(y-9)(y-5)+(2y-7)(y-1)=y(2y-18)+136

Simple and best practice solution for (y-9)(y-5)+(2y-7)(y-1)=y(2y-18)+136 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-9)(y-5)+(2y-7)(y-1)=y(2y-18)+136 equation:


Simplifying
(y + -9)(y + -5) + (2y + -7)(y + -1) = y(2y + -18) + 136

Reorder the terms:
(-9 + y)(y + -5) + (2y + -7)(y + -1) = y(2y + -18) + 136

Reorder the terms:
(-9 + y)(-5 + y) + (2y + -7)(y + -1) = y(2y + -18) + 136

Multiply (-9 + y) * (-5 + y)
(-9(-5 + y) + y(-5 + y)) + (2y + -7)(y + -1) = y(2y + -18) + 136
((-5 * -9 + y * -9) + y(-5 + y)) + (2y + -7)(y + -1) = y(2y + -18) + 136
((45 + -9y) + y(-5 + y)) + (2y + -7)(y + -1) = y(2y + -18) + 136
(45 + -9y + (-5 * y + y * y)) + (2y + -7)(y + -1) = y(2y + -18) + 136
(45 + -9y + (-5y + y2)) + (2y + -7)(y + -1) = y(2y + -18) + 136

Combine like terms: -9y + -5y = -14y
(45 + -14y + y2) + (2y + -7)(y + -1) = y(2y + -18) + 136

Reorder the terms:
45 + -14y + y2 + (-7 + 2y)(y + -1) = y(2y + -18) + 136

Reorder the terms:
45 + -14y + y2 + (-7 + 2y)(-1 + y) = y(2y + -18) + 136

Multiply (-7 + 2y) * (-1 + y)
45 + -14y + y2 + (-7(-1 + y) + 2y * (-1 + y)) = y(2y + -18) + 136
45 + -14y + y2 + ((-1 * -7 + y * -7) + 2y * (-1 + y)) = y(2y + -18) + 136
45 + -14y + y2 + ((7 + -7y) + 2y * (-1 + y)) = y(2y + -18) + 136
45 + -14y + y2 + (7 + -7y + (-1 * 2y + y * 2y)) = y(2y + -18) + 136
45 + -14y + y2 + (7 + -7y + (-2y + 2y2)) = y(2y + -18) + 136

Combine like terms: -7y + -2y = -9y
45 + -14y + y2 + (7 + -9y + 2y2) = y(2y + -18) + 136

Reorder the terms:
45 + 7 + -14y + -9y + y2 + 2y2 = y(2y + -18) + 136

Combine like terms: 45 + 7 = 52
52 + -14y + -9y + y2 + 2y2 = y(2y + -18) + 136

Combine like terms: -14y + -9y = -23y
52 + -23y + y2 + 2y2 = y(2y + -18) + 136

Combine like terms: y2 + 2y2 = 3y2
52 + -23y + 3y2 = y(2y + -18) + 136

Reorder the terms:
52 + -23y + 3y2 = y(-18 + 2y) + 136
52 + -23y + 3y2 = (-18 * y + 2y * y) + 136
52 + -23y + 3y2 = (-18y + 2y2) + 136

Reorder the terms:
52 + -23y + 3y2 = 136 + -18y + 2y2

Solving
52 + -23y + 3y2 = 136 + -18y + 2y2

Solving for variable 'y'.

Reorder the terms:
52 + -136 + -23y + 18y + 3y2 + -2y2 = 136 + -18y + 2y2 + -136 + 18y + -2y2

Combine like terms: 52 + -136 = -84
-84 + -23y + 18y + 3y2 + -2y2 = 136 + -18y + 2y2 + -136 + 18y + -2y2

Combine like terms: -23y + 18y = -5y
-84 + -5y + 3y2 + -2y2 = 136 + -18y + 2y2 + -136 + 18y + -2y2

Combine like terms: 3y2 + -2y2 = 1y2
-84 + -5y + 1y2 = 136 + -18y + 2y2 + -136 + 18y + -2y2

Reorder the terms:
-84 + -5y + 1y2 = 136 + -136 + -18y + 18y + 2y2 + -2y2

Combine like terms: 136 + -136 = 0
-84 + -5y + 1y2 = 0 + -18y + 18y + 2y2 + -2y2
-84 + -5y + 1y2 = -18y + 18y + 2y2 + -2y2

Combine like terms: -18y + 18y = 0
-84 + -5y + 1y2 = 0 + 2y2 + -2y2
-84 + -5y + 1y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-84 + -5y + 1y2 = 0

Factor a trinomial.
(-7 + -1y)(12 + -1y) = 0

Subproblem 1

Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7

Subproblem 2

Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12

Solution

y = {-7, 12}

See similar equations:

| 17j-3j-13j+j=2 | | 71-x=5 | | -47-(-28)= | | x+9.69=-43.01 | | 3.7y=3.9y+16.8 | | 14x^2+27x-20=0 | | -2(z+4)=30 | | x/3-x/6=1 | | 1500/p=600-20p | | 38-38= | | 41.53x+25.26=192 | | 4r-4r+r=6 | | 18+3(A+4)=48 | | 11x+8x=21 | | 2n+29=90 | | 15c-13c=18 | | 2.59/70 | | y-40=150 | | 0.5(5x+-0.71)=-0.8 | | 2(3y+8)=46 | | -2x^2+x+28=0 | | 1-7n-7n=1 | | 2y+10+3y=25 | | 2(4x+9)+-(x+7)=36 | | 4+3(6x-10)=26 | | 4/0.01 | | 5(8x+7)-3x=-52 | | ln(y-1)=x+lny | | 2m+3m-24=1 | | x/7=1/3 | | 4(4x+10)=91 | | 7=5x+13y |

Equations solver categories