6y^2+12y+13=2y^2+4

Simple and best practice solution for 6y^2+12y+13=2y^2+4 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 6y^2+12y+13=2y^2+4 equation:


Simplifying
6y2 + 12y + 13 = 2y2 + 4

Reorder the terms:
13 + 12y + 6y2 = 2y2 + 4

Reorder the terms:
13 + 12y + 6y2 = 4 + 2y2

Solving
13 + 12y + 6y2 = 4 + 2y2

Solving for variable 'y'.

Reorder the terms:
13 + -4 + 12y + 6y2 + -2y2 = 4 + 2y2 + -4 + -2y2

Combine like terms: 13 + -4 = 9
9 + 12y + 6y2 + -2y2 = 4 + 2y2 + -4 + -2y2

Combine like terms: 6y2 + -2y2 = 4y2
9 + 12y + 4y2 = 4 + 2y2 + -4 + -2y2

Reorder the terms:
9 + 12y + 4y2 = 4 + -4 + 2y2 + -2y2

Combine like terms: 4 + -4 = 0
9 + 12y + 4y2 = 0 + 2y2 + -2y2
9 + 12y + 4y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
9 + 12y + 4y2 = 0

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

Subproblem 1

Set the factor '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5

Subproblem 2

Set the factor '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5

Solution

y = {-1.5, -1.5}

See similar equations:

| -2x^2-19x+35=0 | | -x+5.6=-7.4 | | 6x^2+13x=28 | | 3b^2+9b-30=0 | | 5j+12k=22 | | 2q^2+22q=-60 | | P+5.7=-19.5 | | -108-7x=7x+18 | | 2p*5p= | | 5x+23=13x-57 | | 76-5x=40x+21 | | 2x^2+4x-30=0 | | 280=(2)(5)(4) | | 6v^2-7v=24 | | 4y^2=25 | | 7n=3n+8 | | 2c^2-7c=-5 | | 2x+7=-4x-16 | | 2m-61=73 | | 2x+5=85-6x | | 86-7x=38x+16 | | 11=-2z+8 | | t^2-3t=28 | | 11-10x=77-24x | | 7j+3k=17 | | 2n^2-11n=51 | | 15=3+6x | | x^2+10x+4=10 | | 3x+7=-26-8x | | 5z^2+6z+14=0 | | -4+4a=12 | | 3(x-1)-(4x-5)=2(5x-1)-7 |

Equations solver categories