3(x-3)(x-3)+12=0

Simple and best practice solution for 3(x-3)(x-3)+12=0 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 3(x-3)(x-3)+12=0 equation: 


Simplifying
3(x + -3)(x + -3) + 12 = 0

Reorder the terms:
3(-3 + x)(x + -3) + 12 = 0

Reorder the terms:
3(-3 + x)(-3 + x) + 12 = 0

Multiply (-3 + x) * (-3 + x)
3(-3(-3 + x) + x(-3 + x)) + 12 = 0
3((-3 * -3 + x * -3) + x(-3 + x)) + 12 = 0
3((9 + -3x) + x(-3 + x)) + 12 = 0
3(9 + -3x + (-3 * x + x * x)) + 12 = 0
3(9 + -3x + (-3x + x2)) + 12 = 0

Combine like terms: -3x + -3x = -6x
3(9 + -6x + x2) + 12 = 0
(9 * 3 + -6x * 3 + x2 * 3) + 12 = 0
(27 + -18x + 3x2) + 12 = 0

Reorder the terms:
27 + 12 + -18x + 3x2 = 0

Combine like terms: 27 + 12 = 39
39 + -18x + 3x2 = 0

Solving
39 + -18x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(13 + -6x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(13 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
13 + -6x + x2 = 0

Solving
13 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -6x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -6x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6x + x2 = 0 + -13
-6x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-6x + x2 = -13

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -13 + 9

Reorder the terms:
9 + -6x + x2 = -13 + 9

Combine like terms: -13 + 9 = -4
9 + -6x + x2 = -4

Factor a perfect square on the left side:
(x + -3)(x + -3) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 0.5y-0.5=0.6+5x | | 6m+4.75=61.75 | | 2x-40=16 | | 49x^2+16=56x | | 0.7x=2.8x+0.7 | | x-3y=-30 | | 3xy+2x=1 | | 20T^2+5T= | | y=-1/7x+8 | | y+8-3y+6= | | x=6y-x/y | | 9X^2-24X+9=0 | | 2x-1=0.5+y | | 4-y=18 | | f(0)=2x^2-6x+6 | | 2x-1=0.5+4 | | 4(3x+1)=18 | | -3(4-r)=6 | | -9.7=x+2.1 | | 1836=34(p+10) | | 2/5-3/10 | | 4x+6-5x-5=2 | | 269.64=7(.06+28.90+.20(28.90)) | | -8.8(x-2.5)=17.6 | | 3x-1y=-1 | | 3.75=.75(b-2) | | 6-4/5x=-8 | | 6+7+1(5*n)=-12 | | -4x+5=-12-3x | | 99.2=8(m+3.6) | | 6+7+(5*n)=-12 | | 156.82=2.65w+15.58 |

Equations solver categories