3y^2+4y+12=2(-3y+7)+5y

Simple and best practice solution for 3y^2+4y+12=2(-3y+7)+5y 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^2+4y+12=2(-3y+7)+5y equation: 


Simplifying
3y2 + 4y + 12 = 2(-3y + 7) + 5y

Reorder the terms:
12 + 4y + 3y2 = 2(-3y + 7) + 5y

Reorder the terms:
12 + 4y + 3y2 = 2(7 + -3y) + 5y
12 + 4y + 3y2 = (7 * 2 + -3y * 2) + 5y
12 + 4y + 3y2 = (14 + -6y) + 5y

Combine like terms: -6y + 5y = -1y
12 + 4y + 3y2 = 14 + -1y

Solving
12 + 4y + 3y2 = 14 + -1y

Solving for variable 'y'.

Reorder the terms:
12 + -14 + 4y + y + 3y2 = 14 + -1y + -14 + y

Combine like terms: 12 + -14 = -2
-2 + 4y + y + 3y2 = 14 + -1y + -14 + y

Combine like terms: 4y + y = 5y
-2 + 5y + 3y2 = 14 + -1y + -14 + y

Reorder the terms:
-2 + 5y + 3y2 = 14 + -14 + -1y + y

Combine like terms: 14 + -14 = 0
-2 + 5y + 3y2 = 0 + -1y + y
-2 + 5y + 3y2 = -1y + y

Combine like terms: -1y + y = 0
-2 + 5y + 3y2 = 0

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


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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 0

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

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

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

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

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

Simplifying
y = -2

Subproblem 2
Set the factor '(1 + -3y)' equal to zero and attempt to solve:

Simplifying
1 + -3y = 0

Solving
1 + -3y = 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 + -3y = 0 + -1

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

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

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Solution
y = {-2, 0.3333333333}

See similar equations:

| x^2-5x-2.5=0 | | 5p^2-150p=0 | | 8a^2-32a=0 | | 9.58/100=3x | | 5y^2-24y+30=0 | | 6xy-40x-60y+400=x | | 15+(x+11)=2-2x | | xsquared+5=0 | | (15-5x)/(9-x^2) | | pq^5*p^9/p^2q | | 7m^3-8n-8m^3= | | 4/5=x/8 | | 9/7=5/x | | 10/3=x/8 | | -x+y-z=-2 | | 3*x^2+6*x+16=0 | | 100=4x+9y | | b*2=b | | 29-2x=8-9x | | Y(h+b)=g | | 10+7h=38 | | X^2-5x-36=36 | | 13(7/6) | | 2bk+z=3b | | pbk-f=a+b | | 4*sin*2acos^2*0.5a= | | -2x-3=-4+x | | -5+6y+2-2y= | | 4x-2+x=-12-3x | | -5+7y+4-4y= | | x+x^2=54 | | -3x-2y+z=4 |

Equations solver categories