-3x^2+108x+600=0

Simple and best practice solution for -3x^2+108x+600=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 -3x^2+108x+600=0 equation: 


Simplifying
-3x2 + 108x + 600 = 0

Reorder the terms:
600 + 108x + -3x2 = 0

Solving
600 + 108x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(200 + 36x + -1x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(200 + 36x + -1x2)' equal to zero and attempt to solve:

Simplifying
200 + 36x + -1x2 = 0

Solving
200 + 36x + -1x2 = 0

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

Divide each side by '-1'.
-200 + -36x + x2 = 0

Move the constant term to the right:

Add '200' to each side of the equation.
-200 + -36x + 200 + x2 = 0 + 200

Reorder the terms:
-200 + 200 + -36x + x2 = 0 + 200

Combine like terms: -200 + 200 = 0
0 + -36x + x2 = 0 + 200
-36x + x2 = 0 + 200

Combine like terms: 0 + 200 = 200
-36x + x2 = 200

The x term is -36x.  Take half its coefficient (-18).
Square it (324) and add it to both sides.

Add '324' to each side of the equation.
-36x + 324 + x2 = 200 + 324

Reorder the terms:
324 + -36x + x2 = 200 + 324

Combine like terms: 200 + 324 = 524
324 + -36x + x2 = 524

Factor a perfect square on the left side:
(x + -18)(x + -18) = 524

Calculate the square root of the right side: 22.891046285

Break this problem into two subproblems by setting 
(x + -18) equal to 22.891046285 and -22.891046285.


Subproblem 1
x + -18 = 22.891046285

Simplifying
x + -18 = 22.891046285

Reorder the terms:
-18 + x = 22.891046285

Solving
-18 + x = 22.891046285

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + x = 22.891046285 + 18

Combine like terms: -18 + 18 = 0
0 + x = 22.891046285 + 18
x = 22.891046285 + 18

Combine like terms: 22.891046285 + 18 = 40.891046285
x = 40.891046285

Simplifying
x = 40.891046285


Subproblem 2
x + -18 = -22.891046285

Simplifying
x + -18 = -22.891046285

Reorder the terms:
-18 + x = -22.891046285

Solving
-18 + x = -22.891046285

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + x = -22.891046285 + 18

Combine like terms: -18 + 18 = 0
0 + x = -22.891046285 + 18
x = -22.891046285 + 18

Combine like terms: -22.891046285 + 18 = -4.891046285
x = -4.891046285

Simplifying
x = -4.891046285


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {40.891046285, -4.891046285}
Solution
x = {40.891046285, -4.891046285}

See similar equations:

| -6p+7=3(2p-3)-4(-19+4p) | | 3x+-3=x+7 | | x+4a=0 | | 4x+2(3x+5)-x+3(x-2)= | | 2X+3=-7+12 | | -14=-6+r | | -2v+2=2v-14 | | 2x+b=cx+5 | | 5g=-3 | | 3+6x=-22+x | | 1.30x-(x-2.30)(3.10x-5.40)-3.03=4.60-(3.10x-1.20)(x-5.30)-4.30x | | x^2+24x+9=0 | | z^3=125i | | -8-5n=22 | | H+68=92 | | z^3=123i | | 8+5n=22 | | 11=e-72 | | 5(x+8)=2x-7+8(x-1) | | 2r-17=-1 | | 25+s=45 | | x-10=86 | | 3x=13x+40 | | X+3=86 | | 24x^2+65x-50=0 | | 3(x-1)+7=4x+2-3(2-x) | | 23=43-f | | 11x-20=5x+8 | | -x^2-20+3=o | | (8x^2-27)(48x^2)=0 | | 5c+6d-3d-3c= | | H+23=119 |

Equations solver categories