3x^2+19x-6.3=0

Simple and best practice solution for 3x^2+19x-6.3=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+19x-6.3=0 equation: 


Simplifying
3x2 + 19x + -6.3 = 0

Reorder the terms:
-6.3 + 19x + 3x2 = 0

Solving
-6.3 + 19x + 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'.
-2.1 + 6.333333333x + x2 = 0

Move the constant term to the right:

Add '2.1' to each side of the equation.
-2.1 + 6.333333333x + 2.1 + x2 = 0 + 2.1

Reorder the terms:
-2.1 + 2.1 + 6.333333333x + x2 = 0 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 6.333333333x + x2 = 0 + 2.1
6.333333333x + x2 = 0 + 2.1

Combine like terms: 0 + 2.1 = 2.1
6.333333333x + x2 = 2.1

The x term is 6.333333333x.  Take half its coefficient (3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
6.333333333x + 10.02777778 + x2 = 2.1 + 10.02777778

Reorder the terms:
10.02777778 + 6.333333333x + x2 = 2.1 + 10.02777778

Combine like terms: 2.1 + 10.02777778 = 12.12777778
10.02777778 + 6.333333333x + x2 = 12.12777778

Factor a perfect square on the left side:
(x + 3.166666667)(x + 3.166666667) = 12.12777778

Calculate the square root of the right side: 3.482495912

Break this problem into two subproblems by setting 
(x + 3.166666667) equal to 3.482495912 and -3.482495912.


Subproblem 1
x + 3.166666667 = 3.482495912

Simplifying
x + 3.166666667 = 3.482495912

Reorder the terms:
3.166666667 + x = 3.482495912

Solving
3.166666667 + x = 3.482495912

Solving for variable 'x'.

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

Add '-3.166666667' to each side of the equation.
3.166666667 + -3.166666667 + x = 3.482495912 + -3.166666667

Combine like terms: 3.166666667 + -3.166666667 = 0.000000000
0.000000000 + x = 3.482495912 + -3.166666667
x = 3.482495912 + -3.166666667

Combine like terms: 3.482495912 + -3.166666667 = 0.315829245
x = 0.315829245

Simplifying
x = 0.315829245


Subproblem 2
x + 3.166666667 = -3.482495912

Simplifying
x + 3.166666667 = -3.482495912

Reorder the terms:
3.166666667 + x = -3.482495912

Solving
3.166666667 + x = -3.482495912

Solving for variable 'x'.

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

Add '-3.166666667' to each side of the equation.
3.166666667 + -3.166666667 + x = -3.482495912 + -3.166666667

Combine like terms: 3.166666667 + -3.166666667 = 0.000000000
0.000000000 + x = -3.482495912 + -3.166666667
x = -3.482495912 + -3.166666667

Combine like terms: -3.482495912 + -3.166666667 = -6.649162579
x = -6.649162579

Simplifying
x = -6.649162579


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.315829245, -6.649162579}

See similar equations:

| -8(28)=5x | | X-3.5=12 | | 22[g-1]=2g+8 | | a(0.885)+b(0.941)+c=0.8297 | | .40(12+y)=6-.25(9-y) | | 5+6x+3x=59 | | 2x+2=-4-4x | | X+86=x+25 | | x^2+72x-640=0 | | 6-9x=6x-8x-22 | | 2.7x-4.3=3.8 | | .4x-3(2x+1)=.5x-4 | | -10=-2r | | 6y+3=12-12y | | 81x^4y-3xy^4=0 | | ln(2.5x+1)=2x | | 1x^3+16x^2+64x=0 | | 180=(3x+12)+(7x-32) | | 31+6w+2w-18=9w+18-w-5 | | 7-2(3+4x)=19 | | 3(x+2)4x-5=7(x+1)-6 | | V-10=-1 | | -5=4-2(x-5) | | 2x^4+4x^2+4=0 | | 6n-3n=-2n+15 | | 0.6x-7=11 | | 8=g-3 | | -4k+2(5k-6)=-13k-39 | | 42-9x= | | 7x=6+5 | | 8x-6=6x-4 | | 3[2(x+1)-4]=10-5(4-2x) |

Equations solver categories