(y-5)(y-2)=28

Simple and best practice solution for (y-5)(y-2)=28 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-5)(y-2)=28 equation: 


Simplifying
(y + -5)(y + -2) = 28

Reorder the terms:
(-5 + y)(y + -2) = 28

Reorder the terms:
(-5 + y)(-2 + y) = 28

Multiply (-5 + y) * (-2 + y)
(-5(-2 + y) + y(-2 + y)) = 28
((-2 * -5 + y * -5) + y(-2 + y)) = 28
((10 + -5y) + y(-2 + y)) = 28
(10 + -5y + (-2 * y + y * y)) = 28
(10 + -5y + (-2y + y2)) = 28

Combine like terms: -5y + -2y = -7y
(10 + -7y + y2) = 28

Solving
10 + -7y + y2 = 28

Solving for variable 'y'.

Reorder the terms:
10 + -28 + -7y + y2 = 28 + -28

Combine like terms: 10 + -28 = -18
-18 + -7y + y2 = 28 + -28

Combine like terms: 28 + -28 = 0
-18 + -7y + y2 = 0

Factor a trinomial.
(-2 + -1y)(9 + -1y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve:

Simplifying
9 + -1y = 0

Solving
9 + -1y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 0 + -9
-1y = 0 + -9

Combine like terms: 0 + -9 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9
Solution
y = {-2, 9}

See similar equations:

| 5(3-4x)=9 | | -5k=3(k-8) | | 16f+27=18f+39 | | 12-324x=16+18x | | 12(t-3)=5(3t+3)-11 | | -2(5s-2)-4=-2(9s+9)-3 | | 4y+3=5y-2 | | 15x-7=12x+2 | | 3(3x-15)=9(x-5) | | 9x-3=4x+7 | | 7+28x=30x+7-2x | | 7g-15=-3g+175 | | 12y+6=(2y+1) | | 12=6-3x | | -3x-4=1 | | 3(x-4)=3x-10 | | 11(t-3)=8t | | 2-15n=5(13n+2) | | 5(2w-7)=6w+13 | | 6x+5=-(x-26) | | 6x+15=-(x-26) | | 8+2s-4=8s+12-5s | | 50+2x=59+1x | | 8x-7=19x+15 | | 50+2x=59+3x | | 4(2x+1)-2x=2x+18 | | 9t^2+2t=5t^3 | | 10x+4=5x+8 | | 12x-70=30x+47 | | 9x-7=0 | | 3x+42=0 | | 12+5v=2v-9 |

Equations solver categories