-x^2-6x+9=0

Simple and best practice solution for -x^2-6x+9=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^2-6x+9=0 equation:


Simplifying
-1x2 + -6x + 9 = 0

Reorder the terms:
9 + -6x + -1x2 = 0

Solving
9 + -6x + -1x2 = 0

Solving for variable 'x'.

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

Divide each side by '-1'.
-9 + 6x + x2 = 0

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + 6x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + 6x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 6x + x2 = 0 + 9
6x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
6x + x2 = 9

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 9 + 9

Reorder the terms:
9 + 6x + x2 = 9 + 9

Combine like terms: 9 + 9 = 18
9 + 6x + x2 = 18

Factor a perfect square on the left side:
(x + 3)(x + 3) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting 
(x + 3) equal to 4.242640687 and -4.242640687.

Subproblem 1

x + 3 = 4.242640687 Simplifying x + 3 = 4.242640687 Reorder the terms: 3 + x = 4.242640687 Solving 3 + x = 4.242640687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 4.242640687 + -3 Combine like terms: 3 + -3 = 0 0 + x = 4.242640687 + -3 x = 4.242640687 + -3 Combine like terms: 4.242640687 + -3 = 1.242640687 x = 1.242640687 Simplifying x = 1.242640687

Subproblem 2

x + 3 = -4.242640687 Simplifying x + 3 = -4.242640687 Reorder the terms: 3 + x = -4.242640687 Solving 3 + x = -4.242640687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -4.242640687 + -3 Combine like terms: 3 + -3 = 0 0 + x = -4.242640687 + -3 x = -4.242640687 + -3 Combine like terms: -4.242640687 + -3 = -7.242640687 x = -7.242640687 Simplifying x = -7.242640687

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.242640687, -7.242640687}

See similar equations:

| 10(0.9)+-0.7y=9 | | 5x-3+2x=3+x-12 | | h=x+19.50 | | x^2-10x+25=15 | | h=19.50 | | 5x-12=18-x | | -5.6(2t+4)-1.8(4t-6)= | | 144x^2-196=0 | | 10x+7y=9 | | .66x+12=14 | | -6-8(6n-2)=n-39 | | 13x+4=3x+2(5x+2) | | (-17)*y= | | 2z=14+28 | | -6-8(6n-2)=n-9 | | (-17)xy= | | y^2x=0 | | 100[0.06(n+7)]= | | 0.6x+0.3=0.9x-0.3 | | 3x+7-12x=5x+7 | | 7x+12y+2=90 | | 6(3b-(6-6(2b-6)))=0 | | 24y^3+15y^2-8y-5=0 | | x^2-6x+9=81 | | r=(4)(h)+(4)(w) | | X=X-21.76 | | -x=y | | 3s^2+5s+2=0 | | 5-3(2x-1)=21 | | 0.7x-0.6x^3=0 | | 6u^2+19u-7=0 | | 6(2x-9)=2(6x+3) |

Equations solver categories