9x^2-174x-7=0

Simple and best practice solution for 9x^2-174x-7=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^2-174x-7=0 equation: 


Simplifying
9x2 + -174x + -7 = 0

Reorder the terms:
-7 + -174x + 9x2 = 0

Solving
-7 + -174x + 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'.
-0.7777777778 + -19.33333333x + x2 = 0

Move the constant term to the right:

Add '0.7777777778' to each side of the equation.
-0.7777777778 + -19.33333333x + 0.7777777778 + x2 = 0 + 0.7777777778

Reorder the terms:
-0.7777777778 + 0.7777777778 + -19.33333333x + x2 = 0 + 0.7777777778

Combine like terms: -0.7777777778 + 0.7777777778 = 0.0000000000
0.0000000000 + -19.33333333x + x2 = 0 + 0.7777777778
-19.33333333x + x2 = 0 + 0.7777777778

Combine like terms: 0 + 0.7777777778 = 0.7777777778
-19.33333333x + x2 = 0.7777777778

The x term is -19.33333333x.  Take half its coefficient (-9.666666665).
Square it (93.44444441) and add it to both sides.

Add '93.44444441' to each side of the equation.
-19.33333333x + 93.44444441 + x2 = 0.7777777778 + 93.44444441

Reorder the terms:
93.44444441 + -19.33333333x + x2 = 0.7777777778 + 93.44444441

Combine like terms: 0.7777777778 + 93.44444441 = 94.2222221878
93.44444441 + -19.33333333x + x2 = 94.2222221878

Factor a perfect square on the left side:
(x + -9.666666665)(x + -9.666666665) = 94.2222221878

Calculate the square root of the right side: 9.706813184

Break this problem into two subproblems by setting 
(x + -9.666666665) equal to 9.706813184 and -9.706813184.


Subproblem 1
x + -9.666666665 = 9.706813184

Simplifying
x + -9.666666665 = 9.706813184

Reorder the terms:
-9.666666665 + x = 9.706813184

Solving
-9.666666665 + x = 9.706813184

Solving for variable 'x'.

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

Add '9.666666665' to each side of the equation.
-9.666666665 + 9.666666665 + x = 9.706813184 + 9.666666665

Combine like terms: -9.666666665 + 9.666666665 = 0.000000000
0.000000000 + x = 9.706813184 + 9.666666665
x = 9.706813184 + 9.666666665

Combine like terms: 9.706813184 + 9.666666665 = 19.373479849
x = 19.373479849

Simplifying
x = 19.373479849


Subproblem 2
x + -9.666666665 = -9.706813184

Simplifying
x + -9.666666665 = -9.706813184

Reorder the terms:
-9.666666665 + x = -9.706813184

Solving
-9.666666665 + x = -9.706813184

Solving for variable 'x'.

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

Add '9.666666665' to each side of the equation.
-9.666666665 + 9.666666665 + x = -9.706813184 + 9.666666665

Combine like terms: -9.666666665 + 9.666666665 = 0.000000000
0.000000000 + x = -9.706813184 + 9.666666665
x = -9.706813184 + 9.666666665

Combine like terms: -9.706813184 + 9.666666665 = -0.040146519
x = -0.040146519

Simplifying
x = -0.040146519


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {19.373479849, -0.040146519}

See similar equations:

| -2=4x-3x-7 | | -8+5x-6x=-17 | | 80+7y=1400 | | -3x-88=45+4x | | 2(5x-2)+3(4-7x)=-25 | | 2(x+1)=-(4x+6) | | 3+5x=-52 | | 4a^2+8=108 | | 6y-5y(2)=8y+20 | | 6x-7+85=16x-2 | | y=4-2(5) | | 11q+6-(q+1)=5 | | y=4-2(2) | | 4x^2+3(64-32x+4x^2)=52 | | 22y+8=18 | | -5(w-6)=3(w+5) | | fx=3x+4 | | y=4-2(-1) | | 4k(-2)=6k-8 | | 5n^2-2=-93 | | (t-10)7=2t(6) | | 7x+3x^2=6 | | 6+2x-20=x-2 | | 10x-4+80=24x+6 | | -6.5x-8=11+3x | | 12(5j-11)=112+j | | 0.3c+0.3=0.6c-5 | | -(4m-5)=17 | | 9y(y+5)=2y(3) | | 7x^2-24x+48=52 | | 3(y-5)=3y+10 | | 6y+2y-7y=121 |

Equations solver categories