-10=y(6y-17)+2

Simple and best practice solution for -10=y(6y-17)+2 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 -10=y(6y-17)+2 equation: 


Simplifying
-10 = y(6y + -17) + 2

Reorder the terms:
-10 = y(-17 + 6y) + 2
-10 = (-17 * y + 6y * y) + 2
-10 = (-17y + 6y2) + 2

Reorder the terms:
-10 = 2 + -17y + 6y2

Solving
-10 = 2 + -17y + 6y2

Solving for variable 'y'.

Combine like terms: -10 + -2 = -12
-12 + 17y + -6y2 = 2 + -17y + 6y2 + -2 + 17y + -6y2

Reorder the terms:
-12 + 17y + -6y2 = 2 + -2 + -17y + 17y + 6y2 + -6y2

Combine like terms: 2 + -2 = 0
-12 + 17y + -6y2 = 0 + -17y + 17y + 6y2 + -6y2
-12 + 17y + -6y2 = -17y + 17y + 6y2 + -6y2

Combine like terms: -17y + 17y = 0
-12 + 17y + -6y2 = 0 + 6y2 + -6y2
-12 + 17y + -6y2 = 6y2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
-12 + 17y + -6y2 = 0

Factor a trinomial.
(-3 + 2y)(4 + -3y) = 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 '(4 + -3y)' equal to zero and attempt to solve:

Simplifying
4 + -3y = 0

Solving
4 + -3y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = 0 + -4
-3y = 0 + -4

Combine like terms: 0 + -4 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333
Solution
y = {1.5, 1.333333333}

See similar equations:

| 36x^2-39x-12=0 | | (4x-2)+(3x+6)= | | 3x+(-x^2+4)=0 | | ln(x)=51 | | 54+2=44-5 | | 7m-6=-4+8m | | P(x)=2x^4+30x^3-50x^2+36x+14 | | 328=2x+10 | | 4.25n=-46.75 | | 9w-72=5w | | 5c=520 | | 5(3+9)-12= | | 2358=653+2x | | 125+2h=1013 | | 15x-y=336 | | 3+6x-x^3=0 | | log[2](12x+2)=3+log[2](x+2) | | 4+g=7.1 | | 736=4(x+8) | | x-7x+3x-2x= | | -4(3-r)=24 | | 5x+50x=6x | | 6a+7-(4a+3)= | | 2x-37=11 | | 297=x-232 | | 7a+3+(2a-2)= | | 8.9+0.3=r | | 21-2x=18+x | | x-136+528=797 | | ln(5x+1)+ln(x)=ln(4) | | x-15+2x=60 | | 6p-8-15-6p+18=9 |

Equations solver categories