y^2-3y+15=4y+5

Simple and best practice solution for y^2-3y+15=4y+5 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^2-3y+15=4y+5 equation: 


Simplifying
y2 + -3y + 15 = 4y + 5

Reorder the terms:
15 + -3y + y2 = 4y + 5

Reorder the terms:
15 + -3y + y2 = 5 + 4y

Solving
15 + -3y + y2 = 5 + 4y

Solving for variable 'y'.

Reorder the terms:
15 + -5 + -3y + -4y + y2 = 5 + 4y + -5 + -4y

Combine like terms: 15 + -5 = 10
10 + -3y + -4y + y2 = 5 + 4y + -5 + -4y

Combine like terms: -3y + -4y = -7y
10 + -7y + y2 = 5 + 4y + -5 + -4y

Reorder the terms:
10 + -7y + y2 = 5 + -5 + 4y + -4y

Combine like terms: 5 + -5 = 0
10 + -7y + y2 = 0 + 4y + -4y
10 + -7y + y2 = 4y + -4y

Combine like terms: 4y + -4y = 0
10 + -7y + y2 = 0

Factor a trinomial.
(2 + -1y)(5 + -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 '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

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

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

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {2, 5}

See similar equations:

| 12(y^2)-7y+1=0 | | (2x-3)(3-x)=0 | | 4(x^2)-8x+3=0 | | 4y+25=6y-45 | | 6x-1=5-x-3 | | 4x-17=-4x+23 | | 4(y^2)-17y+18=0 | | 2x-4=3x-1 | | 4(x^2)-11x+6=0 | | 3(p+4)-2(4p-1)=2 | | 8x+20-6=3x | | 3x-26=-5x | | (4x+2)+x=72 | | 4(x+4)-2(x-4)=4(x+6)+5x | | 2x+10=x+20+6 | | 15-3(x-1)=7 | | 67+x=235 | | 2s^2+11s+9=-5 | | 29-8p=-7(-8p+5) | | -39+3B=6(-4B+7) | | 2m+40=-7(-8m+2) | | 8a+5b=2000 | | -7n+7(4-8n)=28-2n | | -8(2-2x)-4x=-28+8x | | w^2-14w+x=0 | | 11=1-3r-2r | | 10y+7y-2y=45 | | 8x+7-6=3x | | 3=4r-5r | | 8x+12=2x+168 | | 5y+3w= | | -8y+25=71 |

Equations solver categories