(3y-8)(3y+8)=0

Simple and best practice solution for (3y-8)(3y+8)=0 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 (3y-8)(3y+8)=0 equation:


Simplifying
(3y + -8)(3y + 8) = 0

Reorder the terms:
(-8 + 3y)(3y + 8) = 0

Reorder the terms:
(-8 + 3y)(8 + 3y) = 0

Multiply (-8 + 3y) * (8 + 3y)
(-8(8 + 3y) + 3y * (8 + 3y)) = 0
((8 * -8 + 3y * -8) + 3y * (8 + 3y)) = 0
((-64 + -24y) + 3y * (8 + 3y)) = 0
(-64 + -24y + (8 * 3y + 3y * 3y)) = 0
(-64 + -24y + (24y + 9y2)) = 0

Combine like terms: -24y + 24y = 0
(-64 + 0 + 9y2) = 0
(-64 + 9y2) = 0

Solving
-64 + 9y2 = 0

Solving for variable 'y'.

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

Add '64' to each side of the equation.
-64 + 64 + 9y2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 9y2 = 0 + 64
9y2 = 0 + 64

Combine like terms: 0 + 64 = 64
9y2 = 64

Divide each side by '9'.
y2 = 7.111111111

Simplifying
y2 = 7.111111111

Take the square root of each side:
y = {-2.666666667, 2.666666667}

See similar equations:

| (x-6)(2x+5)=0 | | 6=5x-3x+6 | | c^2+6=10 | | x^4-2*x^3+4*x-3=0 | | 10+6x+3x=73 | | 66=2x+5x+10 | | 4*x^3-6*x^2+4=0 | | -40=x+3x-8 | | 5x+4+5x=34 | | -7+4(r+7)=5(-2+7r) | | 17=-5x+x-3 | | 4x+9+4x=81 | | 75=3x^2 | | 26=24-2 | | 3x-11=-27+7x | | 3p=4 | | 9r-14=-24+4r | | 4(1-2k)+3k=-5k-4(k+1) | | 7X^3+15x=26x^2 | | 8(k+5)+8(7k-5)=2k-8k | | 3-2y=11 | | 8m+2+7m=2(4m-5)+8(-6-m) | | 7=-x+4 | | 6x-2y=-4 | | 4x^2+32x=132 | | -6(1+3x)=-2(-6+6x)+3x | | 2x+y=11 | | 2x^3+32x=16x^2 | | 7x+6y+5=0 | | -2x+7=5-(4x+7) | | -5a+6(a+2)=2(a+1)-3 | | 2x+2y=16 |

Equations solver categories