x^2-5x-35=0

Simple and best practice solution for x^2-5x-35=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^2-5x-35=0 equation: 


Simplifying
x2 + -5x + -35 = 0

Reorder the terms:
-35 + -5x + x2 = 0

Solving
-35 + -5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '35' to each side of the equation.
-35 + -5x + 35 + x2 = 0 + 35

Reorder the terms:
-35 + 35 + -5x + x2 = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -5x + x2 = 0 + 35
-5x + x2 = 0 + 35

Combine like terms: 0 + 35 = 35
-5x + x2 = 35

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = 35 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 35 + 6.25

Combine like terms: 35 + 6.25 = 41.25
6.25 + -5x + x2 = 41.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 41.25

Calculate the square root of the right side: 6.422616289

Break this problem into two subproblems by setting 
(x + -2.5) equal to 6.422616289 and -6.422616289.


Subproblem 1
x + -2.5 = 6.422616289

Simplifying
x + -2.5 = 6.422616289

Reorder the terms:
-2.5 + x = 6.422616289

Solving
-2.5 + x = 6.422616289

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = 6.422616289 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 6.422616289 + 2.5
x = 6.422616289 + 2.5

Combine like terms: 6.422616289 + 2.5 = 8.922616289
x = 8.922616289

Simplifying
x = 8.922616289


Subproblem 2
x + -2.5 = -6.422616289

Simplifying
x + -2.5 = -6.422616289

Reorder the terms:
-2.5 + x = -6.422616289

Solving
-2.5 + x = -6.422616289

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2.5' to each side of the equation.
-2.5 + 2.5 + x = -6.422616289 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -6.422616289 + 2.5
x = -6.422616289 + 2.5

Combine like terms: -6.422616289 + 2.5 = -3.922616289
x = -3.922616289

Simplifying
x = -3.922616289


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.922616289, -3.922616289}

See similar equations:

| S=150+15w | | 2[4(x+6)+1]+3x=17 | | 3(5w+8)-6= | | c=30x+17300 | | 4x=5(x+3)-x | | 10b^2-13bc-3c^2=0 | | a^3b-ab^2=0 | | 14-3x(2+1)= | | 2y-y=y^2 | | 2y-y= | | -42x^3-7x^2=0 | | x+.12x=496 | | p=b+2a+3c | | 24x^3-6x^2+8x=0 | | 17x+17800= | | 7t^2-28t+21=0 | | 2x+2(5x)+x=585 | | 2x+2(4x)+x=585 | | 6v+42=-6(v+7) | | 9x=x+1 | | 4x+14=102 | | 3x+14=102 | | -8y+2=-9y+6 | | 2(x+16)+2x=100 | | 6x+x=203 | | x-.16x=84.84 | | 3a-5-(11a-16)= | | 90+5x+15=14x+6 | | x+.06x=23.31 | | 2x^3-7x^2-10x+24=0 | | x+.06=23.31 | | .25x=170 |

Equations solver categories