4(3x-2)(3x-2)=36

Simple and best practice solution for 4(3x-2)(3x-2)=36 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 4(3x-2)(3x-2)=36 equation: 


Simplifying
4(3x + -2)(3x + -2) = 36

Reorder the terms:
4(-2 + 3x)(3x + -2) = 36

Reorder the terms:
4(-2 + 3x)(-2 + 3x) = 36

Multiply (-2 + 3x) * (-2 + 3x)
4(-2(-2 + 3x) + 3x * (-2 + 3x)) = 36
4((-2 * -2 + 3x * -2) + 3x * (-2 + 3x)) = 36
4((4 + -6x) + 3x * (-2 + 3x)) = 36
4(4 + -6x + (-2 * 3x + 3x * 3x)) = 36
4(4 + -6x + (-6x + 9x2)) = 36

Combine like terms: -6x + -6x = -12x
4(4 + -12x + 9x2) = 36
(4 * 4 + -12x * 4 + 9x2 * 4) = 36
(16 + -48x + 36x2) = 36

Solving
16 + -48x + 36x2 = 36

Solving for variable 'x'.

Reorder the terms:
16 + -36 + -48x + 36x2 = 36 + -36

Combine like terms: 16 + -36 = -20
-20 + -48x + 36x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-20 + -48x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + -12x + 9x2) = 0

Factor a trinomial.
4((-1 + -3x)(5 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-0.3333333333, 1.666666667}

See similar equations:

| -2(x+6)+3=-11+(x+4) | | 2(6x+3)=18-48+9d | | M^2(3m-2)-m=0 | | 12+5x+6=12x+6x-15 | | x=10-7(1) | | 36+12y=10y+8 | | -10+7y+7y=4 | | 0=2000-120.36x-4.9x^2 | | 8+2y=4y | | 10-7y+7y=4 | | x=1-1(-6) | | 1-1y-y=13 | | cx^2=d | | 14,101,605.00/2000 | | 3cosx+3=2sin^2x | | 4x^2-11=(x+8)(x+8) | | 33=-u+277 | | 80-y=160 | | -28+5y+3y=20 | | (4x^2/5y)*12y^4/24x^3 | | 39=0.1(x^2) | | 2(x^3-59)+2(5x-15)=25 | | 224-w=119 | | 7(n-3)=-21 | | 1/3d=8=1/6d-2 | | 3y(2y-5)=75 | | 7x^6*2u^8x^7*2u=0 | | -6y+21=4y-9 | | log(7k+5r^2)= | | 4x-1+7=5x+3 | | b+573+b=130973 | | 2.9x-9.97=8.3 |

Equations solver categories