5y^2+20y=2y-3y^2-7

Simple and best practice solution for 5y^2+20y=2y-3y^2-7 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 5y^2+20y=2y-3y^2-7 equation: 


Simplifying
5y2 + 20y = 2y + -3y2 + -7

Reorder the terms:
20y + 5y2 = 2y + -3y2 + -7

Reorder the terms:
20y + 5y2 = -7 + 2y + -3y2

Solving
20y + 5y2 = -7 + 2y + -3y2

Solving for variable 'y'.

Reorder the terms:
7 + 20y + -2y + 5y2 + 3y2 = -7 + 2y + -3y2 + 7 + -2y + 3y2

Combine like terms: 20y + -2y = 18y
7 + 18y + 5y2 + 3y2 = -7 + 2y + -3y2 + 7 + -2y + 3y2

Combine like terms: 5y2 + 3y2 = 8y2
7 + 18y + 8y2 = -7 + 2y + -3y2 + 7 + -2y + 3y2

Reorder the terms:
7 + 18y + 8y2 = -7 + 7 + 2y + -2y + -3y2 + 3y2

Combine like terms: -7 + 7 = 0
7 + 18y + 8y2 = 0 + 2y + -2y + -3y2 + 3y2
7 + 18y + 8y2 = 2y + -2y + -3y2 + 3y2

Combine like terms: 2y + -2y = 0
7 + 18y + 8y2 = 0 + -3y2 + 3y2
7 + 18y + 8y2 = -3y2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
7 + 18y + 8y2 = 0

Factor a trinomial.
(7 + 4y)(1 + 2y) = 0


Subproblem 1
Set the factor '(7 + 4y)' equal to zero and attempt to solve:

Simplifying
7 + 4y = 0

Solving
7 + 4y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = 0 + -7
4y = 0 + -7

Combine like terms: 0 + -7 = -7
4y = -7

Divide each side by '4'.
y = -1.75

Simplifying
y = -1.75

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

Simplifying
1 + 2y = 0

Solving
1 + 2y = 0

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

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

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

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

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5
Solution
y = {-1.75, -0.5}

See similar equations:

| 2d=7/3 | | 7c-10c+8c-1c-1c= | | -×/5=100 | | 4x-2(x-3)=-2+4x-8 | | -2(5x-4)+1=10x+9 | | j.387=7 | | 28x^6-12x^5/4x^2 | | -.25*40-20= | | 5ab-3ab+(9ab-6ab)+7ab= | | -2k^3+4k^2-4k=0.000001 | | 13r-9r+4r-6r=14 | | 4x=(-x)+30 | | -2k^3+4k^2-4k=0 | | 32-x/2=8 | | sin(40)=X/18 | | 4p+2d=27.5 | | 2.5y^2+6y-8=0 | | -5.6(x-4.5)=22.4 | | 179=-59-10x | | 2n-8=34 | | 2y+y-2y-y+y=18 | | 4n-10=66 | | 4(y-z)/k | | 2n-9=39 | | 7m+3m-5m+4m-m=16 | | 5(an)2+6(ab)2-4(ab)2+3(ab)2= | | 3(x+4)-2+5x=6x-14 | | h=4n | | 3n-12=30 | | 2u+3u+4u-8u=20 | | x/-3=-70 | | K^2+2kf+f^2=0 |

Equations solver categories