(y-6)(y-6)=2y^2-3y+50

Simple and best practice solution for (y-6)(y-6)=2y^2-3y+50 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-6)(y-6)=2y^2-3y+50 equation: 


Simplifying
(y + -6)(y + -6) = 2y2 + -3y + 50

Reorder the terms:
(-6 + y)(y + -6) = 2y2 + -3y + 50

Reorder the terms:
(-6 + y)(-6 + y) = 2y2 + -3y + 50

Multiply (-6 + y) * (-6 + y)
(-6(-6 + y) + y(-6 + y)) = 2y2 + -3y + 50
((-6 * -6 + y * -6) + y(-6 + y)) = 2y2 + -3y + 50
((36 + -6y) + y(-6 + y)) = 2y2 + -3y + 50
(36 + -6y + (-6 * y + y * y)) = 2y2 + -3y + 50
(36 + -6y + (-6y + y2)) = 2y2 + -3y + 50

Combine like terms: -6y + -6y = -12y
(36 + -12y + y2) = 2y2 + -3y + 50

Reorder the terms:
36 + -12y + y2 = 50 + -3y + 2y2

Solving
36 + -12y + y2 = 50 + -3y + 2y2

Solving for variable 'y'.

Reorder the terms:
36 + -50 + -12y + 3y + y2 + -2y2 = 50 + -3y + 2y2 + -50 + 3y + -2y2

Combine like terms: 36 + -50 = -14
-14 + -12y + 3y + y2 + -2y2 = 50 + -3y + 2y2 + -50 + 3y + -2y2

Combine like terms: -12y + 3y = -9y
-14 + -9y + y2 + -2y2 = 50 + -3y + 2y2 + -50 + 3y + -2y2

Combine like terms: y2 + -2y2 = -1y2
-14 + -9y + -1y2 = 50 + -3y + 2y2 + -50 + 3y + -2y2

Reorder the terms:
-14 + -9y + -1y2 = 50 + -50 + -3y + 3y + 2y2 + -2y2

Combine like terms: 50 + -50 = 0
-14 + -9y + -1y2 = 0 + -3y + 3y + 2y2 + -2y2
-14 + -9y + -1y2 = -3y + 3y + 2y2 + -2y2

Combine like terms: -3y + 3y = 0
-14 + -9y + -1y2 = 0 + 2y2 + -2y2
-14 + -9y + -1y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-14 + -9y + -1y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + 9y + y2) = 0

Factor a trinomial.
-1((7 + y)(2 + 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 '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 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 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {-7, -2}

See similar equations:

| x+102+45=180 | | 407/11 | | 5x-10xy= | | 5x+1=1x+5 | | 2x^2-13x+19=(x-7)(x-7) | | -4/5-3/4x=1/8 | | 15x+8y=12x-4y | | 3x+3=-9+5x | | 48=18+6b | | 14,4/3,2 | | 2(6a+3)=-90 | | -5x+10=4x-53 | | 2v^2-7v+55=(v-7)(v-7) | | 2x+4(-x-5)=14 | | -6x+3=-101+7x | | f(x)=5tan(2x) | | 7x^2+4x-18=37 | | z^5+32-32i=0 | | -2(4-2x)=-3x-5 | | 3x^4+3x^2=6x^2+6x | | 5=8n-7+4n | | 2(x+8)-10=-2x+2 | | -5x-2=6x+130 | | 10-x+7x=34 | | 26=-8y+6(y+2) | | 12x+7=-10-4 | | -6+5x-4x=6 | | 5x-5=7+6x | | 2x+19y=23 | | 26.25/5 | | -30=x-4x+30 | | 3+12=-5x-25 |

Equations solver categories