x^2-6x-240=0

Simple and best practice solution for x^2-6x-240=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-240=0 equation:


Simplifying
x2 + -6x + -240 = 0

Reorder the terms:
-240 + -6x + x2 = 0

Solving
-240 + -6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '240' to each side of the equation.
-240 + -6x + 240 + x2 = 0 + 240

Reorder the terms:
-240 + 240 + -6x + x2 = 0 + 240

Combine like terms: -240 + 240 = 0
0 + -6x + x2 = 0 + 240
-6x + x2 = 0 + 240

Combine like terms: 0 + 240 = 240
-6x + x2 = 240

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 = 240 + 9

Reorder the terms:
9 + -6x + x2 = 240 + 9

Combine like terms: 240 + 9 = 249
9 + -6x + x2 = 249

Factor a perfect square on the left side:
(x + -3)(x + -3) = 249

Calculate the square root of the right side: 15.779733838

Break this problem into two subproblems by setting 
(x + -3) equal to 15.779733838 and -15.779733838.

Subproblem 1

x + -3 = 15.779733838 Simplifying x + -3 = 15.779733838 Reorder the terms: -3 + x = 15.779733838 Solving -3 + x = 15.779733838 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 = 15.779733838 + 3 Combine like terms: -3 + 3 = 0 0 + x = 15.779733838 + 3 x = 15.779733838 + 3 Combine like terms: 15.779733838 + 3 = 18.779733838 x = 18.779733838 Simplifying x = 18.779733838

Subproblem 2

x + -3 = -15.779733838 Simplifying x + -3 = -15.779733838 Reorder the terms: -3 + x = -15.779733838 Solving -3 + x = -15.779733838 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 = -15.779733838 + 3 Combine like terms: -3 + 3 = 0 0 + x = -15.779733838 + 3 x = -15.779733838 + 3 Combine like terms: -15.779733838 + 3 = -12.779733838 x = -12.779733838 Simplifying x = -12.779733838

Solution

The solution to the problem is based on the solutions from the subproblems. x = {18.779733838, -12.779733838}

See similar equations:

| -6-1-4x=-1 | | (D-2)(d-8)=4 | | 3n+15=-4(3-2n) | | 6x+4=2(3x+1)-x+6 | | 81b^2-36b+4=0 | | 3.9q-4.8-3.2q=-0.3q-4.7 | | 8x+3=2(4x+1)-x+7 | | (3n+6)-2n=n+3 | | 0.75x=1124.25 | | 9g-6=36-5g | | 6x+2=2(3x+1)-x+6 | | 4k^2+15k+11=0 | | 2ln(x+1)-ln(x-1)=3 | | 3q-16q=2+2(-8q-3) | | 9+3x-4x=0 | | 7(7+4p)=18-3p | | 4k^2+15+11=0 | | 9x(x-7)=19x^2-64x | | 4x=-19x+3 | | .75*8= | | 7x+1=3x-7 | | N+1=8+2n | | x-3x=8x-1-x | | 23(-12)=23 | | 8x+2=4x-10 | | 15b^2-22bc-5c^2=0 | | x(x+5)=98 | | -40=-7x+3x+4 | | 3(s+1)=6(s+6)-3(s-9) | | -7x-5=-47 | | 5(r+10)=7(r+5) | | .25(x-8)+.1x=6.20 |

Equations solver categories