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

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


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

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

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

Multiply (-2 + 3x) * (-2 + 3x)
(-2(-2 + 3x) + 3x * (-2 + 3x)) + 2 = 6
((-2 * -2 + 3x * -2) + 3x * (-2 + 3x)) + 2 = 6
((4 + -6x) + 3x * (-2 + 3x)) + 2 = 6
(4 + -6x + (-2 * 3x + 3x * 3x)) + 2 = 6
(4 + -6x + (-6x + 9x2)) + 2 = 6

Combine like terms: -6x + -6x = -12x
(4 + -12x + 9x2) + 2 = 6

Reorder the terms:
4 + 2 + -12x + 9x2 = 6

Combine like terms: 4 + 2 = 6
6 + -12x + 9x2 = 6

Add '-6' to each side of the equation.
6 + -12x + -6 + 9x2 = 6 + -6

Reorder the terms:
6 + -6 + -12x + 9x2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + -12x + 9x2 = 6 + -6
-12x + 9x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-12x + 9x2 = 0

Solving
-12x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4 + 3x) = 0

Ignore the factor 3.

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 '(-4 + 3x)' equal to zero and attempt to solve:

Simplifying
-4 + 3x = 0

Solving
-4 + 3x = 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 + 3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 0 + 4
3x = 0 + 4

Combine like terms: 0 + 4 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {0, 1.333333333}

See similar equations:

| =(2x-7)+5(x-3) | | 8m^2+16m-43=4 | | 1/3x16=11 | | 10x+55=80 | | 6x-1=3(x+8) | | =(2x)+5(x-3) | | t+8+3r= | | 2px-8p+qx+5q=1 | | 9/11-n=311 | | 3(-2)-4y=-32 | | 11a-9-4a=-3a+21 | | 6x/6-2x/6-3x/6 | | 10x+45=110 | | 3(6)-4y=-32 | | 17+5n=4n | | y-1.7=-2.6 | | x^4=-i | | -6+7-7h-2=10-12h+6n | | 5y^2-25y=-104 | | (x+5)*(x+6)=104 | | 1.2-y=4.3 | | 15(x-1)-7(x+9)=4x | | 3(-3)-4y=-32 | | 3.25+4(0.25-x)=0.3x+3(0.66666667-2x) | | 10sin^2(3x)=5 | | 4x+8=2x+2+6 | | 8+8h+5=11h+8+6h | | -6-x=13 | | 0.6x+0.4*18=14 | | (1/2)^6= | | x^2+0.25x-2=0 | | y=143.3x^2+1823.3x+6820 |

Equations solver categories