(v+7)(v+7)=2v^2+9v+53

Simple and best practice solution for (v+7)(v+7)=2v^2+9v+53 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 (v+7)(v+7)=2v^2+9v+53 equation: 


Simplifying
(v + 7)(v + 7) = 2v2 + 9v + 53

Reorder the terms:
(7 + v)(v + 7) = 2v2 + 9v + 53

Reorder the terms:
(7 + v)(7 + v) = 2v2 + 9v + 53

Multiply (7 + v) * (7 + v)
(7(7 + v) + v(7 + v)) = 2v2 + 9v + 53
((7 * 7 + v * 7) + v(7 + v)) = 2v2 + 9v + 53
((49 + 7v) + v(7 + v)) = 2v2 + 9v + 53
(49 + 7v + (7 * v + v * v)) = 2v2 + 9v + 53
(49 + 7v + (7v + v2)) = 2v2 + 9v + 53

Combine like terms: 7v + 7v = 14v
(49 + 14v + v2) = 2v2 + 9v + 53

Reorder the terms:
49 + 14v + v2 = 53 + 9v + 2v2

Solving
49 + 14v + v2 = 53 + 9v + 2v2

Solving for variable 'v'.

Reorder the terms:
49 + -53 + 14v + -9v + v2 + -2v2 = 53 + 9v + 2v2 + -53 + -9v + -2v2

Combine like terms: 49 + -53 = -4
-4 + 14v + -9v + v2 + -2v2 = 53 + 9v + 2v2 + -53 + -9v + -2v2

Combine like terms: 14v + -9v = 5v
-4 + 5v + v2 + -2v2 = 53 + 9v + 2v2 + -53 + -9v + -2v2

Combine like terms: v2 + -2v2 = -1v2
-4 + 5v + -1v2 = 53 + 9v + 2v2 + -53 + -9v + -2v2

Reorder the terms:
-4 + 5v + -1v2 = 53 + -53 + 9v + -9v + 2v2 + -2v2

Combine like terms: 53 + -53 = 0
-4 + 5v + -1v2 = 0 + 9v + -9v + 2v2 + -2v2
-4 + 5v + -1v2 = 9v + -9v + 2v2 + -2v2

Combine like terms: 9v + -9v = 0
-4 + 5v + -1v2 = 0 + 2v2 + -2v2
-4 + 5v + -1v2 = 2v2 + -2v2

Combine like terms: 2v2 + -2v2 = 0
-4 + 5v + -1v2 = 0

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


Subproblem 1
Set the factor '(-4 + v)' equal to zero and attempt to solve:

Simplifying
-4 + v = 0

Solving
-4 + v = 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 + v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + v = 0 + 4
v = 0 + 4

Combine like terms: 0 + 4 = 4
v = 4

Simplifying
v = 4

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

Simplifying
1 + -1v = 0

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

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

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

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

Simplifying
v = 1
Solution
v = {4, 1}

See similar equations:

| -(3-1)=4(3)-5-3(3) | | 2y+12=7 | | -105=-7(8x-1) | | -4x=4x^2-x | | 6x+99=-62-x | | 0=28x-2.6x^3 | | 17.5=2n+3.6 | | -7(-7r-6)+3(1-8r)=-5 | | 9+10=2 | | -89=-1+2(5-7x) | | 2x+2x+36=120 | | -64-5x=26 | | 36=(2x-2)(x-2)(x-1) | | 2y+8.4=0.4 | | y+26=4y+2 | | cos^8x-cos^4x=0 | | --7=5 | | x^2+12x-102=0 | | -89=-6(3x+5)-5 | | 4x-2(7x-13)=136 | | 5+3e^2x=17 | | n/-2=9 | | 2u^2-4u-14=0 | | (ab+9)(ab-9)= | | (5x^2)+2x+6=0 | | -5z-5=20 | | 4a-4=8+9 | | -191-5x=7x+61 | | 3x+6(25)=210 | | 336=-7(1+7x) | | 11=-5x+2 | | 2x+40-5x=1-9x+3 |

Equations solver categories