x(x-4)=65

Simple and best practice solution for x(x-4)=65 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(x-4)=65 equation: 


Simplifying
x(x + -4) = 65

Reorder the terms:
x(-4 + x) = 65
(-4 * x + x * x) = 65
(-4x + x2) = 65

Solving
-4x + x2 = 65

Solving for variable 'x'.

Reorder the terms:
-65 + -4x + x2 = 65 + -65

Combine like terms: 65 + -65 = 0
-65 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '65' to each side of the equation.
-65 + -4x + 65 + x2 = 0 + 65

Reorder the terms:
-65 + 65 + -4x + x2 = 0 + 65

Combine like terms: -65 + 65 = 0
0 + -4x + x2 = 0 + 65
-4x + x2 = 0 + 65

Combine like terms: 0 + 65 = 65
-4x + x2 = 65

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 65 + 4

Reorder the terms:
4 + -4x + x2 = 65 + 4

Combine like terms: 65 + 4 = 69
4 + -4x + x2 = 69

Factor a perfect square on the left side:
(x + -2)(x + -2) = 69

Calculate the square root of the right side: 8.306623863

Break this problem into two subproblems by setting 
(x + -2) equal to 8.306623863 and -8.306623863.


Subproblem 1
x + -2 = 8.306623863

Simplifying
x + -2 = 8.306623863

Reorder the terms:
-2 + x = 8.306623863

Solving
-2 + x = 8.306623863

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 8.306623863 + 2

Combine like terms: -2 + 2 = 0
0 + x = 8.306623863 + 2
x = 8.306623863 + 2

Combine like terms: 8.306623863 + 2 = 10.306623863
x = 10.306623863

Simplifying
x = 10.306623863


Subproblem 2
x + -2 = -8.306623863

Simplifying
x + -2 = -8.306623863

Reorder the terms:
-2 + x = -8.306623863

Solving
-2 + x = -8.306623863

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -8.306623863 + 2

Combine like terms: -2 + 2 = 0
0 + x = -8.306623863 + 2
x = -8.306623863 + 2

Combine like terms: -8.306623863 + 2 = -6.306623863
x = -6.306623863

Simplifying
x = -6.306623863


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.306623863, -6.306623863}

See similar equations:

| 8x^2+65x+64=0 | | C=50+40(2) | | 8c^2+65x+64=0 | | 2(2x-4)=65 | | C=50+40(1) | | 4x+7x+8=90 | | 2y-27=229 | | 22x^2+51x-10=0 | | 10t+9-11-t=(2t+4)-3(2t-2) | | y=x^2+7x | | 3x^2=21x-36 | | 4x^2+32x+64=0 | | ln(x+4)-ln(x+1)=lnx | | 3x-7=4x+3 | | x*x+4x-21=x+7 | | -6-6x=-42 | | 2(x-4)=65 | | 3x=65-3 | | 3s-10=36 | | -4+2(5x-6)=-3-39 | | -15=30x | | 12x^2+1x+5=0 | | -15=30 | | .4x+56=.6(x+80) | | 144+33=x | | 5q^2-10z=-12 | | -3(1+6m)=14-m | | x+12x=66 | | 6(6k+6)-5=1+6k | | x-15=30 | | -3+x=9 | | x(x+12)=66 |

Equations solver categories