3x^2-6x+4=18

Simple and best practice solution for 3x^2-6x+4=18 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^2-6x+4=18 equation:


Simplifying
3x2 + -6x + 4 = 18

Reorder the terms:
4 + -6x + 3x2 = 18

Solving
4 + -6x + 3x2 = 18

Solving for variable 'x'.

Reorder the terms:
4 + -18 + -6x + 3x2 = 18 + -18

Combine like terms: 4 + -18 = -14
-14 + -6x + 3x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-14 + -6x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-4.666666667 + -2x + x2 = 0

Move the constant term to the right:

Add '4.666666667' to each side of the equation.
-4.666666667 + -2x + 4.666666667 + x2 = 0 + 4.666666667

Reorder the terms:
-4.666666667 + 4.666666667 + -2x + x2 = 0 + 4.666666667

Combine like terms: -4.666666667 + 4.666666667 = 0.000000000
0.000000000 + -2x + x2 = 0 + 4.666666667
-2x + x2 = 0 + 4.666666667

Combine like terms: 0 + 4.666666667 = 4.666666667
-2x + x2 = 4.666666667

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 4.666666667 + 1

Reorder the terms:
1 + -2x + x2 = 4.666666667 + 1

Combine like terms: 4.666666667 + 1 = 5.666666667
1 + -2x + x2 = 5.666666667

Factor a perfect square on the left side:
(x + -1)(x + -1) = 5.666666667

Calculate the square root of the right side: 2.380476143

Break this problem into two subproblems by setting 
(x + -1) equal to 2.380476143 and -2.380476143.

Subproblem 1

x + -1 = 2.380476143 Simplifying x + -1 = 2.380476143 Reorder the terms: -1 + x = 2.380476143 Solving -1 + x = 2.380476143 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 2.380476143 + 1 Combine like terms: -1 + 1 = 0 0 + x = 2.380476143 + 1 x = 2.380476143 + 1 Combine like terms: 2.380476143 + 1 = 3.380476143 x = 3.380476143 Simplifying x = 3.380476143

Subproblem 2

x + -1 = -2.380476143 Simplifying x + -1 = -2.380476143 Reorder the terms: -1 + x = -2.380476143 Solving -1 + x = -2.380476143 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -2.380476143 + 1 Combine like terms: -1 + 1 = 0 0 + x = -2.380476143 + 1 x = -2.380476143 + 1 Combine like terms: -2.380476143 + 1 = -1.380476143 x = -1.380476143 Simplifying x = -1.380476143

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.380476143, -1.380476143}

See similar equations:

| -x+8x= | | -21=7r+56 | | 17d+24d+13d=200 | | 4x-12/3-x= | | -5*7=28 | | -7y+42=42 | | 80=5*ln(x)+7 | | 1.1x=x+20 | | -96-12y=60 | | -0.5=b+4 | | t^2-t^3=0 | | 5x-15x=-40 | | -48=-6x-18 | | 5-4t=8 | | 5x-10=10x+6 | | -2x+11=-4x+29 | | 6+12x=17+x | | 2=ln(7x) | | 2(5y-7)=6 | | 12x+8=14x+2 | | 5+m=5 | | 2(3y-1)=14 | | x+2y+4z=6 | | 7x=5x-1 | | 96=2(3w)+2(l) | | 22x-10=9x-106 | | 2(2y-4)=8 | | 15x-6y=54 | | 3x+5=4y+4 | | (5/3)x | | -13x-7=-9x-15 | | -15=-5(3x-3) |

Equations solver categories