3x^2-18x-19=0

Simple and best practice solution for 3x^2-18x-19=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^2-18x-19=0 equation: 


Simplifying
3x2 + -18x + -19 = 0

Reorder the terms:
-19 + -18x + 3x2 = 0

Solving
-19 + -18x + 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'.
-6.333333333 + -6x + x2 = 0

Move the constant term to the right:

Add '6.333333333' to each side of the equation.
-6.333333333 + -6x + 6.333333333 + x2 = 0 + 6.333333333

Reorder the terms:
-6.333333333 + 6.333333333 + -6x + x2 = 0 + 6.333333333

Combine like terms: -6.333333333 + 6.333333333 = 0.000000000
0.000000000 + -6x + x2 = 0 + 6.333333333
-6x + x2 = 0 + 6.333333333

Combine like terms: 0 + 6.333333333 = 6.333333333
-6x + x2 = 6.333333333

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = 6.333333333 + 9

Reorder the terms:
9 + -6x + x2 = 6.333333333 + 9

Combine like terms: 6.333333333 + 9 = 15.333333333
9 + -6x + x2 = 15.333333333

Factor a perfect square on the left side:
(x + -3)(x + -3) = 15.333333333

Calculate the square root of the right side: 3.915780041

Break this problem into two subproblems by setting 
(x + -3) equal to 3.915780041 and -3.915780041.


Subproblem 1
x + -3 = 3.915780041

Simplifying
x + -3 = 3.915780041

Reorder the terms:
-3 + x = 3.915780041

Solving
-3 + x = 3.915780041

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = 3.915780041 + 3

Combine like terms: -3 + 3 = 0
0 + x = 3.915780041 + 3
x = 3.915780041 + 3

Combine like terms: 3.915780041 + 3 = 6.915780041
x = 6.915780041

Simplifying
x = 6.915780041


Subproblem 2
x + -3 = -3.915780041

Simplifying
x + -3 = -3.915780041

Reorder the terms:
-3 + x = -3.915780041

Solving
-3 + x = -3.915780041

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x = -3.915780041 + 3

Combine like terms: -3 + 3 = 0
0 + x = -3.915780041 + 3
x = -3.915780041 + 3

Combine like terms: -3.915780041 + 3 = -0.915780041
x = -0.915780041

Simplifying
x = -0.915780041


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.915780041, -0.915780041}

See similar equations:

| 2(1+x)=3(x+4) | | 9x+70=360 | | 2x(x-4)(x+8)=0 | | 3(5p-3)=5(p-1) | | 14x-3(2x-5)+2(5x-3)=6-5(2x-9) | | 3(y+30)=6y-4 | | 5(v-5)+3(v+2)=-4v+7+3v-2 | | 3(x+5)=5x+2.5 | | 117=6x-12+3x+3 | | (34-2)y=8 | | 8(5x-3)+4(1-8x)=3x-8+3x-2 | | 4u^2-2u=0 | | 10x5/2 | | 2p-10)/(8p-40) | | 6(9d)=3d | | 180=x+(0.05+x) | | (9x-2y)-(6x+2y)= | | 6(x-4)-4=8 | | 4logx-3logx=12 | | 238=16t^2+32t | | Xy=5x-2 | | x=13+0.75y | | 4lgx^3-3lgx^2=12 | | (5x-3)/3=4 | | 4logx^3-3logx^2=12 | | (-7)=g+(-5) | | 5a+1=8 | | 5a+56=-56 | | U-24=(-27) | | 5x+2y+30=0 | | 28=w-(-5) | | (12.50-1.95)x=125 |

Equations solver categories