-x^2-5x-6=-9

Simple and best practice solution for -x^2-5x-6=-9 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^2-5x-6=-9 equation:


Simplifying
-1x2 + -5x + -6 = -9

Reorder the terms:
-6 + -5x + -1x2 = -9

Solving
-6 + -5x + -1x2 = -9

Solving for variable 'x'.

Reorder the terms:
-6 + 9 + -5x + -1x2 = -9 + 9

Combine like terms: -6 + 9 = 3
3 + -5x + -1x2 = -9 + 9

Combine like terms: -9 + 9 = 0
3 + -5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-3 + 5x + x2 = 0

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + 5x + 3 + x2 = 0 + 3

Reorder the terms:
-3 + 3 + 5x + x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5x + x2 = 0 + 3
5x + x2 = 0 + 3

Combine like terms: 0 + 3 = 3
5x + x2 = 3

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 3 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 3 + 6.25

Combine like terms: 3 + 6.25 = 9.25
6.25 + 5x + x2 = 9.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 9.25

Calculate the square root of the right side: 3.041381265

Break this problem into two subproblems by setting 
(x + 2.5) equal to 3.041381265 and -3.041381265.

Subproblem 1

x + 2.5 = 3.041381265 Simplifying x + 2.5 = 3.041381265 Reorder the terms: 2.5 + x = 3.041381265 Solving 2.5 + x = 3.041381265 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 3.041381265 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 3.041381265 + -2.5 x = 3.041381265 + -2.5 Combine like terms: 3.041381265 + -2.5 = 0.541381265 x = 0.541381265 Simplifying x = 0.541381265

Subproblem 2

x + 2.5 = -3.041381265 Simplifying x + 2.5 = -3.041381265 Reorder the terms: 2.5 + x = -3.041381265 Solving 2.5 + x = -3.041381265 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -3.041381265 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -3.041381265 + -2.5 x = -3.041381265 + -2.5 Combine like terms: -3.041381265 + -2.5 = -5.541381265 x = -5.541381265 Simplifying x = -5.541381265

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.541381265, -5.541381265}

See similar equations:

| 5+2(x-1)=4(x)+7 | | (-3+i)(-8+7i)=0 | | 5h^2-5h-15=0 | | 4*23+9*23-2*23= | | 3x+3x=4x-x | | 3(x-2)-(5x-3)=2x+10 | | X+22=-3x-10 | | 15(x-1x)=-5(3-x)+10x | | 4*23+9*23-2*23=53+2 | | -8=-40 | | 4x+9-2x=53+2 | | 3x^2-8x-20=15 | | 23-y=4(y-3) | | 7+5r-4=9r+15-7r | | 6(d+2)=96 | | -4y-x=12 | | 4xln(x)-x=0 | | -7*9+9y=63 | | 3.4x-0.6=4.9 | | 3(3-5r)-3=-18 | | -2p+4p=18 | | 15x+23(x-5)=417 | | -15=6(5y+4) | | 3.4c-0.6=4.9 | | 3(3-5)-3=-18 | | x=2.5-3y | | 64x^3-25x=0 | | x+18y-3(73)+73(4)= | | 4x^2+45=0 | | 1-5x=9+3x | | (ln(9)-ln(-5x))=5 | | 3n+1n-6=-30 |

Equations solver categories