(3y-5)(y-2)=0

Simple and best practice solution for (3y-5)(y-2)=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 (3y-5)(y-2)=0 equation:


Simplifying
(3y + -5)(y + -2) = 0

Reorder the terms:
(-5 + 3y)(y + -2) = 0

Reorder the terms:
(-5 + 3y)(-2 + y) = 0

Multiply (-5 + 3y) * (-2 + y)
(-5(-2 + y) + 3y * (-2 + y)) = 0
((-2 * -5 + y * -5) + 3y * (-2 + y)) = 0
((10 + -5y) + 3y * (-2 + y)) = 0
(10 + -5y + (-2 * 3y + y * 3y)) = 0
(10 + -5y + (-6y + 3y2)) = 0

Combine like terms: -5y + -6y = -11y
(10 + -11y + 3y2) = 0

Solving
10 + -11y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -3y)(2 + -1y) = 0

Subproblem 1

Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667

Subproblem 2

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {1.666666667, 2}

See similar equations:

| 1/4-(-4/5)=a | | 3(2)+Y=2 | | 5y^2=8y | | 2=4-2w | | -23-12X=47-7x | | 8n^2-11n-15=0 | | 8+2m=8+5m | | h(2h+8)(4h)=40 | | 3(1)+y=2 | | 3(0)+y=2 | | 2m+69=84-3m | | 21+p-1001=-9412 | | -9f+3f=25 | | 2(3y-4)-5(1-y)= | | 9-3.8f-1.8f= | | 15x+45-2x=15x-2x-10 | | -12a=-20 | | 6x^2+10x+7=0 | | 9-3.8f-1.8f=5.4 | | X^2+4x+4=x^2+6 | | 5x-2=1.5 | | 4y=3x+20 | | x(x-5)=42 | | hi=world | | 3x-14=x+42 | | -18+n=-51.8 | | hi=five | | v=108-36t | | -4(2f+2)=24 | | 9(x-8)=4 | | 5p-5p= | | 4(0+2)=14-2[3-(4*0)] |

Equations solver categories