2y^2-21-7y=y^2-3y

Simple and best practice solution for 2y^2-21-7y=y^2-3y 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 2y^2-21-7y=y^2-3y equation: 


Simplifying
2y2 + -21 + -7y = y2 + -3y

Reorder the terms:
-21 + -7y + 2y2 = y2 + -3y

Reorder the terms:
-21 + -7y + 2y2 = -3y + y2

Solving
-21 + -7y + 2y2 = -3y + y2

Solving for variable 'y'.

Reorder the terms:
-21 + -7y + 3y + 2y2 + -1y2 = -3y + y2 + 3y + -1y2

Combine like terms: -7y + 3y = -4y
-21 + -4y + 2y2 + -1y2 = -3y + y2 + 3y + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
-21 + -4y + 1y2 = -3y + y2 + 3y + -1y2

Reorder the terms:
-21 + -4y + 1y2 = -3y + 3y + y2 + -1y2

Combine like terms: -3y + 3y = 0
-21 + -4y + 1y2 = 0 + y2 + -1y2
-21 + -4y + 1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-21 + -4y + 1y2 = 0

Factor a trinomial.
(-3 + -1y)(7 + -1y) = 0


Subproblem 1
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

Subproblem 2
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
Solution
y = {-3, 7}

See similar equations:

| -(3y+4)-(-2y-5)=-4 | | -5(7n-5)+3n= | | P=2(62)+2(82) | | 40x+6y=16 | | a^2-5a-14=0 | | P=2(77)+2(123) | | 104-12t=152 | | 6x+3=12+12x | | 14x^2-25x=25 | | 36=18x-12x+6 | | 6d-12-d=9d+53+d | | 8(3x-4)=2(12x+7) | | 3+5y-2=4y+28-2y | | c+8=20 | | 9c=2z | | J+5(J-1)=13 | | -4x+9=41 | | 4x-3(12-2x)=9 | | 8r+15r=184 | | 8(4x-3)=4(8x+4) | | 3x+1=25-x | | -7.2x=36 | | 12(3x-3)=3(12x+9) | | 15t=-66 | | x+(24+x)+(-35+3*x)=984 | | 9s=-63 | | -4(4b+3)+(17b-4)=0 | | 2.1q-2.7-5.4q=-4.3q-5.8 | | 9+18t-4=8t+149-6t | | 36.9=3.7b-(14.9) | | 11x+9-5=10x-3 | | x+(30+x)+(-40+2*x)=526 |

Equations solver categories