75000=x(x+3)

Simple and best practice solution for 75000=x(x+3) 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 75000=x(x+3) equation: 


Simplifying
75000 = x(x + 3)

Reorder the terms:
75000 = x(3 + x)
75000 = (3 * x + x * x)
75000 = (3x + x2)

Solving
75000 = 3x + x2

Solving for variable 'x'.

Reorder the terms:
75000 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
75000 + -3x + -1x2 = 0 + x2 + -1x2
75000 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
75000 + -3x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-75000 + 3x + x2 = 0

Move the constant term to the right:

Add '75000' to each side of the equation.
-75000 + 3x + 75000 + x2 = 0 + 75000

Reorder the terms:
-75000 + 75000 + 3x + x2 = 0 + 75000

Combine like terms: -75000 + 75000 = 0
0 + 3x + x2 = 0 + 75000
3x + x2 = 0 + 75000

Combine like terms: 0 + 75000 = 75000
3x + x2 = 75000

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 75000 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 75000 + 2.25

Combine like terms: 75000 + 2.25 = 75002.25
2.25 + 3x + x2 = 75002.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 75002.25

Calculate the square root of the right side: 273.865386641

Break this problem into two subproblems by setting 
(x + 1.5) equal to 273.865386641 and -273.865386641.


Subproblem 1
x + 1.5 = 273.865386641

Simplifying
x + 1.5 = 273.865386641

Reorder the terms:
1.5 + x = 273.865386641

Solving
1.5 + x = 273.865386641

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 273.865386641 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 273.865386641 + -1.5
x = 273.865386641 + -1.5

Combine like terms: 273.865386641 + -1.5 = 272.365386641
x = 272.365386641

Simplifying
x = 272.365386641


Subproblem 2
x + 1.5 = -273.865386641

Simplifying
x + 1.5 = -273.865386641

Reorder the terms:
1.5 + x = -273.865386641

Solving
1.5 + x = -273.865386641

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -273.865386641 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -273.865386641 + -1.5
x = -273.865386641 + -1.5

Combine like terms: -273.865386641 + -1.5 = -275.365386641
x = -275.365386641

Simplifying
x = -275.365386641


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {272.365386641, -275.365386641}

See similar equations:

| 5(x+4)=3[x-(4-x)] | | 15x+30=15x-90 | | -2.9=f+4.3 | | 2x-12y+5=0 | | sinx+14.87cosx=1.5 | | 0.5x+0.08=0.13 | | 3(g-2)+2=5g-7-2g | | 12x-(3x-9)=27 | | (x-2)(x-2)(x+3i)(x-3i)=0 | | 175000=x(x+3) | | 7x+10000=5x+14000 | | 7x+10000=10x+6000 | | f(-4)=8 | | (-5(x=6)/3)=10 | | 8750=x(x+3) | | 2n+3.75=7n | | 2s-13=27 | | 3(2p+5)-4(p+3)= | | 1750=x*(x+3) | | 2.3x+5.6=3.4 | | 6a+9=23 | | 7x-10+2x=5-x | | 3/5•20m= | | x+(x*0.32)=255 | | 5-3(1-9x)=3-2(2x+4) | | 4x-4t=2 | | 16fg-2g= | | s-3t=rt | | A/3-=2 | | t=(t+20)+(t+10) | | -5(1-5x)+5(-8x-2)=-5x-45 | | t=(t+10)+(t+20) |

Equations solver categories