3x^2+5x+0.6=0

Simple and best practice solution for 3x^2+5x+0.6=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+5x+0.6=0 equation:


Simplifying
3x2 + 5x + 0.6 = 0

Reorder the terms:
0.6 + 5x + 3x2 = 0

Solving
0.6 + 5x + 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'.
0.2 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + 1.666666667x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + 1.666666667x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 1.666666667x + x2 = 0 + -0.2
1.666666667x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
1.666666667x + x2 = -0.2

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = -0.2 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = -0.2 + 0.6944444447

Combine like terms: -0.2 + 0.6944444447 = 0.4944444447
0.6944444447 + 1.666666667x + x2 = 0.4944444447

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = 0.4944444447

Calculate the square root of the right side: 0.703167437

Break this problem into two subproblems by setting 
(x + 0.8333333335) equal to 0.703167437 and -0.703167437.

Subproblem 1

x + 0.8333333335 = 0.703167437 Simplifying x + 0.8333333335 = 0.703167437 Reorder the terms: 0.8333333335 + x = 0.703167437 Solving 0.8333333335 + x = 0.703167437 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + x = 0.703167437 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + x = 0.703167437 + -0.8333333335 x = 0.703167437 + -0.8333333335 Combine like terms: 0.703167437 + -0.8333333335 = -0.1301658965 x = -0.1301658965 Simplifying x = -0.1301658965

Subproblem 2

x + 0.8333333335 = -0.703167437 Simplifying x + 0.8333333335 = -0.703167437 Reorder the terms: 0.8333333335 + x = -0.703167437 Solving 0.8333333335 + x = -0.703167437 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + x = -0.703167437 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + x = -0.703167437 + -0.8333333335 x = -0.703167437 + -0.8333333335 Combine like terms: -0.703167437 + -0.8333333335 = -1.5365007705 x = -1.5365007705 Simplifying x = -1.5365007705

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.1301658965, -1.5365007705}

See similar equations:

| 2(2x+5)+7=5+2x | | 5(2x-3)+3(5x-6)+13=8(3x+7)-63 | | x+7.4+6=70 | | 4x^3-6x^2-36x=0 | | y-(-2)=-5/7(x-5) | | 85+108+78+30x-1=360 | | Y=3.5x+852 | | 3(y+2)-2(2y-2)=10 | | x+y=28.4 | | tan24=8/x | | 7/9=b/b-6 | | 0.5-1=1.5 | | 3x-2x+2=10 | | X(x+3)-x(3-x)=32 | | (1/8)^x=1/512 | | 2x=x+8+5 | | f(x)=(a+1)x^2-2ax+(a-2) | | 4/4=r-3/6 | | 4x+20=500 | | 3x-5=-(x+1)-4 | | 7g^2+9g=0 | | 1-4y+5=2y+10-4y | | mover+3=-1 | | 2/3=x/30 | | 14n-30n= | | 25=17/X | | 0.5Q+6=Q | | 6(c-1)= | | -4(-3)=-12 | | 2x(x^2+3)=0 | | .7/x=1/0.5 | | 6/b-1=7/9 |

Equations solver categories