(3x-4)(3x-4)+16=0

Simple and best practice solution for (3x-4)(3x-4)+16=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 (3x-4)(3x-4)+16=0 equation: 


Simplifying
(3x + -4)(3x + -4) + 16 = 0

Reorder the terms:
(-4 + 3x)(3x + -4) + 16 = 0

Reorder the terms:
(-4 + 3x)(-4 + 3x) + 16 = 0

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

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

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

Combine like terms: 16 + 16 = 32
32 + -24x + 9x2 = 0

Solving
32 + -24x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
3.555555556 + -2.666666667x + x2 = 0

Move the constant term to the right:

Add '-3.555555556' to each side of the equation.
3.555555556 + -2.666666667x + -3.555555556 + x2 = 0 + -3.555555556

Reorder the terms:
3.555555556 + -3.555555556 + -2.666666667x + x2 = 0 + -3.555555556

Combine like terms: 3.555555556 + -3.555555556 = 0.000000000
0.000000000 + -2.666666667x + x2 = 0 + -3.555555556
-2.666666667x + x2 = 0 + -3.555555556

Combine like terms: 0 + -3.555555556 = -3.555555556
-2.666666667x + x2 = -3.555555556

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 = -3.555555556 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667x + x2 = -3.555555556 + 1.777777780

Combine like terms: -3.555555556 + 1.777777780 = -1.777777776
1.777777780 + -2.666666667x + x2 = -1.777777776

Factor a perfect square on the left side:
(x + -1.333333334)(x + -1.333333334) = -1.777777776

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (x-8)(x-8)-81=0 | | y/5+y/4=7/5 | | -4(6y-5)-y=-3(y-2) | | 4k^2+12K-9=0 | | 1/5x+1/4=-2 | | 5/12X=3 | | 3/8X=24 | | 1/2X=11 | | 36r*5= | | -2y-7(6y-8)=1+9(1-y) | | E=LR+Lr | | 4/9X=20/18 | | r+6=3(r-3) | | x^3=29 | | 4/9X=10/18 | | 6r*5= | | 2r+6=3(3-r) | | 25v^2-64f^2=0 | | 5/7X=10/2 | | 6/12x=4/3 | | 10=-3x-17 | | 2/3x=5/6 | | 2s^2+15s+27=0 | | 5.07x=344.76 | | 3X+3(4-13)=96 | | 5/8x+9/15=7/5 | | x^2-113/9x+20/3=0 | | 5xy^2-2x^2y+x+5x^2= | | -5(6y-5)-y=-4(y-3) | | x(2x-18)-143= | | 5/3x+1/3x=3x+44/3+8/3x | | 2/x+2=5/4*x+17/8 |

Equations solver categories