-1x^2+6x+1=0

Simple and best practice solution for -1x^2+6x+1=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 -1x^2+6x+1=0 equation:


Simplifying
-1x2 + 6x + 1 = 0

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

Solving
1 + 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'.
-1 + -6x + x2 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -6x + 1 + x2 = 0 + 1

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

Combine like terms: -1 + 1 = 0
0 + -6x + x2 = 0 + 1
-6x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-6x + x2 = 1

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 = 1 + 9

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

Combine like terms: 1 + 9 = 10
9 + -6x + x2 = 10

Factor a perfect square on the left side:
(x + -3)(x + -3) = 10

Calculate the square root of the right side: 3.16227766

Break this problem into two subproblems by setting 
(x + -3) equal to 3.16227766 and -3.16227766.

Subproblem 1

x + -3 = 3.16227766 Simplifying x + -3 = 3.16227766 Reorder the terms: -3 + x = 3.16227766 Solving -3 + x = 3.16227766 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 = 3.16227766 + 3 Combine like terms: -3 + 3 = 0 0 + x = 3.16227766 + 3 x = 3.16227766 + 3 Combine like terms: 3.16227766 + 3 = 6.16227766 x = 6.16227766 Simplifying x = 6.16227766

Subproblem 2

x + -3 = -3.16227766 Simplifying x + -3 = -3.16227766 Reorder the terms: -3 + x = -3.16227766 Solving -3 + x = -3.16227766 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 = -3.16227766 + 3 Combine like terms: -3 + 3 = 0 0 + x = -3.16227766 + 3 x = -3.16227766 + 3 Combine like terms: -3.16227766 + 3 = -0.16227766 x = -0.16227766 Simplifying x = -0.16227766

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.16227766, -0.16227766}

See similar equations:

| -7=2n-6 | | 5x+2(3y-2x)+6(3x+4y)+10= | | 6+6(n-6)=18-6n | | 7x-20x= | | 0.7y-0.5y=1.1-0.1y | | -3x+6y=3 | | 3y^2-12y-9=0 | | x^5*5x^3+4x=0 | | -3=4n+1 | | 4=20x | | 5z+2(3y-2x)+6(3x+4y)+10= | | -13+-19=-6 | | -3x+6y=-3 | | -3x+6y=-6 | | 0.22y-0.1=0.12y+2-0.6y | | 2(6+n)+5(n-3)= | | 3n-2=-8 | | 4n+3=-5 | | 4(1+3x)-8=7+7x | | 4s-25=-22+5s | | 14x-7= | | 8=3n+2 | | 3(x-1)+4(x-2)= | | 7x-1=8x+7 | | 2x+14=-4(4+7x) | | 14d-2d=84 | | 100+50= | | 2(4z-9)= | | 2x+5=7x+40 | | 1/2(6x-4)=3x-2 | | 7n-12=4n+6 | | 2x+15=5x-60 |

Equations solver categories