x^2+6x-190=0

Simple and best practice solution for x^2+6x-190=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-190=0 equation:


Simplifying
x2 + 6x + -190 = 0

Reorder the terms:
-190 + 6x + x2 = 0

Solving
-190 + 6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '190' to each side of the equation.
-190 + 6x + 190 + x2 = 0 + 190

Reorder the terms:
-190 + 190 + 6x + x2 = 0 + 190

Combine like terms: -190 + 190 = 0
0 + 6x + x2 = 0 + 190
6x + x2 = 0 + 190

Combine like terms: 0 + 190 = 190
6x + x2 = 190

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 = 190 + 9

Reorder the terms:
9 + 6x + x2 = 190 + 9

Combine like terms: 190 + 9 = 199
9 + 6x + x2 = 199

Factor a perfect square on the left side:
(x + 3)(x + 3) = 199

Calculate the square root of the right side: 14.10673598

Break this problem into two subproblems by setting 
(x + 3) equal to 14.10673598 and -14.10673598.

Subproblem 1

x + 3 = 14.10673598 Simplifying x + 3 = 14.10673598 Reorder the terms: 3 + x = 14.10673598 Solving 3 + x = 14.10673598 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 = 14.10673598 + -3 Combine like terms: 3 + -3 = 0 0 + x = 14.10673598 + -3 x = 14.10673598 + -3 Combine like terms: 14.10673598 + -3 = 11.10673598 x = 11.10673598 Simplifying x = 11.10673598

Subproblem 2

x + 3 = -14.10673598 Simplifying x + 3 = -14.10673598 Reorder the terms: 3 + x = -14.10673598 Solving 3 + x = -14.10673598 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 = -14.10673598 + -3 Combine like terms: 3 + -3 = 0 0 + x = -14.10673598 + -3 x = -14.10673598 + -3 Combine like terms: -14.10673598 + -3 = -17.10673598 x = -17.10673598 Simplifying x = -17.10673598

Solution

The solution to the problem is based on the solutions from the subproblems. x = {11.10673598, -17.10673598}

See similar equations:

| 3b^2+10+8= | | 9t-8/13=t | | 5m^2+11m+6=0 | | y/8=-8-6 | | -2a+6+5a=9a-4a | | 30+x=150 | | 150x=30 | | -8+y=-2*4 | | 13.7+x=34 | | 8y=8x+8 | | 4x-69=-4x+3 | | x^3-4x^2-60x=0 | | 0.2x-0.6x-3=1 | | 0.13x+0.18x=0.16(x+50) | | (24x^6y^14)^1/2 | | -6(7d+3)= | | 10*12-(10-2*1.5)(12-2*1.5)/10*12 | | -8x+57=-10x+15+8x | | 9+4=9+a | | 8(n+8)= | | (7x+2)+(8x-3)=180 | | 7x+49=-2x+4 | | 3y-5+2y+4= | | 2x-8x+7x-3= | | 3+k=1+2 | | −6/6=3 | | S=q+9+p | | 3(x+7)=2x-6 | | 3(x+7)=2x-4 | | (x/80)/((200-x)/100)=8.4 | | 2=4p | | 26+2y-7=9y-9-3y |

Equations solver categories