3x^2+19x-5.3=0

Simple and best practice solution for 3x^2+19x-5.3=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-5.3=0 equation: 


Simplifying
3x2 + 19x + -5.3 = 0

Reorder the terms:
-5.3 + 19x + 3x2 = 0

Solving
-5.3 + 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'.
-1.766666667 + 6.333333333x + x2 = 0

Move the constant term to the right:

Add '1.766666667' to each side of the equation.
-1.766666667 + 6.333333333x + 1.766666667 + x2 = 0 + 1.766666667

Reorder the terms:
-1.766666667 + 1.766666667 + 6.333333333x + x2 = 0 + 1.766666667

Combine like terms: -1.766666667 + 1.766666667 = 0.000000000
0.000000000 + 6.333333333x + x2 = 0 + 1.766666667
6.333333333x + x2 = 0 + 1.766666667

Combine like terms: 0 + 1.766666667 = 1.766666667
6.333333333x + x2 = 1.766666667

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 = 1.766666667 + 10.02777778

Reorder the terms:
10.02777778 + 6.333333333x + x2 = 1.766666667 + 10.02777778

Combine like terms: 1.766666667 + 10.02777778 = 11.794444447
10.02777778 + 6.333333333x + x2 = 11.794444447

Factor a perfect square on the left side:
(x + 3.166666667)(x + 3.166666667) = 11.794444447

Calculate the square root of the right side: 3.43430407

Break this problem into two subproblems by setting 
(x + 3.166666667) equal to 3.43430407 and -3.43430407.


Subproblem 1
x + 3.166666667 = 3.43430407

Simplifying
x + 3.166666667 = 3.43430407

Reorder the terms:
3.166666667 + x = 3.43430407

Solving
3.166666667 + x = 3.43430407

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 = 3.43430407 + -3.166666667

Combine like terms: 3.166666667 + -3.166666667 = 0.000000000
0.000000000 + x = 3.43430407 + -3.166666667
x = 3.43430407 + -3.166666667

Combine like terms: 3.43430407 + -3.166666667 = 0.267637403
x = 0.267637403

Simplifying
x = 0.267637403


Subproblem 2
x + 3.166666667 = -3.43430407

Simplifying
x + 3.166666667 = -3.43430407

Reorder the terms:
3.166666667 + x = -3.43430407

Solving
3.166666667 + x = -3.43430407

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 = -3.43430407 + -3.166666667

Combine like terms: 3.166666667 + -3.166666667 = 0.000000000
0.000000000 + x = -3.43430407 + -3.166666667
x = -3.43430407 + -3.166666667

Combine like terms: -3.43430407 + -3.166666667 = -6.600970737
x = -6.600970737

Simplifying
x = -6.600970737


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.267637403, -6.600970737}

See similar equations:

| 5+v/4=-5.24 | | 12+4x-x^2=0 | | 31+5y-3=17y-11-4y | | 4.4+x/5=-8.1 | | 0.2y+1.3x-0.7=0 | | x=9.0+(-0.75) | | 2x+5395=210355-5395 | | 9.0y+(-1y)=6.3+(-0.4y) | | 9.0y+(-1y)=6.3+0.4 | | x-2(x+2)= | | 1.3x+0.2y-0.7=0 | | y=-3.9x-2.9 | | y=-2.8x+5.8 | | y=2.3x-0.5 | | 5w+15=9(w-1) | | 2x+0.3=-5x+43.9 | | -2(x-1)=2x-14 | | 5v+31=7(v+5) | | 15x+36=249 | | -4x+12=-4(2x+6) | | 12=8(x-6)+7x | | 29x+3y=-23 | | -19=5(y+5)+6y | | -2(u+4)=-4u+12 | | x^2+5x+94=0 | | 16=2(v-7)+3v | | 9x-9=-9(x-7) | | 2(w+3)-6w=10 | | 7+1=68 | | X-1/2=13/2+2x | | x=0.167t-0.67 | | x=0.167t-0.67fort |

Equations solver categories