2v^2+9v-10=(v+2)(v+2)

Simple and best practice solution for 2v^2+9v-10=(v+2)(v+2) 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+9v-10=(v+2)(v+2) equation: 


Simplifying
2v2 + 9v + -10 = (v + 2)(v + 2)

Reorder the terms:
-10 + 9v + 2v2 = (v + 2)(v + 2)

Reorder the terms:
-10 + 9v + 2v2 = (2 + v)(v + 2)

Reorder the terms:
-10 + 9v + 2v2 = (2 + v)(2 + v)

Multiply (2 + v) * (2 + v)
-10 + 9v + 2v2 = (2(2 + v) + v(2 + v))
-10 + 9v + 2v2 = ((2 * 2 + v * 2) + v(2 + v))
-10 + 9v + 2v2 = ((4 + 2v) + v(2 + v))
-10 + 9v + 2v2 = (4 + 2v + (2 * v + v * v))
-10 + 9v + 2v2 = (4 + 2v + (2v + v2))

Combine like terms: 2v + 2v = 4v
-10 + 9v + 2v2 = (4 + 4v + v2)

Solving
-10 + 9v + 2v2 = 4 + 4v + v2

Solving for variable 'v'.

Reorder the terms:
-10 + -4 + 9v + -4v + 2v2 + -1v2 = 4 + 4v + v2 + -4 + -4v + -1v2

Combine like terms: -10 + -4 = -14
-14 + 9v + -4v + 2v2 + -1v2 = 4 + 4v + v2 + -4 + -4v + -1v2

Combine like terms: 9v + -4v = 5v
-14 + 5v + 2v2 + -1v2 = 4 + 4v + v2 + -4 + -4v + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
-14 + 5v + 1v2 = 4 + 4v + v2 + -4 + -4v + -1v2

Reorder the terms:
-14 + 5v + 1v2 = 4 + -4 + 4v + -4v + v2 + -1v2

Combine like terms: 4 + -4 = 0
-14 + 5v + 1v2 = 0 + 4v + -4v + v2 + -1v2
-14 + 5v + 1v2 = 4v + -4v + v2 + -1v2

Combine like terms: 4v + -4v = 0
-14 + 5v + 1v2 = 0 + v2 + -1v2
-14 + 5v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
-14 + 5v + 1v2 = 0

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


Subproblem 1
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

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

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

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

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

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {-7, 2}

See similar equations:

| 7c^2-21c+14=0 | | 4z-16=2+2 | | 2(w-20)=-16 | | 2x^2+23x+67=(x+7)(x+7) | | p^2-16pq+63q^2=0 | | 2x^2+23x+67=0 | | 3d+9e+7d+7e= | | 3x-2=7x-6 | | 3(2n-1)+7n= | | 7+2b=2(4b+7)+5 | | 3.(x+2)=15-2x | | 2a^2+15=11a | | -5k+24=49 | | 3(x+2)=15-2x | | sqrt(16x)-sqrt(9y)=1 | | 4x-6=x+7 | | 8h-15=1 | | 2016x^3-x^2+2x-3=0 | | -.5(32)*x^2+160x=336 | | 4r+10=22 | | 7=1-g/-2 | | 3x-15+4x=7 | | 5k^2-13k=-8 | | i*z+2*z+1-i=0 | | 9y^2+6y+4=0 | | 3(3c-1)-16=7c+3 | | 1/4(7680) | | x+15+x+15+x+x=x+45+x+40+x+25 | | 7/6*x/42 | | 7x+35=2x+140 | | (-28x^12y^5)^1/2 | | 0=(x-2) |

Equations solver categories