(3x^2)-2x-18=0

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


Simplifying
(3x2) + -2x + -18 = 0

Reorder the terms:
-18 + -2x + (3x2) = 0

Solving
-18 + -2x + (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 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '6' to each side of the equation.
-6 + -0.6666666667x + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + -0.6666666667x + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -0.6666666667x + x2 = 0 + 6
-0.6666666667x + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
-0.6666666667x + x2 = 6

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = 6 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = 6 + 0.1111111112

Combine like terms: 6 + 0.1111111112 = 6.1111111112
0.1111111112 + -0.6666666667x + x2 = 6.1111111112

Factor a perfect square on the left side:
((x) + -0.3333333334)((x) + -0.3333333334) = 6.1111111112

Calculate the square root of the right side: 2.472066162

Break this problem into two subproblems by setting 
((x) + -0.3333333334) equal to 2.472066162 and -2.472066162.

Subproblem 1

(x) + -0.3333333334 = 2.472066162 Simplifying (x) + -0.3333333334 = 2.472066162 x + -0.3333333334 = 2.472066162 Reorder the terms: -0.3333333334 + x = 2.472066162 Solving -0.3333333334 + x = 2.472066162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = 2.472066162 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = 2.472066162 + 0.3333333334 x = 2.472066162 + 0.3333333334 Combine like terms: 2.472066162 + 0.3333333334 = 2.8053994954 x = 2.8053994954 Simplifying x = 2.8053994954

Subproblem 2

(x) + -0.3333333334 = -2.472066162 Simplifying (x) + -0.3333333334 = -2.472066162 x + -0.3333333334 = -2.472066162 Reorder the terms: -0.3333333334 + x = -2.472066162 Solving -0.3333333334 + x = -2.472066162 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = -2.472066162 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = -2.472066162 + 0.3333333334 x = -2.472066162 + 0.3333333334 Combine like terms: -2.472066162 + 0.3333333334 = -2.1387328286 x = -2.1387328286 Simplifying x = -2.1387328286

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.8053994954, -2.1387328286}

See similar equations:

| 8-5(3+p)=-6p-2(2-p) | | y^2-6x-4y+10=0 | | w+72+w=120 | | 4+2m+5=8-3 | | y=0.8x^2+0.8x-5 | | -2x+14=98 | | -2a+12=4a+36 | | 11-3y=5y | | x+4=134 | | 2/3=8/12 | | -0.5x+4y=-2 | | (2x+1)(x+6)=0 | | z-8z=0 | | 1.5x+0.7=10 | | -3.4+1.4x=3x+14 | | -18a^3b^2/-6ab= | | -2p+11-8=2 | | 3j+2p=24 | | 5y-2=7x-19 | | 5w+-24=11 | | 13p=-65 | | x^2y^2=100 | | 20x-7x=6x-6 | | 7y-6=1+8 | | 1x/5-40=36 | | 5m-28=m | | -4x+16=-3x | | 8(x+2)-11= | | 1/5x-40=36 | | (3xy)*(-2xyz)= | | 5z-2=2(z-3) | | (4*7*2)+(2*2*a)=72 |

Equations solver categories