=(3x-4)(3x-4)+6

Simple and best practice solution for =(3x-4)(3x-4)+6 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-4)(3x-4)+6 equation: 


Simplifying
0 = (3x + -4)(3x + -4) + 6

Reorder the terms:
0 = (-4 + 3x)(3x + -4) + 6

Reorder the terms:
0 = (-4 + 3x)(-4 + 3x) + 6

Multiply (-4 + 3x) * (-4 + 3x)
0 = (-4(-4 + 3x) + 3x * (-4 + 3x)) + 6
0 = ((-4 * -4 + 3x * -4) + 3x * (-4 + 3x)) + 6
0 = ((16 + -12x) + 3x * (-4 + 3x)) + 6
0 = (16 + -12x + (-4 * 3x + 3x * 3x)) + 6
0 = (16 + -12x + (-12x + 9x2)) + 6

Combine like terms: -12x + -12x = -24x
0 = (16 + -24x + 9x2) + 6

Reorder the terms:
0 = 16 + 6 + -24x + 9x2

Combine like terms: 16 + 6 = 22
0 = 22 + -24x + 9x2

Solving
0 = 22 + -24x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -22 = -22
-22 + 24x + -9x2 = 22 + -24x + 9x2 + -22 + 24x + -9x2

Reorder the terms:
-22 + 24x + -9x2 = 22 + -22 + -24x + 24x + 9x2 + -9x2

Combine like terms: 22 + -22 = 0
-22 + 24x + -9x2 = 0 + -24x + 24x + 9x2 + -9x2
-22 + 24x + -9x2 = -24x + 24x + 9x2 + -9x2

Combine like terms: -24x + 24x = 0
-22 + 24x + -9x2 = 0 + 9x2 + -9x2
-22 + 24x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-22 + 24x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
2.444444444 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-2.444444444' to each side of the equation.
2.444444444 + -2.666666667x + -2.444444444 + x2 = 0 + -2.444444444

Reorder the terms:
2.444444444 + -2.444444444 + -2.666666667x + x2 = 0 + -2.444444444

Combine like terms: 2.444444444 + -2.444444444 = 0.000000000
0.000000000 + -2.666666667x + x2 = 0 + -2.444444444
-2.666666667x + x2 = 0 + -2.444444444

Combine like terms: 0 + -2.444444444 = -2.444444444
-2.666666667x + x2 = -2.444444444

The x term is -2.666666667x.  Take half its coefficient (-1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
-2.666666667x + 1.777777780 + x2 = -2.444444444 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -2.444444444 + 1.777777780

Combine like terms: -2.444444444 + 1.777777780 = -0.666666664
1.777777780 + -2.666666667x + x2 = -0.666666664

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -0.666666664

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| f/3=-3 | | x/-3=-15 | | 10+3x-2x=12 | | 8[7-8(y-7)]=112 | | 3/x-7+4/x-5 | | 3(x+1)+5(2+x)=18 | | 252-5x=40x+17 | | 3x+6y+2x-2y-x-7y= | | F(x)=-9 | | 10y^2-20y=0 | | 2x^2+11x-90=0 | | 15*b-1=30 | | 9-2x+x=1 | | 4x^2+6x-1558=0 | | x+6v=2 | | -35-2.5=-100 | | F(5)=5x-8 | | 8x^2+x-75=0 | | 7(x+2)+5(3+x)=30 | | 7x^2+14x-105=0 | | -3(x+(-8))=5 | | 7N=(-20)N-9 | | -12z/18 | | 2/120 | | 40x+10(x*1.5)=800 | | 3v-8+4v=27 | | 1/4-(-1/6-7/3) | | 3*x-2*(4*x+1)=3*(6-x) | | 2k^2+11k-30=0 | | (7x+3x)/5=10 | | (10s^5t)(7st^4)= | | 2n^2=6-4n |

Equations solver categories