3y(2y+5)=6y+15

Simple and best practice solution for 3y(2y+5)=6y+15 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 3y(2y+5)=6y+15 equation: 


Simplifying
3y(2y + 5) = 6y + 15

Reorder the terms:
3y(5 + 2y) = 6y + 15
(5 * 3y + 2y * 3y) = 6y + 15
(15y + 6y2) = 6y + 15

Reorder the terms:
15y + 6y2 = 15 + 6y

Solving
15y + 6y2 = 15 + 6y

Solving for variable 'y'.

Reorder the terms:
-15 + 15y + -6y + 6y2 = 15 + 6y + -15 + -6y

Combine like terms: 15y + -6y = 9y
-15 + 9y + 6y2 = 15 + 6y + -15 + -6y

Reorder the terms:
-15 + 9y + 6y2 = 15 + -15 + 6y + -6y

Combine like terms: 15 + -15 = 0
-15 + 9y + 6y2 = 0 + 6y + -6y
-15 + 9y + 6y2 = 6y + -6y

Combine like terms: 6y + -6y = 0
-15 + 9y + 6y2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 3y + 2y2) = 0

Factor a trinomial.
3((-5 + -2y)(1 + -1y)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -2y)' equal to zero and attempt to solve:

Simplifying
-5 + -2y = 0

Solving
-5 + -2y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2y = 0 + 5
-2y = 0 + 5

Combine like terms: 0 + 5 = 5
-2y = 5

Divide each side by '-2'.
y = -2.5

Simplifying
y = -2.5

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

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

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

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

Simplifying
y = 1
Solution
y = {-2.5, 1}

See similar equations:

| 3.25x+2=180 | | 5h-h+9=4h-9 | | 3n^2+7=-12 | | 2(2y-3)=-14 | | 3k-9=2K+12 | | y+56=73 | | 3-5(2x+1)=8 | | 4x^4+16x^2-8=0 | | 2x-4x+x=3x-9+5 | | n-30+30=10+30 | | z=(2+5i)(-4+2i+z) | | 6x^2=246 | | z=(2+5i)(-4+2+z) | | c+6+3c+5=13 | | x^4-4x^3+4x^2-10=0 | | 11/15​​=w−​8/15 | | 19b=130 | | 6x+12-7x=-5 | | 6x^3=246 | | 6(4x+3)-20+2(x+9)=10(x-2)+12x | | 9.7/-0.5 | | k+12=37 | | 26=3(6)+8 | | 26=3(6)+7 | | 9+1-5=-8 | | 26=3(6)+3 | | k-7=16 | | 14+x-13=-6 | | 3(2m+3)-4m=-3 | | (x+10)(x+20)=180 | | 8b^2+8b+2=0 | | .5x-8=x+1 |

Equations solver categories