9x^2-16x+2=0

Simple and best practice solution for 9x^2-16x+2=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 9x^2-16x+2=0 equation:


Simplifying
9x2 + -16x + 2 = 0

Reorder the terms:
2 + -16x + 9x2 = 0

Solving
2 + -16x + 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'.
0.2222222222 + -1.777777778x + x2 = 0

Move the constant term to the right:

Add '-0.2222222222' to each side of the equation.
0.2222222222 + -1.777777778x + -0.2222222222 + x2 = 0 + -0.2222222222

Reorder the terms:
0.2222222222 + -0.2222222222 + -1.777777778x + x2 = 0 + -0.2222222222

Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000
0.0000000000 + -1.777777778x + x2 = 0 + -0.2222222222
-1.777777778x + x2 = 0 + -0.2222222222

Combine like terms: 0 + -0.2222222222 = -0.2222222222
-1.777777778x + x2 = -0.2222222222

The x term is -1.777777778x.  Take half its coefficient (-0.888888889).
Square it (0.7901234570) and add it to both sides.

Add '0.7901234570' to each side of the equation.
-1.777777778x + 0.7901234570 + x2 = -0.2222222222 + 0.7901234570

Reorder the terms:
0.7901234570 + -1.777777778x + x2 = -0.2222222222 + 0.7901234570

Combine like terms: -0.2222222222 + 0.7901234570 = 0.5679012348
0.7901234570 + -1.777777778x + x2 = 0.5679012348

Factor a perfect square on the left side:
(x + -0.888888889)(x + -0.888888889) = 0.5679012348

Calculate the square root of the right side: 0.753592221

Break this problem into two subproblems by setting 
(x + -0.888888889) equal to 0.753592221 and -0.753592221.

Subproblem 1

x + -0.888888889 = 0.753592221 Simplifying x + -0.888888889 = 0.753592221 Reorder the terms: -0.888888889 + x = 0.753592221 Solving -0.888888889 + x = 0.753592221 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.888888889' to each side of the equation. -0.888888889 + 0.888888889 + x = 0.753592221 + 0.888888889 Combine like terms: -0.888888889 + 0.888888889 = 0.000000000 0.000000000 + x = 0.753592221 + 0.888888889 x = 0.753592221 + 0.888888889 Combine like terms: 0.753592221 + 0.888888889 = 1.64248111 x = 1.64248111 Simplifying x = 1.64248111

Subproblem 2

x + -0.888888889 = -0.753592221 Simplifying x + -0.888888889 = -0.753592221 Reorder the terms: -0.888888889 + x = -0.753592221 Solving -0.888888889 + x = -0.753592221 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.888888889' to each side of the equation. -0.888888889 + 0.888888889 + x = -0.753592221 + 0.888888889 Combine like terms: -0.888888889 + 0.888888889 = 0.000000000 0.000000000 + x = -0.753592221 + 0.888888889 x = -0.753592221 + 0.888888889 Combine like terms: -0.753592221 + 0.888888889 = 0.135296668 x = 0.135296668 Simplifying x = 0.135296668

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.64248111, 0.135296668}

See similar equations:

| 4m+6=145 | | 35-7y=24 | | X^2-2x-15=20 | | 5/4(12)+2/5(20)= | | 0=x^2+9x^2+20x | | 33/49×14/45×27/22 | | 9x^2+y^2+36x=0 | | 3n^2-10n=0 | | 3+3(5-2)= | | (3y-3)+(2y+8)=180 | | 2x^2+30=20x | | 8q+30=3q | | 4x^2+y^2+80x+336=0 | | 3y-10=34 | | 7y-2y+3=53 | | M+10+3m=58 | | 64-16+24= | | 2x+17+7x=3x+66+25 | | 4n+15=87 | | 6x+8x=-12x+7 | | 2r+7-8r+5-3r=9-r+6-5r-13 | | Y=-4+.25x | | (2x+1)-(3x-5)=(7x+1)-(2x+4) | | 6n-5=1 | | 5h+10+2h+14=20-h | | 7n+3=136 | | 15+n=25 | | (-1+14z)+(12z+17)=180 | | B^2+8b-2=0 | | 7n-15=83 | | 7n-6=71 | | 8(9)+0=31 |

Equations solver categories