2y^2+4y-12=0

Simple and best practice solution for 2y^2+4y-12=0 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 2y^2+4y-12=0 equation: 


Simplifying
2y2 + 4y + -12 = 0

Reorder the terms:
-12 + 4y + 2y2 = 0

Solving
-12 + 4y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 2y + y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6 + 2y + y2)' equal to zero and attempt to solve:

Simplifying
-6 + 2y + y2 = 0

Solving
-6 + 2y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + 2y + 6 + y2 = 0 + 6

Reorder the terms:
-6 + 6 + 2y + y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 2y + y2 = 0 + 6
2y + y2 = 0 + 6

Combine like terms: 0 + 6 = 6
2y + y2 = 6

The y term is 2y.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2y + 1 + y2 = 6 + 1

Reorder the terms:
1 + 2y + y2 = 6 + 1

Combine like terms: 6 + 1 = 7
1 + 2y + y2 = 7

Factor a perfect square on the left side:
(y + 1)(y + 1) = 7

Calculate the square root of the right side: 2.645751311

Break this problem into two subproblems by setting 
(y + 1) equal to 2.645751311 and -2.645751311.


Subproblem 1
y + 1 = 2.645751311

Simplifying
y + 1 = 2.645751311

Reorder the terms:
1 + y = 2.645751311

Solving
1 + y = 2.645751311

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + y = 2.645751311 + -1

Combine like terms: 1 + -1 = 0
0 + y = 2.645751311 + -1
y = 2.645751311 + -1

Combine like terms: 2.645751311 + -1 = 1.645751311
y = 1.645751311

Simplifying
y = 1.645751311


Subproblem 2
y + 1 = -2.645751311

Simplifying
y + 1 = -2.645751311

Reorder the terms:
1 + y = -2.645751311

Solving
1 + y = -2.645751311

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + y = -2.645751311 + -1

Combine like terms: 1 + -1 = 0
0 + y = -2.645751311 + -1
y = -2.645751311 + -1

Combine like terms: -2.645751311 + -1 = -3.645751311
y = -3.645751311

Simplifying
y = -3.645751311


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {1.645751311, -3.645751311}
Solution
y = {1.645751311, -3.645751311}

See similar equations:

| 2y^2+4-12=0 | | x^2-3x-8=2 | | x^4y^2-4x^3y^2-12x^2y^2=0 | | 2x-6/3=6 | | 4x^2+8x+8=0 | | 3+5n=8n+6 | | h=-19+33x | | -4=v-10 | | h=-18+32x-1+x | | x^2-10x-92=0 | | 3t-7=21-t | | -6g=-7 | | -3/5u=6 | | 2x/9=-8 | | -4+6p=4 | | 49=-7/3y | | 3x^2+13x-3=0 | | -9/4=-3u | | -4/5u=8 | | 4+5x=0 | | A=(21)(3.14)(m)(m) | | 24x^2-281x-84=0 | | 24x^2+281x-84=0 | | 24x^2+274x-84=0 | | 3y+6-10=89 | | -22=-6+4x | | (t-5)/3(t-5)/3=49 | | 2-(120/x^2)=0 | | 2-(120/x^2) | | h+2=4/1/2 | | 3+ln(8x)=21-2ln(x) | | (X+3)(X-5)=16 |

Equations solver categories