-3p^2+9000p-1200000=0

Simple and best practice solution for -3p^2+9000p-1200000=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 -3p^2+9000p-1200000=0 equation: 


Simplifying
-3p2 + 9000p + -1200000 = 0

Reorder the terms:
-1200000 + 9000p + -3p2 = 0

Solving
-1200000 + 9000p + -3p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-400000 + 3000p + -1p2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-400000 + 3000p + -1p2)' equal to zero and attempt to solve:

Simplifying
-400000 + 3000p + -1p2 = 0

Solving
-400000 + 3000p + -1p2 = 0

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

Divide each side by '-1'.
400000 + -3000p + p2 = 0

Move the constant term to the right:

Add '-400000' to each side of the equation.
400000 + -3000p + -400000 + p2 = 0 + -400000

Reorder the terms:
400000 + -400000 + -3000p + p2 = 0 + -400000

Combine like terms: 400000 + -400000 = 0
0 + -3000p + p2 = 0 + -400000
-3000p + p2 = 0 + -400000

Combine like terms: 0 + -400000 = -400000
-3000p + p2 = -400000

The p term is -3000p.  Take half its coefficient (-1500).
Square it (2250000) and add it to both sides.

Add '2250000' to each side of the equation.
-3000p + 2250000 + p2 = -400000 + 2250000

Reorder the terms:
2250000 + -3000p + p2 = -400000 + 2250000

Combine like terms: -400000 + 2250000 = 1850000
2250000 + -3000p + p2 = 1850000

Factor a perfect square on the left side:
(p + -1500)(p + -1500) = 1850000

Calculate the square root of the right side: 1360.147050874

Break this problem into two subproblems by setting 
(p + -1500) equal to 1360.147050874 and -1360.147050874.


Subproblem 1
p + -1500 = 1360.147050874

Simplifying
p + -1500 = 1360.147050874

Reorder the terms:
-1500 + p = 1360.147050874

Solving
-1500 + p = 1360.147050874

Solving for variable 'p'.

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

Add '1500' to each side of the equation.
-1500 + 1500 + p = 1360.147050874 + 1500

Combine like terms: -1500 + 1500 = 0
0 + p = 1360.147050874 + 1500
p = 1360.147050874 + 1500

Combine like terms: 1360.147050874 + 1500 = 2860.147050874
p = 2860.147050874

Simplifying
p = 2860.147050874


Subproblem 2
p + -1500 = -1360.147050874

Simplifying
p + -1500 = -1360.147050874

Reorder the terms:
-1500 + p = -1360.147050874

Solving
-1500 + p = -1360.147050874

Solving for variable 'p'.

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

Add '1500' to each side of the equation.
-1500 + 1500 + p = -1360.147050874 + 1500

Combine like terms: -1500 + 1500 = 0
0 + p = -1360.147050874 + 1500
p = -1360.147050874 + 1500

Combine like terms: -1360.147050874 + 1500 = 139.852949126
p = 139.852949126

Simplifying
p = 139.852949126


Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {2860.147050874, 139.852949126}
Solution
p = {2860.147050874, 139.852949126}

See similar equations:

| 3(2d-8)=11-18(d-3) | | 4x=420 | | 4c+1-c=20 | | 1/8*m+3/4=7/12 | | 6-7v=76 | | 2c+r=m*c | | 6v-10=4v-1o | | 3+78x=39x+27 | | p^2-3000p+400000=0 | | -4(x-3)+2x=2(10-x) | | 9n+-7=5n+5 | | 8-7.96+9.4=-8.4 | | 27x^9-81x^8=0 | | 6y+2=3x | | 2(x+1)=6x-10 | | 2(x-4)+(x-3)=13 | | x+22-3x=-33-3x-36 | | 4d-16+8d=-4 | | 2.75=s-0 | | 6(a-2)=3a-7a-12 | | 4x+11=7x+2 | | -2x+11x-4x-8x-x=-20 | | 13.2=w+4.7 | | 6(x-3)+5x=-(x+2)+3x | | 3=1k-4 | | 1/8m+3/4=7/12 | | -(x-4)-5x=4(-8-3x) | | 2.75=s-0.50 | | 17=3r-10 | | 10w+9w-14w=-10 | | X^5-4x^3-2x=0 | | 2x+20=y+10 |

Equations solver categories