y(y-3)=4(3-y)

Simple and best practice solution for y(y-3)=4(3-y) 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 y(y-3)=4(3-y) equation:


Simplifying
y(y + -3) = 4(3 + -1y)

Reorder the terms:
y(-3 + y) = 4(3 + -1y)
(-3 * y + y * y) = 4(3 + -1y)
(-3y + y2) = 4(3 + -1y)
-3y + y2 = (3 * 4 + -1y * 4)
-3y + y2 = (12 + -4y)

Solving
-3y + y2 = 12 + -4y

Solving for variable 'y'.

Reorder the terms:
-12 + -3y + 4y + y2 = 12 + -4y + -12 + 4y

Combine like terms: -3y + 4y = 1y
-12 + 1y + y2 = 12 + -4y + -12 + 4y

Reorder the terms:
-12 + 1y + y2 = 12 + -12 + -4y + 4y

Combine like terms: 12 + -12 = 0
-12 + 1y + y2 = 0 + -4y + 4y
-12 + 1y + y2 = -4y + 4y

Combine like terms: -4y + 4y = 0
-12 + 1y + y2 = 0

Factor a trinomial.
(-4 + -1y)(3 + -1y) = 0

Subproblem 1

Set the factor '(-4 + -1y)' equal to zero and attempt to solve: Simplifying -4 + -1y = 0 Solving -4 + -1y = 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 + -1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1y = 0 + 4 -1y = 0 + 4 Combine like terms: 0 + 4 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4

Subproblem 2

Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3

Solution

y = {-4, 3}

See similar equations:

| 10x-5=16x | | 2y^4+11y^2-30= | | 7v-17=9(v-1) | | 5x-2=14x-72 | | 5x-2=13x-72 | | 4p+5p-20+7p+22-p= | | 5*7/x=x | | 5y-11=5 | | 6+9=-3 | | 4sin^2(2x)-8cos^2(2x)+2=0 | | 2o-12=2o+36 | | 4x^2-20x-29=0 | | P+7=p-2 | | 4(y+3)=3y-12 | | 4x^4=25x^2-6 | | a+6b+2a-3b+2a+3b-5a-4b= | | 8x-15=3x+6 | | z/7-2=2 | | 11x=3x-12 | | 5/10=7/x | | 5x+4y-3x-2y= | | 2p+3q-5p-7+12= | | 4x^2=25x^2-6 | | 3s=-39 | | 3(4x-5)=-7 | | 4x^4-x^2-1=0 | | 110=2x^2+14x+24 | | -1*-n= | | -1x-n= | | -1-n= | | 28+x=-12(8x) | | 2x^2+0.5x=0 |

Equations solver categories