9x^2-6x-7.3=0

Simple and best practice solution for 9x^2-6x-7.3=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^2-6x-7.3=0 equation: 


Simplifying
9x2 + -6x + -7.3 = 0

Reorder the terms:
-7.3 + -6x + 9x2 = 0

Solving
-7.3 + -6x + 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'.
-0.8111111111 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '0.8111111111' to each side of the equation.
-0.8111111111 + -0.6666666667x + 0.8111111111 + x2 = 0 + 0.8111111111

Reorder the terms:
-0.8111111111 + 0.8111111111 + -0.6666666667x + x2 = 0 + 0.8111111111

Combine like terms: -0.8111111111 + 0.8111111111 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + 0.8111111111
-0.6666666667x + x2 = 0 + 0.8111111111

Combine like terms: 0 + 0.8111111111 = 0.8111111111
-0.6666666667x + x2 = 0.8111111111

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = 0.8111111111 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = 0.8111111111 + 0.1111111112

Combine like terms: 0.8111111111 + 0.1111111112 = 0.9222222223
0.1111111112 + -0.6666666667x + x2 = 0.9222222223

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = 0.9222222223

Calculate the square root of the right side: 0.960324019

Break this problem into two subproblems by setting 
(x + -0.3333333334) equal to 0.960324019 and -0.960324019.


Subproblem 1
x + -0.3333333334 = 0.960324019

Simplifying
x + -0.3333333334 = 0.960324019

Reorder the terms:
-0.3333333334 + x = 0.960324019

Solving
-0.3333333334 + x = 0.960324019

Solving for variable 'x'.

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

Add '0.3333333334' to each side of the equation.
-0.3333333334 + 0.3333333334 + x = 0.960324019 + 0.3333333334

Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000
0.0000000000 + x = 0.960324019 + 0.3333333334
x = 0.960324019 + 0.3333333334

Combine like terms: 0.960324019 + 0.3333333334 = 1.2936573524
x = 1.2936573524

Simplifying
x = 1.2936573524


Subproblem 2
x + -0.3333333334 = -0.960324019

Simplifying
x + -0.3333333334 = -0.960324019

Reorder the terms:
-0.3333333334 + x = -0.960324019

Solving
-0.3333333334 + x = -0.960324019

Solving for variable 'x'.

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

Add '0.3333333334' to each side of the equation.
-0.3333333334 + 0.3333333334 + x = -0.960324019 + 0.3333333334

Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000
0.0000000000 + x = -0.960324019 + 0.3333333334
x = -0.960324019 + 0.3333333334

Combine like terms: -0.960324019 + 0.3333333334 = -0.6269906856
x = -0.6269906856

Simplifying
x = -0.6269906856


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.2936573524, -0.6269906856}

See similar equations:

| 8(m+3)=8m+24 | | 9x^2-6x+0=0 | | x-(x*0.25)=1.5 | | 2logx=2+log(log-16) | | 5(n-83)-(-59)=69 | | 5x+(-3)=4 | | -9+6x=3+3x | | 4(k+5)-17=63 | | (2-u)(5u-7)=0 | | 3509a-2750=7 | | 3x^2+17x+28=0 | | 5/5=25 | | 3y^2+17=0 | | t=1/6ya | | 19x+11y=-3 | | 2+6a=8a-6 | | 2r^2-8r+7=0 | | 18x-20y=150 | | -4(v+10)=60 | | 2.5k(4k+2)=12k | | 7.4x=10.9 | | 5(d+4)+2=67 | | 3x^2-5x+2=x-1 | | 7.4x=8.3 | | 2x+2+6x=6x-8 | | 3x/x^2-2x | | 6(8-3*2)= | | 2(x+1)=3(x+2)+6 | | 2-2x-5=3-5x | | -1.25+0.26x=0 | | x+(x-3)=75 | | 20p-18p-2p+p=16 |

Equations solver categories