}

See similar equations:

| (v+5)(v+5)=2v^2+5v+31 | | (u-7)(u-7)=2u^2-6u+61 | | 61x^3-49x=0 | | 28-4y=-3y | | (z+3i+2)(2-i)=z | | 2h-t=8 | | 54=6b/2 | | 10x+11y=93 | | H+3t=-10 | | H+3t=10 | | s*7-34=57 | | 3r-2s=22 | | 4(z-7)(-z-4)=0 | | -3u(u-4)(u+9)=0 | | (5v-2)(4-v)=0 | | (u-1)(u+7)=0 | | p(x)=5x^2+10x+3 | | 9z^4+4=37z^2 | | 5(5x-2)=20-21(y-1) | | (-8L^2)-(4*12*L^2)=0 | | 5x+4x=3x-2x | | x^3-2x^2-kx+12=0 | | (B-2X)*(B-2X)*X=0 | | (x+1)(x-1)=x(4x-3)-1 | | 2+2X+3X=29 | | 4x+4+2x+5x+12=10+x+20+3x | | 5x+9-6x=2 | | 5x+3=19-3x | | 7x+3=3x-19 | | y+6=2(y-5) | | 5+3y=2 | | Log(x)=3.38 |

Equations solver categories