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

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


Simplifying
(2x + -6)(3x + 2) = 0

Reorder the terms:
(-6 + 2x)(3x + 2) = 0

Reorder the terms:
(-6 + 2x)(2 + 3x) = 0

Multiply (-6 + 2x) * (2 + 3x)
(-6(2 + 3x) + 2x * (2 + 3x)) = 0
((2 * -6 + 3x * -6) + 2x * (2 + 3x)) = 0
((-12 + -18x) + 2x * (2 + 3x)) = 0
(-12 + -18x + (2 * 2x + 3x * 2x)) = 0
(-12 + -18x + (4x + 6x2)) = 0

Combine like terms: -18x + 4x = -14x
(-12 + -14x + 6x2) = 0

Solving
-12 + -14x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -7x + 3x2) = 0

Factor a trinomial.
2((-2 + -3x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.6666666667, 3}

See similar equations:

| log(7)x=-2 | | -16.2+14.8-5.82=1.74+17.5 | | (-6)(-2)+(-8)(-8)= | | solve(y+z)p+(z+x)q=x+y | | 31/8//-14/8= | | 11.6q+3.61=13.5q | | s=3/7=6 | | -9b+14=-7b+14 | | 20-3-11k=-17+6k | | (2a+5b)(5a+2b)= | | 4x^3-16x^2+12-3x=0 | | -16p=-20-18p | | -10+9u=5u+10 | | 5x=30+3(x-4) | | G=wm | | 8-f=-2f | | 3=8(x+4)-6X | | 9-7t=-6-10t | | 50+3x=154 | | -g-10=10+9g+10 | | 2p^2-13p-24=0 | | 5x=30+4x+3 | | 2m+10=-8m-10 | | 5x=30(4x)+3 | | 10-8h=-10h | | 2(-3-x)=3(8+2x)-4 | | 6+44-75= | | -5w+9=-9+w | | dy/dx-3y=6 | | 24x=6+3x+8 | | 3x+5y = 8 | | 5x=30+3x |

Equations solver categories