(y-3)(y-3)=2y^2+4y+30

Simple and best practice solution for (y-3)(y-3)=2y^2+4y+30 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-3)(y-3)=2y^2+4y+30 equation: 


Simplifying
(y + -3)(y + -3) = 2y2 + 4y + 30

Reorder the terms:
(-3 + y)(y + -3) = 2y2 + 4y + 30

Reorder the terms:
(-3 + y)(-3 + y) = 2y2 + 4y + 30

Multiply (-3 + y) * (-3 + y)
(-3(-3 + y) + y(-3 + y)) = 2y2 + 4y + 30
((-3 * -3 + y * -3) + y(-3 + y)) = 2y2 + 4y + 30
((9 + -3y) + y(-3 + y)) = 2y2 + 4y + 30
(9 + -3y + (-3 * y + y * y)) = 2y2 + 4y + 30
(9 + -3y + (-3y + y2)) = 2y2 + 4y + 30

Combine like terms: -3y + -3y = -6y
(9 + -6y + y2) = 2y2 + 4y + 30

Reorder the terms:
9 + -6y + y2 = 30 + 4y + 2y2

Solving
9 + -6y + y2 = 30 + 4y + 2y2

Solving for variable 'y'.

Reorder the terms:
9 + -30 + -6y + -4y + y2 + -2y2 = 30 + 4y + 2y2 + -30 + -4y + -2y2

Combine like terms: 9 + -30 = -21
-21 + -6y + -4y + y2 + -2y2 = 30 + 4y + 2y2 + -30 + -4y + -2y2

Combine like terms: -6y + -4y = -10y
-21 + -10y + y2 + -2y2 = 30 + 4y + 2y2 + -30 + -4y + -2y2

Combine like terms: y2 + -2y2 = -1y2
-21 + -10y + -1y2 = 30 + 4y + 2y2 + -30 + -4y + -2y2

Reorder the terms:
-21 + -10y + -1y2 = 30 + -30 + 4y + -4y + 2y2 + -2y2

Combine like terms: 30 + -30 = 0
-21 + -10y + -1y2 = 0 + 4y + -4y + 2y2 + -2y2
-21 + -10y + -1y2 = 4y + -4y + 2y2 + -2y2

Combine like terms: 4y + -4y = 0
-21 + -10y + -1y2 = 0 + 2y2 + -2y2
-21 + -10y + -1y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-21 + -10y + -1y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(21 + 10y + y2) = 0

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

Ignore the factor -1.

Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve:

Simplifying
7 + y = 0

Solving
7 + y = 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 + y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + y = 0 + -7
y = 0 + -7

Combine like terms: 0 + -7 = -7
y = -7

Simplifying
y = -7

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 = {-7, -3}

See similar equations:

| 19x-11y=-29 | | V=(5-2x)(13-2x)(x) | | 2w+2=7 | | (x+1)(x+10)= | | 2.75=x+1.50x | | y=2x^2-14x+20 | | ln(x)-ln(6)=19 | | y=2x^2+17x+35 | | -2/3x-4=-9 | | -2/3x-4=9 | | 18=6 | | 8x+x=162 | | (3x+30)10=3000 | | 8ln(3x)=64 | | 8+2(-6)=-4 | | .2-.02(x+2)=-.05(1-x) | | 20+17=54 | | 6x^2-6x-2=0 | | 16y-3=12y+1 | | 7y^8+12=10 | | 2.1-2x=-3.5 | | 4(x+1)-2x=5x | | n=5n+3 | | 6x-7x+2=0 | | 2y+4=42 | | 9x+14-3x-16=22 | | 2u+3=-3 | | 3x+0.5=0.5x^2 | | 676=x^4 | | -7p-2=3p^2 | | 18x+3y=6 | | -9m(2m^2+6m-1)= |

Equations solver categories