x^2-10x-72=0

Simple and best practice solution for x^2-10x-72=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^2-10x-72=0 equation: 


Simplifying
x2 + -10x + -72 = 0

Reorder the terms:
-72 + -10x + x2 = 0

Solving
-72 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '72' to each side of the equation.
-72 + -10x + 72 + x2 = 0 + 72

Reorder the terms:
-72 + 72 + -10x + x2 = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -10x + x2 = 0 + 72
-10x + x2 = 0 + 72

Combine like terms: 0 + 72 = 72
-10x + x2 = 72

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = 72 + 25

Reorder the terms:
25 + -10x + x2 = 72 + 25

Combine like terms: 72 + 25 = 97
25 + -10x + x2 = 97

Factor a perfect square on the left side:
(x + -5)(x + -5) = 97

Calculate the square root of the right side: 9.848857802

Break this problem into two subproblems by setting 
(x + -5) equal to 9.848857802 and -9.848857802.


Subproblem 1
x + -5 = 9.848857802

Simplifying
x + -5 = 9.848857802

Reorder the terms:
-5 + x = 9.848857802

Solving
-5 + x = 9.848857802

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 9.848857802 + 5

Combine like terms: -5 + 5 = 0
0 + x = 9.848857802 + 5
x = 9.848857802 + 5

Combine like terms: 9.848857802 + 5 = 14.848857802
x = 14.848857802

Simplifying
x = 14.848857802


Subproblem 2
x + -5 = -9.848857802

Simplifying
x + -5 = -9.848857802

Reorder the terms:
-5 + x = -9.848857802

Solving
-5 + x = -9.848857802

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -9.848857802 + 5

Combine like terms: -5 + 5 = 0
0 + x = -9.848857802 + 5
x = -9.848857802 + 5

Combine like terms: -9.848857802 + 5 = -4.848857802
x = -4.848857802

Simplifying
x = -4.848857802


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {14.848857802, -4.848857802}

See similar equations:

| 4-(2x-1)=19 | | x^2-8x+16=54 | | 6x-6=2x-18 | | 10=-3k-2k | | 3x+3+5x-7=28 | | 0,5z+6=z-1 | | 3x+1=7x+3 | | (6+u)(4u+5)=0 | | 5k-k=48 | | 4x(x-1)=(2x+5)(2x-5)+1 | | 3(f+2)=-15 | | 19=7+3y | | -15=n-3-5n | | -9m^2+11m-2+4m^2-8m+7= | | 7p+2p=99 | | 2(3t-5)=3t+15 | | -2a-6a=16 | | x(x+2)-13=(x-3)(x+3) | | x+3x+5x+2x+7= | | 56n^2+63=0 | | 2g+1=5 | | 3(2x-5y+4)= | | 6y+x=15 | | 4+(3)n=13 | | 11x=8x+27 | | 11x=6x+35 | | 7x=2x+45 | | 3(m-4)-(m+2)=0 | | 6(4x-7)=12 | | 6x^2+12x+4=0 | | 2(7x+2)=2x | | 3+3m+1=2m+4+m |

Equations solver categories