x(3x-8)=(3x+8)(x-8)

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


Simplifying
x(3x + -8) = (3x + 8)(x + -8)

Reorder the terms:
x(-8 + 3x) = (3x + 8)(x + -8)
(-8 * x + 3x * x) = (3x + 8)(x + -8)
(-8x + 3x2) = (3x + 8)(x + -8)

Reorder the terms:
-8x + 3x2 = (8 + 3x)(x + -8)

Reorder the terms:
-8x + 3x2 = (8 + 3x)(-8 + x)

Multiply (8 + 3x) * (-8 + x)
-8x + 3x2 = (8(-8 + x) + 3x * (-8 + x))
-8x + 3x2 = ((-8 * 8 + x * 8) + 3x * (-8 + x))
-8x + 3x2 = ((-64 + 8x) + 3x * (-8 + x))
-8x + 3x2 = (-64 + 8x + (-8 * 3x + x * 3x))
-8x + 3x2 = (-64 + 8x + (-24x + 3x2))

Combine like terms: 8x + -24x = -16x
-8x + 3x2 = (-64 + -16x + 3x2)

Add '-3x2' to each side of the equation.
-8x + 3x2 + -3x2 = -64 + -16x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8x + 0 = -64 + -16x + 3x2 + -3x2
-8x = -64 + -16x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8x = -64 + -16x + 0
-8x = -64 + -16x

Solving
-8x = -64 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-8x + 16x = -64 + -16x + 16x

Combine like terms: -8x + 16x = 8x
8x = -64 + -16x + 16x

Combine like terms: -16x + 16x = 0
8x = -64 + 0
8x = -64

Divide each side by '8'.
x = -8

Simplifying
x = -8

See similar equations:

| 10=2x-5(-x-16) | | (6p^2+6p-6)*(6p^2+6p-6)= | | (3x+y)(x^2+xy-y^2)= | | 2(x+1)+34=-4x | | -6t^2+64t+192=0 | | 3z-18=3 | | -3(x-1)+5x=4x-8 | | 36-81x^2=0 | | 6y^7+7y^6+3y^3= | | Gy^7+7Y^6+3y^3= | | 10+6q=13+5q | | 28+3y-11=15y-11-5y | | -8x+y=-1 | | -3*(-4)= | | 5(10-k)+10=-10(k-4)-8 | | 3n+2.8=7.6 | | -3r-(r-2)=34-8r | | (2+y)(2y^2+2y+2)= | | -20x-10y+20x+10y= | | 12x^3-23x^2-11x-13=0 | | 57-5x=7x-3 | | X^2-4c=I | | 33+2b=-4b-5(3-6b) | | 3y-4y/5=22 | | xy^3-144xyz^2=0 | | 2c+6=c-13 | | 343y^3-512= | | 6x+7-5x=11 | | a^2-24a+120=0 | | 8x-1=9x+8 | | 15x+110=28x+-49 | | (8X^2-3x)-(4x^2+5x-3)=0 |

Equations solver categories