[x(x-5)]*0.5=42

Simple and best practice solution for [x(x-5)]*0.5=42 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-5)]*0.5=42 equation: 


Simplifying
[x(x + -5)] * 0.5 = 42

Reorder the terms:
[x(-5 + x)] * 0.5 = 42
[(-5 * x + x * x)] * 0.5 = 42
[(-5x + x2)] * 0.5 = 42

Reorder the terms for easier multiplication:
0.5[-5x + x2] = 42
[-5x * 0.5 + x2 * 0.5] = 42
[-2.5x + 0.5x2] = 42

Solving
-2.5x + 0.5x2 = 42

Solving for variable 'x'.

Reorder the terms:
-42 + -2.5x + 0.5x2 = 42 + -42

Combine like terms: 42 + -42 = 0
-42 + -2.5x + 0.5x2 = 0

Begin completing the square.  Divide all terms by
0.5 the coefficient of the squared term: 

Divide each side by '0.5'.
-84 + -5x + x2 = 0

Move the constant term to the right:

Add '84' to each side of the equation.
-84 + -5x + 84 + x2 = 0 + 84

Reorder the terms:
-84 + 84 + -5x + x2 = 0 + 84

Combine like terms: -84 + 84 = 0
0 + -5x + x2 = 0 + 84
-5x + x2 = 0 + 84

Combine like terms: 0 + 84 = 84
-5x + x2 = 84

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 = 84 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 84 + 6.25

Combine like terms: 84 + 6.25 = 90.25
6.25 + -5x + x2 = 90.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 90.25

Calculate the square root of the right side: 9.5

Break this problem into two subproblems by setting 
(x + -2.5) equal to 9.5 and -9.5.


Subproblem 1
x + -2.5 = 9.5

Simplifying
x + -2.5 = 9.5

Reorder the terms:
-2.5 + x = 9.5

Solving
-2.5 + x = 9.5

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 = 9.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = 9.5 + 2.5
x = 9.5 + 2.5

Combine like terms: 9.5 + 2.5 = 12
x = 12

Simplifying
x = 12


Subproblem 2
x + -2.5 = -9.5

Simplifying
x + -2.5 = -9.5

Reorder the terms:
-2.5 + x = -9.5

Solving
-2.5 + x = -9.5

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 = -9.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + x = -9.5 + 2.5
x = -9.5 + 2.5

Combine like terms: -9.5 + 2.5 = -7
x = -7

Simplifying
x = -7


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {12, -7}

See similar equations:

| 9x+5y=19 | | x^2-5x-42=0 | | 2.5+2.5=10 | | 54-6x=12x+22 | | 25y^2-39y+14= | | -122-7x=9x+16 | | 2n^2-7n=1 | | 2a^2-3a-20=0 | | 3x^2-5x+7= | | x^3+ax^2-5x+6=0 | | -4(x+1)=-3(x+3) | | 2a^2-5a-12=0 | | 122-4x=5x+23 | | 2a^2-7a-30=0 | | 9x=-18 | | 2(5x+2)=74 | | 18=9y-5y+10 | | c^2-4c-8= | | 3(2x+10)=72 | | x+4.9=1.1 | | -35x-5x=5-9x | | 3c^2+3c+2= | | 5x+40=40 | | x^2+22x=-40 | | 14y^2-41y+27= | | 3c^2+10c-5= | | 7x+4=3x+52 | | 1+17x+-8x^2=0 | | 5+6x=2x | | 4y^2+54=-33y | | 6x^2+9y^2-3= | | 3x+22+y=180 |

Equations solver categories