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

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


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

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

Reorder the terms:
-8x + 6x2 = 2(8 + 6x)
-8x + 6x2 = (8 * 2 + 6x * 2)
-8x + 6x2 = (16 + 12x)

Solving
-8x + 6x2 = 16 + 12x

Solving for variable 'x'.

Reorder the terms:
-16 + -8x + -12x + 6x2 = 16 + 12x + -16 + -12x

Combine like terms: -8x + -12x = -20x
-16 + -20x + 6x2 = 16 + 12x + -16 + -12x

Reorder the terms:
-16 + -20x + 6x2 = 16 + -16 + 12x + -12x

Combine like terms: 16 + -16 = 0
-16 + -20x + 6x2 = 0 + 12x + -12x
-16 + -20x + 6x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-16 + -20x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -10x + 3x2) = 0

Factor a trinomial.
2((-2 + -3x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 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 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-0.6666666667, 4}

See similar equations:

| 15+5=30 | | 8y-1=14+5y | | 3m=5m+8 | | k-3=4k-15 | | ln(2x+3)+ln(x-9)-2lnx=0 | | d^2+18d+63=0 | | 78.5*17= | | 70=(x-3)(x) | | 96=(x+4)(x) | | (2x-3)(7x+2)=0 | | =4-3+40 | | (8x^2+5x-6)(-3x)=0 | | x+(-6)=16 | | 10x^2-100+160=0 | | 6x+7=1-4x | | (15x^2-13x-7)=0 | | 2(4x-9)+x=180 | | (3x^2-5x-2)+(9x^2-3x+3)=0 | | 42b^2-43b-7=0 | | 12x+13=6x+139 | | 35=7/5t | | iz+(3+2i)z-1+3i=2z-i | | 3x+8y=32 | | 3iz+z+4i-1=0 | | 9x+4=6x+22 | | (11x^2-4x+1)-(-x^2+5x-7)=0 | | 4+91x=52x+7 | | 56a^2+121a+63=0 | | 12x^3+x^2-21x+5=0 | | X-(2X-(3X-4))=11 | | -x^3+4x^2-x=0 | | x=(0.5766-x)/0.18 |

Equations solver categories