(3x-2)(3x-3)=

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


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

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

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

Multiply (-2 + 3x) * (-3 + 3x)
(-2(-3 + 3x) + 3x * (-3 + 3x)) = 0
((-3 * -2 + 3x * -2) + 3x * (-3 + 3x)) = 0
((6 + -6x) + 3x * (-3 + 3x)) = 0
(6 + -6x + (-3 * 3x + 3x * 3x)) = 0
(6 + -6x + (-9x + 9x2)) = 0

Combine like terms: -6x + -9x = -15x
(6 + -15x + 9x2) = 0

Solving
6 + -15x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -5x + 3x2) = 0

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

Ignore the factor 3.

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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {0.6666666667, 1}

See similar equations:

| 3(x+2)+4=-2(x-1) | | 11x-6=-3 | | 9x^2+34x-8=0 | | s=-16t^2+1156 | | 5(2c+3)-12(6-c)=11(4c+7) | | (x^2-x+1)(x^2+5)= | | (2x+1)(3x-2)=-2 | | (4x-3)*5-6x=-4*(5+9x) | | 4(4-3x)=18+7x | | n-28=195 | | -7z-3=8z | | -25+c^2=0 | | y^2+10=24 | | z-3.7z+1.2=-1.5(z-2.4) | | -16=-5v+20 | | 9*(-2x+4)=(-11)*(2x-1)-(-3x-31) | | (4y+5)(5y+3)= | | 3t-7=-133 | | x+81=3x-39 | | 3(4x+3)=5(x-2)+15 | | 4v-3=7v-15 | | 13=u-4 | | -4+c^2=0 | | x+23+4x=-35-4x-41 | | 7y-6+24y^2=0 | | 74y+6z=79 | | -1.8=-0.6u+0.3u | | x+2.7x+2.4=-5.4(x-5.5) | | -x^2+23+24=0 | | 49-28b+4b^2=0 | | 3x-20=x | | 3y-y+6=18 |

Equations solver categories