-3x^2-400x+200=0

Simple and best practice solution for -3x^2-400x+200=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^2-400x+200=0 equation: 


Simplifying
-3x2 + -400x + 200 = 0

Reorder the terms:
200 + -400x + -3x2 = 0

Solving
200 + -400x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
-66.66666667 + 133.3333333x + x2 = 0

Move the constant term to the right:

Add '66.66666667' to each side of the equation.
-66.66666667 + 133.3333333x + 66.66666667 + x2 = 0 + 66.66666667

Reorder the terms:
-66.66666667 + 66.66666667 + 133.3333333x + x2 = 0 + 66.66666667

Combine like terms: -66.66666667 + 66.66666667 = 0.00000000
0.00000000 + 133.3333333x + x2 = 0 + 66.66666667
133.3333333x + x2 = 0 + 66.66666667

Combine like terms: 0 + 66.66666667 = 66.66666667
133.3333333x + x2 = 66.66666667

The x term is 133.3333333x.  Take half its coefficient (66.66666665).
Square it (4444.444442) and add it to both sides.

Add '4444.444442' to each side of the equation.
133.3333333x + 4444.444442 + x2 = 66.66666667 + 4444.444442

Reorder the terms:
4444.444442 + 133.3333333x + x2 = 66.66666667 + 4444.444442

Combine like terms: 66.66666667 + 4444.444442 = 4511.11110867
4444.444442 + 133.3333333x + x2 = 4511.11110867

Factor a perfect square on the left side:
(x + 66.66666665)(x + 66.66666665) = 4511.11110867

Calculate the square root of the right side: 67.164805581

Break this problem into two subproblems by setting 
(x + 66.66666665) equal to 67.164805581 and -67.164805581.


Subproblem 1
x + 66.66666665 = 67.164805581

Simplifying
x + 66.66666665 = 67.164805581

Reorder the terms:
66.66666665 + x = 67.164805581

Solving
66.66666665 + x = 67.164805581

Solving for variable 'x'.

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

Add '-66.66666665' to each side of the equation.
66.66666665 + -66.66666665 + x = 67.164805581 + -66.66666665

Combine like terms: 66.66666665 + -66.66666665 = 0.00000000
0.00000000 + x = 67.164805581 + -66.66666665
x = 67.164805581 + -66.66666665

Combine like terms: 67.164805581 + -66.66666665 = 0.498138931
x = 0.498138931

Simplifying
x = 0.498138931


Subproblem 2
x + 66.66666665 = -67.164805581

Simplifying
x + 66.66666665 = -67.164805581

Reorder the terms:
66.66666665 + x = -67.164805581

Solving
66.66666665 + x = -67.164805581

Solving for variable 'x'.

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

Add '-66.66666665' to each side of the equation.
66.66666665 + -66.66666665 + x = -67.164805581 + -66.66666665

Combine like terms: 66.66666665 + -66.66666665 = 0.00000000
0.00000000 + x = -67.164805581 + -66.66666665
x = -67.164805581 + -66.66666665

Combine like terms: -67.164805581 + -66.66666665 = -133.831472231
x = -133.831472231

Simplifying
x = -133.831472231


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.498138931, -133.831472231}

See similar equations:

| u^3+6u^2-3u-18=0 | | 168p=37 | | E+1=2c-2 | | 2a+8=9a+7 | | -144+7x=-4+150 | | -8(3+x)+3(3-x)-5=-6x-10(x+2) | | 4b-1/2=3 | | u^3-3u-18=0 | | 7V+5=-79 | | TAN*.0833=X | | TAM*.0833=X | | 2x=75+5x | | 3/5(y-8)=11 | | TAN*.0833= | | 0=12x^2-10x+108 | | 3x-12=11+4x | | 3/13x143 | | TAN=.0833 | | 5+3x+5+3x=5x+8+8 | | 8(15-u)=34 | | 10x-32=48+5x | | 6.4x-5+x-1.5= | | 4*(x+3)-(x-1)=1 | | -134+5x=12x+62 | | q+d=25 | | x+2x+43=360 | | x-46=74+5x | | 5(1-2x)=3-3(2-x) | | (7x-3x)*(10-3)+(3x+5)=100+10x | | -32-x=4x+28 | | 6t+25=11 | | 6c-(7+3c)=(3+c)-10 |

Equations solver categories