x(3x-4)+x(3x-2)=(6x+8)(x-2)

Simple and best practice solution for x(3x-4)+x(3x-2)=(6x+8)(x-2) 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-4)+x(3x-2)=(6x+8)(x-2) equation: 


Simplifying
x(3x + -4) + x(3x + -2) = (6x + 8)(x + -2)

Reorder the terms:
x(-4 + 3x) + x(3x + -2) = (6x + 8)(x + -2)
(-4 * x + 3x * x) + x(3x + -2) = (6x + 8)(x + -2)
(-4x + 3x2) + x(3x + -2) = (6x + 8)(x + -2)

Reorder the terms:
-4x + 3x2 + x(-2 + 3x) = (6x + 8)(x + -2)
-4x + 3x2 + (-2 * x + 3x * x) = (6x + 8)(x + -2)
-4x + 3x2 + (-2x + 3x2) = (6x + 8)(x + -2)

Reorder the terms:
-4x + -2x + 3x2 + 3x2 = (6x + 8)(x + -2)

Combine like terms: -4x + -2x = -6x
-6x + 3x2 + 3x2 = (6x + 8)(x + -2)

Combine like terms: 3x2 + 3x2 = 6x2
-6x + 6x2 = (6x + 8)(x + -2)

Reorder the terms:
-6x + 6x2 = (8 + 6x)(x + -2)

Reorder the terms:
-6x + 6x2 = (8 + 6x)(-2 + x)

Multiply (8 + 6x) * (-2 + x)
-6x + 6x2 = (8(-2 + x) + 6x * (-2 + x))
-6x + 6x2 = ((-2 * 8 + x * 8) + 6x * (-2 + x))
-6x + 6x2 = ((-16 + 8x) + 6x * (-2 + x))
-6x + 6x2 = (-16 + 8x + (-2 * 6x + x * 6x))
-6x + 6x2 = (-16 + 8x + (-12x + 6x2))

Combine like terms: 8x + -12x = -4x
-6x + 6x2 = (-16 + -4x + 6x2)

Add '-6x2' to each side of the equation.
-6x + 6x2 + -6x2 = -16 + -4x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6x + 0 = -16 + -4x + 6x2 + -6x2
-6x = -16 + -4x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6x = -16 + -4x + 0
-6x = -16 + -4x

Solving
-6x = -16 + -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.
-6x + 4x = -16 + -4x + 4x

Combine like terms: -6x + 4x = -2x
-2x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2x = -16 + 0
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

See similar equations:

| 44x+4=6-42x | | -42+m=-20 | | 24x+3=13-x | | 8u+11=2(4u-6) | | -7(x+5)=28 | | z-2+1/6z=1+5/6z | | 23x+33=12x+30 | | 3(x-5)-x+10=2x+6 | | 8x-13=2x-13 | | 2X^2+2X-54=0 | | 8x+10=7x+2 | | 0.3x+5.3=-1.1x-1.7 | | 7/8m-1=-15/16m+4 | | 5.2+4.4n=n+97.7 | | .25x=325 | | 22x-2=3x+15 | | x/5+1=(x+8)/2 | | 3498x+46x=75 | | 6x+26=15x-42 | | 8(x+4)=3(3-2x)+14x | | x-2+x+(x-2)/3=93 | | f(x)=3x-9 | | 3(4x-2)+6x=30-9 | | 7x+4=5+2x | | 9/10y-7/10=21/5 | | 3(6-x)=6-x | | 1/5y=21/4 | | -0.2(x-2)=-0.7(x-12) | | 3.4+b=9.2 | | 1.7n=10n | | X^4-6x^2+73=0 | | 9/10z-9=-19/20z+1 |

Equations solver categories