-x^2-17x-15=0

Simple and best practice solution for -x^2-17x-15=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 -x^2-17x-15=0 equation: 


Simplifying
-1x2 + -17x + -15 = 0

Reorder the terms:
-15 + -17x + -1x2 = 0

Solving
-15 + -17x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + 17x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(15 + 17x + x2)' equal to zero and attempt to solve:

Simplifying
15 + 17x + x2 = 0

Solving
15 + 17x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 17x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + 17x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 17x + x2 = 0 + -15
17x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
17x + x2 = -15

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 = -15 + 72.25

Reorder the terms:
72.25 + 17x + x2 = -15 + 72.25

Combine like terms: -15 + 72.25 = 57.25
72.25 + 17x + x2 = 57.25

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = 57.25

Calculate the square root of the right side: 7.566372975

Break this problem into two subproblems by setting 
(x + 8.5) equal to 7.566372975 and -7.566372975.


Subproblem 1
x + 8.5 = 7.566372975

Simplifying
x + 8.5 = 7.566372975

Reorder the terms:
8.5 + x = 7.566372975

Solving
8.5 + x = 7.566372975

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 = 7.566372975 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = 7.566372975 + -8.5
x = 7.566372975 + -8.5

Combine like terms: 7.566372975 + -8.5 = -0.933627025
x = -0.933627025

Simplifying
x = -0.933627025


Subproblem 2
x + 8.5 = -7.566372975

Simplifying
x + 8.5 = -7.566372975

Reorder the terms:
8.5 + x = -7.566372975

Solving
8.5 + x = -7.566372975

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 = -7.566372975 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = -7.566372975 + -8.5
x = -7.566372975 + -8.5

Combine like terms: -7.566372975 + -8.5 = -16.066372975
x = -16.066372975

Simplifying
x = -16.066372975


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.933627025, -16.066372975}
Solution
x = {-0.933627025, -16.066372975}

See similar equations:

| y=2X^7-4X^3+8X+5 | | -4n+40=-48-8n | | -2x^2-17x-15=0 | | x^3+x^2-2x^2-2x-15x-15=0 | | 5+1x=7-2x | | ax^2+(2a-3)x+a-3=0 | | 2x^2+ax+2=0 | | 3x-5=5+1x | | -13+1x=8-2x | | 24x+2x-15=0 | | h(x)=63 | | 4x^2-9y^2+32x-36y-116=0 | | 5p+p=60 | | -5+1x=7-2x | | 2x-6-24=3x-2 | | 2x-6-12=3x-2 | | -19+3x=-2x+16 | | 1x+3x=0 | | 4y+8-12=80 | | 3(3x+8)=5(x-7) | | 17=a-17.2 | | -19+3x=2x+16 | | -19+3x=-2+16 | | 2(x+2)=18+3(a-2) | | c(n)=29 | | 2(2+2)=18+3(a-2) | | c(3)=c(8) | | -6(x+2)+3(8x-2)=0 | | c(0)=0 | | 10-11x=6-9x | | 3(2x-1)=-4(x+1) | | 4x+8=-60 |

Equations solver categories