3[x-2][x-2]=27

Simple and best practice solution for 3[x-2][x-2]=27 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-2][x-2]=27 equation: 


Simplifying
3[x + -2][x + -2] = 27

Reorder the terms:
3[-2 + x][x + -2] = 27

Reorder the terms:
3[-2 + x][-2 + x] = 27

Multiply [-2 + x] * [-2 + x]
3[-2[-2 + x] + x[-2 + x]] = 27
3[[-2 * -2 + x * -2] + x[-2 + x]] = 27
3[[4 + -2x] + x[-2 + x]] = 27
3[4 + -2x + [-2 * x + x * x]] = 27
3[4 + -2x + [-2x + x2]] = 27

Combine like terms: -2x + -2x = -4x
3[4 + -4x + x2] = 27
[4 * 3 + -4x * 3 + x2 * 3] = 27
[12 + -12x + 3x2] = 27

Solving
12 + -12x + 3x2 = 27

Solving for variable 'x'.

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

Combine like terms: 12 + -27 = -15
-15 + -12x + 3x2 = 27 + -27

Combine like terms: 27 + -27 = 0
-15 + -12x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + -4x + x2) = 0

Factor a trinomial.
3((-1 + -1x)(5 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-1, 5}

See similar equations:

| 10x+18=10x-18 | | 2x--1=x+11 | | w+6=2(2-6) | | 3k+5-2k+-6=11 | | 3.9h=18.33 | | (6y+7)-(6+5y)=8 | | s^2+36=0 | | 2+4y=6+8y | | 7+4x=x+19 | | a(c-4)+t(c-4)= | | 6N=7N+12 | | 9.72=1.8h | | 16-30x=1 | | 4(t+1)=28c | | 5.4=0.3h | | .5(8x-2)=1 | | 4(t+1)=37 | | 0.9h=13.5 | | 4x^6-12x^5+24x^4= | | 5(1x-7)=-60 | | 3p^2+10p-7=0 | | 0.666667=-.8v-.5 | | (3+x)(x-4)=2 | | 7x^2-13x-11=0 | | -91=-7(5+x) | | (4/3)x+8=(-4) | | 81-a^4=0 | | 20v^2-23vb+6b^2=0 | | -3-7=-28 | | 0.4h=9.2 | | t^3+2t^2-16t-32=0 | | 3(2-x)+4x=-.3(x+3) |

Equations solver categories