2y^2-60y-46=0

Simple and best practice solution for 2y^2-60y-46=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^2-60y-46=0 equation: 


Simplifying
2y2 + -60y + -46 = 0

Reorder the terms:
-46 + -60y + 2y2 = 0

Solving
-46 + -60y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-23 + -30y + y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-23 + -30y + y2)' equal to zero and attempt to solve:

Simplifying
-23 + -30y + y2 = 0

Solving
-23 + -30y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '23' to each side of the equation.
-23 + -30y + 23 + y2 = 0 + 23

Reorder the terms:
-23 + 23 + -30y + y2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -30y + y2 = 0 + 23
-30y + y2 = 0 + 23

Combine like terms: 0 + 23 = 23
-30y + y2 = 23

The y term is -30y.  Take half its coefficient (-15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
-30y + 225 + y2 = 23 + 225

Reorder the terms:
225 + -30y + y2 = 23 + 225

Combine like terms: 23 + 225 = 248
225 + -30y + y2 = 248

Factor a perfect square on the left side:
(y + -15)(y + -15) = 248

Calculate the square root of the right side: 15.748015748

Break this problem into two subproblems by setting 
(y + -15) equal to 15.748015748 and -15.748015748.


Subproblem 1
y + -15 = 15.748015748

Simplifying
y + -15 = 15.748015748

Reorder the terms:
-15 + y = 15.748015748

Solving
-15 + y = 15.748015748

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + y = 15.748015748 + 15

Combine like terms: -15 + 15 = 0
0 + y = 15.748015748 + 15
y = 15.748015748 + 15

Combine like terms: 15.748015748 + 15 = 30.748015748
y = 30.748015748

Simplifying
y = 30.748015748


Subproblem 2
y + -15 = -15.748015748

Simplifying
y + -15 = -15.748015748

Reorder the terms:
-15 + y = -15.748015748

Solving
-15 + y = -15.748015748

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + y = -15.748015748 + 15

Combine like terms: -15 + 15 = 0
0 + y = -15.748015748 + 15
y = -15.748015748 + 15

Combine like terms: -15.748015748 + 15 = -0.748015748
y = -0.748015748

Simplifying
y = -0.748015748


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {30.748015748, -0.748015748}
Solution
y = {30.748015748, -0.748015748}

See similar equations:

| 7b*12=4.2 | | -1-y=2/5x | | x^2-22x+35=0 | | x^2=x/3 | | 8x+67=116 | | 3X+2Y-5=85 | | 2x-2t=-12 | | Y/11=8/13 | | ln((x^7sqrt(x-1)/3x-18)) | | 9x-54x=81 | | z-31=-9 | | -2r^2+32r+42=0 | | 170+z=300 | | 4(1-8d)=-22 | | 18p+7=45 | | z+6=43 | | 8v^2+18vb-5b^2=0 | | 5x/9-1/45=1/45 | | X=0.2X+52200 | | -2/5=1/3x-1/2 | | 44-x=5 | | 4+x-(3+2x)=-x-3(5-2) | | 5*(x-2)=12 | | 9f-16=2 | | -2y-6=-x | | 1+4(6p-9)=6p-36 | | 9x^5+35x^3-4x=0 | | 4/3x(3.14)x216 | | 1+4(6p-9)=24p-36 | | 260=10h | | 1+4(6p-9)=24p-35 | | -120-(-130)= |

Equations solver categories