x(3x+6)=2x(5x-4)

Simple and best practice solution for x(3x+6)=2x(5x-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+6)=2x(5x-4) equation:


Simplifying
x(3x + 6) = 2x(5x + -4)

Reorder the terms:
x(6 + 3x) = 2x(5x + -4)
(6 * x + 3x * x) = 2x(5x + -4)
(6x + 3x2) = 2x(5x + -4)

Reorder the terms:
6x + 3x2 = 2x(-4 + 5x)
6x + 3x2 = (-4 * 2x + 5x * 2x)
6x + 3x2 = (-8x + 10x2)

Solving
6x + 3x2 = -8x + 10x2

Solving for variable 'x'.

Reorder the terms:
6x + 8x + 3x2 + -10x2 = -8x + 10x2 + 8x + -10x2

Combine like terms: 6x + 8x = 14x
14x + 3x2 + -10x2 = -8x + 10x2 + 8x + -10x2

Combine like terms: 3x2 + -10x2 = -7x2
14x + -7x2 = -8x + 10x2 + 8x + -10x2

Reorder the terms:
14x + -7x2 = -8x + 8x + 10x2 + -10x2

Combine like terms: -8x + 8x = 0
14x + -7x2 = 0 + 10x2 + -10x2
14x + -7x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
14x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), '7x'.
7x(2 + -1x) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

See similar equations:

| sqrt(n)+8=n+1 | | -4w=92 | | (3/5)*4 | | 5xx-3x= | | sqrt(n)-n+7=0 | | 5xx-3x=0 | | (3/5)*12 | | Y/6=24 | | sin(x+40)=.5 | | 3(3x-9)+2(4x+8)= | | 0=3x^2-24x+20 | | 6-r=-4 | | 4h-3h=7 | | 17/33=x/100 | | x(x-2)=o | | 12(x-1)=3(4x+9)-15 | | 3a-2a-1=15 | | 1/18×3 | | -66x^2+4x-126=0 | | 14v-10v=16 | | (x-3)/2=-5 | | 1-2/x-24/x^2=0 | | 3(3x-5)+2(2x+6)=0 | | 18-r=10 | | 4=r/2 | | (7-u)(3u-8)=0 | | p-18=3 | | (3X-2)16=320 | | 18x+10x= | | 5x/6=500 | | 9+5y-6=8y+5-2y | | 125+10l+40=6s+14l |

Equations solver categories