x*9(x+17)=-1

Simple and best practice solution for x*9(x+17)=-1 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 x*9(x+17)=-1 equation:


Simplifying
x * 9(x + 17) = -1

Reorder the terms:
x * 9(17 + x) = -1

Reorder the terms for easier multiplication:
9x(17 + x) = -1
(17 * 9x + x * 9x) = -1
(153x + 9x2) = -1

Solving
153x + 9x2 = -1

Solving for variable 'x'.

Reorder the terms:
1 + 153x + 9x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 153x + 9x2 = 0

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

Divide each side by '9'.
0.1111111111 + 17x + x2 = 0

Move the constant term to the right:

Add '-0.1111111111' to each side of the equation.
0.1111111111 + 17x + -0.1111111111 + x2 = 0 + -0.1111111111

Reorder the terms:
0.1111111111 + -0.1111111111 + 17x + x2 = 0 + -0.1111111111

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
0.0000000000 + 17x + x2 = 0 + -0.1111111111
17x + x2 = 0 + -0.1111111111

Combine like terms: 0 + -0.1111111111 = -0.1111111111
17x + x2 = -0.1111111111

The x term is 17x.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17x + 72.25 + x2 = -0.1111111111 + 72.25

Reorder the terms:
72.25 + 17x + x2 = -0.1111111111 + 72.25

Combine like terms: -0.1111111111 + 72.25 = 72.1388888889
72.25 + 17x + x2 = 72.1388888889

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = 72.1388888889

Calculate the square root of the right side: 8.493461537

Break this problem into two subproblems by setting 
(x + 8.5) equal to 8.493461537 and -8.493461537.

Subproblem 1

x + 8.5 = 8.493461537 Simplifying x + 8.5 = 8.493461537 Reorder the terms: 8.5 + x = 8.493461537 Solving 8.5 + x = 8.493461537 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -8.5 + x = 8.493461537 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + x = 8.493461537 + -8.5 x = 8.493461537 + -8.5 Combine like terms: 8.493461537 + -8.5 = -0.006538463 x = -0.006538463 Simplifying x = -0.006538463

Subproblem 2

x + 8.5 = -8.493461537 Simplifying x + 8.5 = -8.493461537 Reorder the terms: 8.5 + x = -8.493461537 Solving 8.5 + x = -8.493461537 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -8.5 + x = -8.493461537 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + x = -8.493461537 + -8.5 x = -8.493461537 + -8.5 Combine like terms: -8.493461537 + -8.5 = -16.993461537 x = -16.993461537 Simplifying x = -16.993461537

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.006538463, -16.993461537}

See similar equations:

| 7x^2+3=507 | | f-54+2f=33 | | 3x^3+3x^2y-18xy^2=0 | | -5x+12=-43 | | 16-4(21)=x | | 5d^2-10a-59=0 | | (3x-4)(2x-7)= | | 4x-7y=-84 | | 180=90+2x+x | | 10x+75=50 | | t+9-6t=-66 | | 3m-10=-14m | | 10m^2+20m-80=0 | | 6x^4-13x^3+13x^2-39x-15=0 | | 3x+-5x-13+2x+3=180 | | 70=200%b | | 294a^2-54=0 | | 294a^2-54=o | | 2x-(-4)=7 | | x+x+7=225 | | (x-25)-(3x-20)=180 | | -3a+4-8+9a= | | 8x-20=15x | | x^2+175x=1600*7 | | y-(-6)y=-2 | | 5a=6a-901 | | c-16=1 | | 8=(0.75)(3)+b | | 3x^2+2x=5x+12 | | 6p-5=-2p+11 | | 44+44(7x-5)=180 | | 10u=-4 |

Equations solver categories