(5y^2)-12y-340=0

Simple and best practice solution for (5y^2)-12y-340=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 (5y^2)-12y-340=0 equation:


Simplifying
(5y2) + -12y + -340 = 0

Reorder the terms:
-340 + -12y + (5y2) = 0

Solving
-340 + -12y + (5y2) = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
-68 + -2.4y + y2 = 0

Move the constant term to the right:

Add '68' to each side of the equation.
-68 + -2.4y + 68 + y2 = 0 + 68

Reorder the terms:
-68 + 68 + -2.4y + y2 = 0 + 68

Combine like terms: -68 + 68 = 0
0 + -2.4y + y2 = 0 + 68
-2.4y + y2 = 0 + 68

Combine like terms: 0 + 68 = 68
-2.4y + y2 = 68

The y term is -2.4y.  Take half its coefficient (-1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
-2.4y + 1.44 + y2 = 68 + 1.44

Reorder the terms:
1.44 + -2.4y + y2 = 68 + 1.44

Combine like terms: 68 + 1.44 = 69.44
1.44 + -2.4y + y2 = 69.44

Factor a perfect square on the left side:
((y) + -1.2)((y) + -1.2) = 69.44

Calculate the square root of the right side: 8.333066662

Break this problem into two subproblems by setting 
((y) + -1.2) equal to 8.333066662 and -8.333066662.

Subproblem 1

(y) + -1.2 = 8.333066662 Simplifying (y) + -1.2 = 8.333066662 y + -1.2 = 8.333066662 Reorder the terms: -1.2 + y = 8.333066662 Solving -1.2 + y = 8.333066662 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + y = 8.333066662 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + y = 8.333066662 + 1.2 y = 8.333066662 + 1.2 Combine like terms: 8.333066662 + 1.2 = 9.533066662 y = 9.533066662 Simplifying y = 9.533066662

Subproblem 2

(y) + -1.2 = -8.333066662 Simplifying (y) + -1.2 = -8.333066662 y + -1.2 = -8.333066662 Reorder the terms: -1.2 + y = -8.333066662 Solving -1.2 + y = -8.333066662 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + y = -8.333066662 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + y = -8.333066662 + 1.2 y = -8.333066662 + 1.2 Combine like terms: -8.333066662 + 1.2 = -7.133066662 y = -7.133066662 Simplifying y = -7.133066662

Solution

The solution to the problem is based on the solutions from the subproblems. y = {9.533066662, -7.133066662}

See similar equations:

| x-0.5=0.25 | | 6x^2-30x+55=0 | | -9=4w+3 | | -y=-1(-2x+1) | | y=1(-2x-4) | | (n-7)(n-7)=2n | | 56.4*x^30=90 | | X^2-4x+42=13 | | (2m+3n)=(4m+6n) | | -1x+(-11)+1x+5=0 | | 2x^2-6xy-7x+21y= | | 18x-2y=-4 | | 4x-13+2x=4+6x-16 | | y=-1(-x-5) | | 5x^2+15x-2x-6=0 | | 45=t^2-t | | y=1(-x-11) | | 8cos^2(6x)-2=0 | | 12(14+n)+5(-2n-9)=18 | | (2x^2-5x+2)(3x^2-4x+1)=0 | | 3680=-10x^2+285x+2700 | | 6x-6y-x+6y=0 | | 44=4x^2-48x+184 | | x^2+x=960 | | y=-2(x-100)+240 | | 60=4x^2-44x+172 | | 6x-6y-x+6y=-36 | | 3x^2-6xy-5x+10y= | | (x+5)(x+1)=3 | | Y=-.5x^2+4x-8 | | 2logx-log(10x-250)-1=0 | | 4y-y+6y=15 |

Equations solver categories