x^2-2x-35=9

Simple and best practice solution for x^2-2x-35=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^2-2x-35=9 equation:


Simplifying
x2 + -2x + -35 = 9

Reorder the terms:
-35 + -2x + x2 = 9

Solving
-35 + -2x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
-35 + -9 + -2x + x2 = 9 + -9

Combine like terms: -35 + -9 = -44
-44 + -2x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-44 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '44' to each side of the equation.
-44 + -2x + 44 + x2 = 0 + 44

Reorder the terms:
-44 + 44 + -2x + x2 = 0 + 44

Combine like terms: -44 + 44 = 0
0 + -2x + x2 = 0 + 44
-2x + x2 = 0 + 44

Combine like terms: 0 + 44 = 44
-2x + x2 = 44

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 44 + 1

Reorder the terms:
1 + -2x + x2 = 44 + 1

Combine like terms: 44 + 1 = 45
1 + -2x + x2 = 45

Factor a perfect square on the left side:
(x + -1)(x + -1) = 45

Calculate the square root of the right side: 6.708203933

Break this problem into two subproblems by setting 
(x + -1) equal to 6.708203933 and -6.708203933.

Subproblem 1

x + -1 = 6.708203933 Simplifying x + -1 = 6.708203933 Reorder the terms: -1 + x = 6.708203933 Solving -1 + x = 6.708203933 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 6.708203933 + 1 Combine like terms: -1 + 1 = 0 0 + x = 6.708203933 + 1 x = 6.708203933 + 1 Combine like terms: 6.708203933 + 1 = 7.708203933 x = 7.708203933 Simplifying x = 7.708203933

Subproblem 2

x + -1 = -6.708203933 Simplifying x + -1 = -6.708203933 Reorder the terms: -1 + x = -6.708203933 Solving -1 + x = -6.708203933 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -6.708203933 + 1 Combine like terms: -1 + 1 = 0 0 + x = -6.708203933 + 1 x = -6.708203933 + 1 Combine like terms: -6.708203933 + 1 = -5.708203933 x = -5.708203933 Simplifying x = -5.708203933

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.708203933, -5.708203933}

See similar equations:

| 5x+38=17x-4 | | -9=w/4 | | 3n-40=1/2n=35 | | 14m-3(2m-5)=7m-6-2m | | -7x+1-4x=-43 | | 5(6-2)+(5*5)*10-5= | | -8.4-w=20 | | -44=-2x-7x+1 | | 22=3p | | -14=-2x-7x+1 | | x=5+bct | | 2/8=5/k-8 | | (x-1)(x+2)(x-3)(x+4)+24=0 | | (x+1)(x+2)(x-3)(x+4)-24=0 | | 3x-5=2.6x+-(x-4) | | 2x+ln(e^4x)=12 | | 33.14d=123.14 | | 8-5x+6x=20 | | 2x+8-5x+15=32 | | X=1.6x-6 | | -16-5x=7 | | F(6.3)=[6.3]+4 | | 5x+9y=-22 | | 8x+25-6x=56 | | 2y-3+1y=1-(y+2) | | m/5=2/3 | | x=-1.6+2x | | x*2+6y+9=0 | | 4*x^5+x^3+7*x-2=0 | | -4+r=7 | | -12=3+w | | -148+2x=-7x+113 |

Equations solver categories