3x^2+597x-5130=0

Simple and best practice solution for 3x^2+597x-5130=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+597x-5130=0 equation: 


Simplifying
3x2 + 597x + -5130 = 0

Reorder the terms:
-5130 + 597x + 3x2 = 0

Solving
-5130 + 597x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1710 + 199x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1710 + 199x + x2)' equal to zero and attempt to solve:

Simplifying
-1710 + 199x + x2 = 0

Solving
-1710 + 199x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '1710' to each side of the equation.
-1710 + 199x + 1710 + x2 = 0 + 1710

Reorder the terms:
-1710 + 1710 + 199x + x2 = 0 + 1710

Combine like terms: -1710 + 1710 = 0
0 + 199x + x2 = 0 + 1710
199x + x2 = 0 + 1710

Combine like terms: 0 + 1710 = 1710
199x + x2 = 1710

The x term is 199x.  Take half its coefficient (99.5).
Square it (9900.25) and add it to both sides.

Add '9900.25' to each side of the equation.
199x + 9900.25 + x2 = 1710 + 9900.25

Reorder the terms:
9900.25 + 199x + x2 = 1710 + 9900.25

Combine like terms: 1710 + 9900.25 = 11610.25
9900.25 + 199x + x2 = 11610.25

Factor a perfect square on the left side:
(x + 99.5)(x + 99.5) = 11610.25

Calculate the square root of the right side: 107.750870066

Break this problem into two subproblems by setting 
(x + 99.5) equal to 107.750870066 and -107.750870066.


Subproblem 1
x + 99.5 = 107.750870066

Simplifying
x + 99.5 = 107.750870066

Reorder the terms:
99.5 + x = 107.750870066

Solving
99.5 + x = 107.750870066

Solving for variable 'x'.

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

Add '-99.5' to each side of the equation.
99.5 + -99.5 + x = 107.750870066 + -99.5

Combine like terms: 99.5 + -99.5 = 0.0
0.0 + x = 107.750870066 + -99.5
x = 107.750870066 + -99.5

Combine like terms: 107.750870066 + -99.5 = 8.250870066
x = 8.250870066

Simplifying
x = 8.250870066


Subproblem 2
x + 99.5 = -107.750870066

Simplifying
x + 99.5 = -107.750870066

Reorder the terms:
99.5 + x = -107.750870066

Solving
99.5 + x = -107.750870066

Solving for variable 'x'.

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

Add '-99.5' to each side of the equation.
99.5 + -99.5 + x = -107.750870066 + -99.5

Combine like terms: 99.5 + -99.5 = 0.0
0.0 + x = -107.750870066 + -99.5
x = -107.750870066 + -99.5

Combine like terms: -107.750870066 + -99.5 = -207.250870066
x = -207.250870066

Simplifying
x = -207.250870066


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.250870066, -207.250870066}
Solution
x = {8.250870066, -207.250870066}

See similar equations:

| (x*0.25)+x=60 | | 65-y=272 | | 7x+4=2x-1*3 | | 3x^4-48y^4=0 | | (5+u)(4u+3)=0 | | -4x-15=21 | | 7x=4*3 | | 8m=n | | 6b+3=4+4b-6b | | 3x^2+3x=-4 | | 7.5-(-6.9)= | | 7y+5x=6 | | -x^2+x+24=0 | | A(n)=22+(n-1)11 | | 9x-4=4(x-6) | | 3/2(v+7)=5/2-v | | 78=3 | | 3/4y-1=-7/8y+4 | | 12x-4y=-4 | | h=-16t^2+480t | | 6+2m=10 | | y=-16x^2+480x | | 75/60 | | 4x^2=154 | | Y=12/5x+8 | | 6=.78(6+x) | | x-47=34 | | x+22=76 | | x-31=150 | | 2x-12/-2=7x+5/3 | | x-18=100 | | 2x-12/2=7x+5/3 |

Equations solver categories