5y+15=(y-3)(y+3)

Simple and best practice solution for 5y+15=(y-3)(y+3) 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 5y+15=(y-3)(y+3) equation: 


Simplifying
5y + 15 = (y + -3)(y + 3)

Reorder the terms:
15 + 5y = (y + -3)(y + 3)

Reorder the terms:
15 + 5y = (-3 + y)(y + 3)

Reorder the terms:
15 + 5y = (-3 + y)(3 + y)

Multiply (-3 + y) * (3 + y)
15 + 5y = (-3(3 + y) + y(3 + y))
15 + 5y = ((3 * -3 + y * -3) + y(3 + y))
15 + 5y = ((-9 + -3y) + y(3 + y))
15 + 5y = (-9 + -3y + (3 * y + y * y))
15 + 5y = (-9 + -3y + (3y + y2))

Combine like terms: -3y + 3y = 0
15 + 5y = (-9 + 0 + y2)
15 + 5y = (-9 + y2)

Solving
15 + 5y = -9 + y2

Solving for variable 'y'.

Reorder the terms:
15 + 9 + 5y + -1y2 = -9 + y2 + 9 + -1y2

Combine like terms: 15 + 9 = 24
24 + 5y + -1y2 = -9 + y2 + 9 + -1y2

Reorder the terms:
24 + 5y + -1y2 = -9 + 9 + y2 + -1y2

Combine like terms: -9 + 9 = 0
24 + 5y + -1y2 = 0 + y2 + -1y2
24 + 5y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
24 + 5y + -1y2 = 0

Factor a trinomial.
(8 + -1y)(3 + y) = 0


Subproblem 1
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 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 + y = 0 + -3

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

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

Simplifying
y = -3
Solution
y = {8, -3}

See similar equations:

| 2/5*(X-5)=9 | | 50/20 | | 2/10=2=0 | | x+0.06x=2650 | | x+0.06=2650 | | -2cubed+5x-10=x+10 | | -5*1+16= | | 4(x+2)+3=24x+3 | | 4(x-4)-16=-35 | | 7/10*x-3=9 | | (x/5)-1=(3x/2) | | x/5-1=3x/2 | | 2.5+x=7.3 | | 206=18-10 | | 1200/500=x | | (16y4-81)/(2y-3) | | 15(z+8)= | | 7/8=1/4x | | 50+c+90=180 | | 5-x/x-5 | | (X-3)(X+1)=-4 | | (2+3i)(3x^4-11x^3+35x^2+21x-26)=0 | | 3x^4-11x^3=0 | | y+0.4=1 | | d-15=0 | | X^2=16-64 | | b-12=20 | | 3211x=19 | | 1/k^7 | | a-20=8 | | u-12=5 | | 195=10(x-65)+45 |

Equations solver categories