x(3x-8)=(3x+8)(x-4)

Simple and best practice solution for x(3x-8)=(3x+8)(x-4) 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-4) equation:


Simplifying
x(3x + -8) = (3x + 8)(x + -4)

Reorder the terms:
x(-8 + 3x) = (3x + 8)(x + -4)
(-8 * x + 3x * x) = (3x + 8)(x + -4)
(-8x + 3x2) = (3x + 8)(x + -4)

Reorder the terms:
-8x + 3x2 = (8 + 3x)(x + -4)

Reorder the terms:
-8x + 3x2 = (8 + 3x)(-4 + x)

Multiply (8 + 3x) * (-4 + x)
-8x + 3x2 = (8(-4 + x) + 3x * (-4 + x))
-8x + 3x2 = ((-4 * 8 + x * 8) + 3x * (-4 + x))
-8x + 3x2 = ((-32 + 8x) + 3x * (-4 + x))
-8x + 3x2 = (-32 + 8x + (-4 * 3x + x * 3x))
-8x + 3x2 = (-32 + 8x + (-12x + 3x2))

Combine like terms: 8x + -12x = -4x
-8x + 3x2 = (-32 + -4x + 3x2)

Add '-3x2' to each side of the equation.
-8x + 3x2 + -3x2 = -32 + -4x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8x + 0 = -32 + -4x + 3x2 + -3x2
-8x = -32 + -4x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8x = -32 + -4x + 0
-8x = -32 + -4x

Solving
-8x = -32 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8x + 4x = -32 + -4x + 4x

Combine like terms: -8x + 4x = -4x
-4x = -32 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4x = -32 + 0
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

See similar equations:

| 4t+12-6= | | -12(x-12)=-9(2+7x) | | 3(x+2)=2x-6 | | 9x-(7x+5)=3x-50 | | -30+12y=-9 | | 3x+8=0+4x | | 8(4k-4)=-5k-42 | | 0+(-13)= | | 3(2.50)+3(5.30)g=55.20 | | -7x-14=5x-14 | | 6m(m-3)+4(2+2m)= | | 4.9x^2-15x+51=0 | | -12=-12+y | | 40s=3s | | 2x-4=4(5-x)+3x | | 0.3x-0.5(2x+3)=-0.8(x+4) | | 3m+6=2m-4 | | (3/4)(x-2)-1=8x+10 | | f(x)=(-m+2)x+3 | | -80/-20 | | 3x=-7x+20 | | 1+3.14/2 | | 2(x+y)=1000 | | 5x-(8x+7)=5x-23 | | 3/32 | | (x+7)(x-3)=(x+1)(x+1) | | 5x(x+5)-11=5x^2+22x+1 | | 5r-2whenr=3 | | 5(3x-8)=y | | A+44=5a | | 1/2x-3=23 | | 4.5x+3=3 |

Equations solver categories