9x^2-12x-17=0

Simple and best practice solution for 9x^2-12x-17=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^2-12x-17=0 equation: 


Simplifying
9x2 + -12x + -17 = 0

Reorder the terms:
-17 + -12x + 9x2 = 0

Solving
-17 + -12x + 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'.
-1.888888889 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '1.888888889' to each side of the equation.
-1.888888889 + -1.333333333x + 1.888888889 + x2 = 0 + 1.888888889

Reorder the terms:
-1.888888889 + 1.888888889 + -1.333333333x + x2 = 0 + 1.888888889

Combine like terms: -1.888888889 + 1.888888889 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + 1.888888889
-1.333333333x + x2 = 0 + 1.888888889

Combine like terms: 0 + 1.888888889 = 1.888888889
-1.333333333x + x2 = 1.888888889

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = 1.888888889 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = 1.888888889 + 0.4444444442

Combine like terms: 1.888888889 + 0.4444444442 = 2.3333333332
0.4444444442 + -1.333333333x + x2 = 2.3333333332

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = 2.3333333332

Calculate the square root of the right side: 1.527525232

Break this problem into two subproblems by setting 
(x + -0.6666666665) equal to 1.527525232 and -1.527525232.


Subproblem 1
x + -0.6666666665 = 1.527525232

Simplifying
x + -0.6666666665 = 1.527525232

Reorder the terms:
-0.6666666665 + x = 1.527525232

Solving
-0.6666666665 + x = 1.527525232

Solving for variable 'x'.

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

Add '0.6666666665' to each side of the equation.
-0.6666666665 + 0.6666666665 + x = 1.527525232 + 0.6666666665

Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000
0.0000000000 + x = 1.527525232 + 0.6666666665
x = 1.527525232 + 0.6666666665

Combine like terms: 1.527525232 + 0.6666666665 = 2.1941918985
x = 2.1941918985

Simplifying
x = 2.1941918985


Subproblem 2
x + -0.6666666665 = -1.527525232

Simplifying
x + -0.6666666665 = -1.527525232

Reorder the terms:
-0.6666666665 + x = -1.527525232

Solving
-0.6666666665 + x = -1.527525232

Solving for variable 'x'.

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

Add '0.6666666665' to each side of the equation.
-0.6666666665 + 0.6666666665 + x = -1.527525232 + 0.6666666665

Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000
0.0000000000 + x = -1.527525232 + 0.6666666665
x = -1.527525232 + 0.6666666665

Combine like terms: -1.527525232 + 0.6666666665 = -0.8608585655
x = -0.8608585655

Simplifying
x = -0.8608585655


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.1941918985, -0.8608585655}

See similar equations:

| 10x+24=2x+224 | | 30x^2+3x-63= | | 3x/4-x/2=6 | | 4(x+y)=4(2) | | 3x+5=7-5x | | 4x-3(-2x-5)=95 | | 7u-15=-4(u+1) | | (-7)+(-11)+v/5 | | 60/2x=30/(x+5) | | 7s+2=5+3s | | x+72=-27 | | 14z^2+21=5z^2+5-24z | | 14y^8+8x^4+64= | | 60/2x=30 | | 10-g/(-2)=7 | | x^3+7x^2-18x= | | 0.4x-1.3=4.1x+1.9 | | 142-3x=24x+22 | | B^2-11b+24=0 | | -45=-5y | | -x/3-2+9 | | -4x+5(-2x+10)=-118 | | 15=(2/3)y+6 | | 6+x+(6x+7)= | | 100g^2+240g+144= | | 2/x=1/10 | | 9(u+6)=-5u-30 | | 0.30x+0.05(8-x)=0.10(-36) | | 129-8x=8x+15 | | 27x^2-75= | | Y=3x^2-12x+8 | | 42x+36x^2= |

Equations solver categories