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

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


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

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

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

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

Multiply (8 + 2x) * (-3 + x)
-6x + 2x2 = (8(-3 + x) + 2x * (-3 + x))
-6x + 2x2 = ((-3 * 8 + x * 8) + 2x * (-3 + x))
-6x + 2x2 = ((-24 + 8x) + 2x * (-3 + x))
-6x + 2x2 = (-24 + 8x + (-3 * 2x + x * 2x))
-6x + 2x2 = (-24 + 8x + (-6x + 2x2))

Combine like terms: 8x + -6x = 2x
-6x + 2x2 = (-24 + 2x + 2x2)

Add '-2x2' to each side of the equation.
-6x + 2x2 + -2x2 = -24 + 2x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6x + 0 = -24 + 2x + 2x2 + -2x2
-6x = -24 + 2x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6x = -24 + 2x + 0
-6x = -24 + 2x

Solving
-6x = -24 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6x + -2x = -24 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-8x = -24 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8x = -24 + 0
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

See similar equations:

| A=3000(1+0.09)*35 | | (4x+4)-(6x-8)= | | 23654+545467676=xi(255545454545454-xi) | | 6x+2y=5x+7 | | As+By=Cz | | a+7a-2a+9=a+5 | | 4v-6=-4 | | 3(x+2)=2(x+9) | | x^2+y^2+6y=16 | | 8b^5x/x^3 | | 22-40=2500 | | 10+10*Q=15+20*Q | | -4(-8z-8)= | | 22+40x=2500 | | 7.0/10 | | 70/10= | | 0.7/10= | | 12.25-3(12.25-7)=4(12.25-7)-2(12.25) | | 2159463=(12x)11 | | 15+20*Q=30*Q | | 2159463=(11x)12 | | 0.74= | | g^3+5g^5= | | A=1500(1+0.063)*28 | | 10+10*Q=30*Q | | 125=3x*4 | | 48+23.5*Q=25*Q | | 9.6+24*Q=25*Q | | 4/x=9/7 | | A=3000(1+0.067)*35 | | 5x+3y^2-y=4 | | 4(n+2)=2(n-3) |

Equations solver categories