-5(6y-4)y=-2(y-5)

Simple and best practice solution for -5(6y-4)y=-2(y-5) 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 -5(6y-4)y=-2(y-5) equation: 


Simplifying
-5(6y + -4) * y = -2(y + -5)

Reorder the terms:
-5(-4 + 6y) * y = -2(y + -5)

Reorder the terms for easier multiplication:
-5y(-4 + 6y) = -2(y + -5)
(-4 * -5y + 6y * -5y) = -2(y + -5)
(20y + -30y2) = -2(y + -5)

Reorder the terms:
20y + -30y2 = -2(-5 + y)
20y + -30y2 = (-5 * -2 + y * -2)
20y + -30y2 = (10 + -2y)

Solving
20y + -30y2 = 10 + -2y

Solving for variable 'y'.

Reorder the terms:
-10 + 20y + 2y + -30y2 = 10 + -2y + -10 + 2y

Combine like terms: 20y + 2y = 22y
-10 + 22y + -30y2 = 10 + -2y + -10 + 2y

Reorder the terms:
-10 + 22y + -30y2 = 10 + -10 + -2y + 2y

Combine like terms: 10 + -10 = 0
-10 + 22y + -30y2 = 0 + -2y + 2y
-10 + 22y + -30y2 = -2y + 2y

Combine like terms: -2y + 2y = 0
-10 + 22y + -30y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 11y + -15y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + 11y + -15y2)' equal to zero and attempt to solve:

Simplifying
-5 + 11y + -15y2 = 0

Solving
-5 + 11y + -15y2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.3333333333 + -0.7333333333y + y2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.7333333333y + -0.3333333333 + y2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.7333333333y + y2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.7333333333y + y2 = 0 + -0.3333333333
-0.7333333333y + y2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.7333333333y + y2 = -0.3333333333

The y term is -0.7333333333y.  Take half its coefficient (-0.3666666667).
Square it (0.1344444445) and add it to both sides.

Add '0.1344444445' to each side of the equation.
-0.7333333333y + 0.1344444445 + y2 = -0.3333333333 + 0.1344444445

Reorder the terms:
0.1344444445 + -0.7333333333y + y2 = -0.3333333333 + 0.1344444445

Combine like terms: -0.3333333333 + 0.1344444445 = -0.1988888888
0.1344444445 + -0.7333333333y + y2 = -0.1988888888

Factor a perfect square on the left side:
(y + -0.3666666667)(y + -0.3666666667) = -0.1988888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| y=2(3x-1)-13 | | 7(x-4)2-18=18 | | 12=x-33.25 | | 7m-13-9m=-10 | | F(x)=6x^4+4x^3-x^2-5x-7 | | -30y= | | 7p-9=10 | | y=2(3x-1)+7 | | y-9+3=9y+5 | | 36y=5 | | 3*3+x=4/5(6*7) | | 3n+4=7.3 | | 5p-3=-11+2(p+2) | | .25(28-3t)=14 | | 24a+9= | | 3b+1b+8=4 | | 6(5x-1)=30x-6 | | -3(3p+4)-2(1-14p)=3(5+6p) | | 13=-5x+167 | | 6a+9=12-7(a+4) | | .14(y-7)+.06y=.10y-1.5 | | 18+38=7w | | 4y^7+6y^6-10y^5=0 | | 11+7=a+11 | | 7x^2+23x-17=13-6x | | 2x+9=4-7(x-8) | | 11+7=space+11 | | -14r-(18)=303 | | 15x+2x-40=11 | | 7x^2+29x-4=0 | | 3(1+b)-5b=11-3b | | 4x+3y=-5-x+3y |

Equations solver categories