(x-3)*(x-3)=3*(x-3)

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


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

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

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

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x)) = 3(x + -3)
((-3 * -3 + x * -3) + x(-3 + x)) = 3(x + -3)
((9 + -3x) + x(-3 + x)) = 3(x + -3)
(9 + -3x + (-3 * x + x * x)) = 3(x + -3)
(9 + -3x + (-3x + x2)) = 3(x + -3)

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2) = 3(x + -3)

Reorder the terms:
9 + -6x + x2 = 3(-3 + x)
9 + -6x + x2 = (-3 * 3 + x * 3)
9 + -6x + x2 = (-9 + 3x)

Solving
9 + -6x + x2 = -9 + 3x

Solving for variable 'x'.

Reorder the terms:
9 + 9 + -6x + -3x + x2 = -9 + 3x + 9 + -3x

Combine like terms: 9 + 9 = 18
18 + -6x + -3x + x2 = -9 + 3x + 9 + -3x

Combine like terms: -6x + -3x = -9x
18 + -9x + x2 = -9 + 3x + 9 + -3x

Reorder the terms:
18 + -9x + x2 = -9 + 9 + 3x + -3x

Combine like terms: -9 + 9 = 0
18 + -9x + x2 = 0 + 3x + -3x
18 + -9x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -9x + x2 = 0

Factor a trinomial.
(3 + -1x)(6 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {3, 6}

See similar equations:

| 8(y-2)=4(y+1) | | -5r-7=-4(6r-3) | | -(z+17)=20 | | 12-5(y+7)=x-39 | | 9k+3=2k+38 | | 4x+36=6(6-8x) | | 2(a-7)=52 | | 3x-9=x^3-6x^2-9x+3x^3-18x-27 | | -5x-18=3-3(7-7x) | | 6f^2g-10f^2g=1 | | 37=9-4p | | 326=-12x+2 | | -5(v+3)=-15-5v | | 40=5+7m | | 4x^2-6x=21 | | 8(-4r+4)+6=-16-5r | | 6d-1=6+7d | | -7(7)+y=5 | | 20=4-4x | | -7(4)+y=5 | | 2x^2-12=2x | | 2x^2-12=2x | | -7(-1)+y=5 | | -355=13a-4 | | 4y-10x=0 | | 6=1+5x | | 8-2x+7-4x=3(x-4) | | 8(-4t+4)+6=-16-5r | | 23=7(8-d) | | m+.20m=54 | | 2(6m+3)=15+3m | | 4(1-5x)=-136 |

Equations solver categories