0.3x^2+20x-67500=0

Simple and best practice solution for 0.3x^2+20x-67500=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 0.3x^2+20x-67500=0 equation: 


Simplifying
0.3x2 + 20x + -67500 = 0

Reorder the terms:
-67500 + 20x + 0.3x2 = 0

Solving
-67500 + 20x + 0.3x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.3'.
-225000 + 66.66666667x + x2 = 0

Move the constant term to the right:

Add '225000' to each side of the equation.
-225000 + 66.66666667x + 225000 + x2 = 0 + 225000

Reorder the terms:
-225000 + 225000 + 66.66666667x + x2 = 0 + 225000

Combine like terms: -225000 + 225000 = 0
0 + 66.66666667x + x2 = 0 + 225000
66.66666667x + x2 = 0 + 225000

Combine like terms: 0 + 225000 = 225000
66.66666667x + x2 = 225000

The x term is 66.66666667x.  Take half its coefficient (33.33333334).
Square it (1111.111112) and add it to both sides.

Add '1111.111112' to each side of the equation.
66.66666667x + 1111.111112 + x2 = 225000 + 1111.111112

Reorder the terms:
1111.111112 + 66.66666667x + x2 = 225000 + 1111.111112

Combine like terms: 225000 + 1111.111112 = 226111.111112
1111.111112 + 66.66666667x + x2 = 226111.111112

Factor a perfect square on the left side:
(x + 33.33333334)(x + 33.33333334) = 226111.111112

Calculate the square root of the right side: 475.511420591

Break this problem into two subproblems by setting 
(x + 33.33333334) equal to 475.511420591 and -475.511420591.


Subproblem 1
x + 33.33333334 = 475.511420591

Simplifying
x + 33.33333334 = 475.511420591

Reorder the terms:
33.33333334 + x = 475.511420591

Solving
33.33333334 + x = 475.511420591

Solving for variable 'x'.

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

Add '-33.33333334' to each side of the equation.
33.33333334 + -33.33333334 + x = 475.511420591 + -33.33333334

Combine like terms: 33.33333334 + -33.33333334 = 0.00000000
0.00000000 + x = 475.511420591 + -33.33333334
x = 475.511420591 + -33.33333334

Combine like terms: 475.511420591 + -33.33333334 = 442.178087251
x = 442.178087251

Simplifying
x = 442.178087251


Subproblem 2
x + 33.33333334 = -475.511420591

Simplifying
x + 33.33333334 = -475.511420591

Reorder the terms:
33.33333334 + x = -475.511420591

Solving
33.33333334 + x = -475.511420591

Solving for variable 'x'.

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

Add '-33.33333334' to each side of the equation.
33.33333334 + -33.33333334 + x = -475.511420591 + -33.33333334

Combine like terms: 33.33333334 + -33.33333334 = 0.00000000
0.00000000 + x = -475.511420591 + -33.33333334
x = -475.511420591 + -33.33333334

Combine like terms: -475.511420591 + -33.33333334 = -508.844753931
x = -508.844753931

Simplifying
x = -508.844753931


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {442.178087251, -508.844753931}

See similar equations:

| 34-8b=-(-7b-4) | | y^2+3=2y | | 3(x-6)+7=-9x+8 | | 10=9x-2y | | 1x+3y=69 | | x+3x+5=7x-10 | | 8n-(3n+8)=27 | | -4(b-8)-4=20-6b | | 2x^2+5x+6.25=0 | | 6a^2b^7/3a^5b^3 | | 4x-5=2y-5 | | 1-x+5=3 | | 3(15x+100)=750 | | 5x+4y=-45 | | 2*m=5 | | 8(3+2x)-6=7x-18 | | 5x-50=10-5 | | 6x+8-9x=16-3x+10x-8 | | |x-8|=3 | | 3r-6=11r+4 | | 6.25(3.14)= | | .15t+2.50=30 | | 30.73=6g+3.67 | | 7(50)+12x=686 | | 4+2.5=6.5+2x | | 5/6x+7=x | | 47=20+31/2s+s | | 6f+18-16+3f= | | -v-21=6(8v+6)+8v | | 9a^3-12a^2+18a-24=0 | | 6x-46=10x+22 | | (-1/12)x^2+2x+3=0 |

Equations solver categories