2x*x-6x+3=0

Simple and best practice solution for 2x*x-6x+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 2x*x-6x+3=0 equation:


Simplifying
2x * x + -6x + 3 = 0

Multiply x * x
2x2 + -6x + 3 = 0

Reorder the terms:
3 + -6x + 2x2 = 0

Solving
3 + -6x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
1.5 + -3x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -3x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -3x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -3x + x2 = 0 + -1.5
-3x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-3x + x2 = -1.5

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -1.5 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -1.5 + 2.25

Combine like terms: -1.5 + 2.25 = 0.75
2.25 + -3x + x2 = 0.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 0.75

Calculate the square root of the right side: 0.866025404

Break this problem into two subproblems by setting 
(x + -1.5) equal to 0.866025404 and -0.866025404.

Subproblem 1

x + -1.5 = 0.866025404 Simplifying x + -1.5 = 0.866025404 Reorder the terms: -1.5 + x = 0.866025404 Solving -1.5 + x = 0.866025404 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 0.866025404 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 0.866025404 + 1.5 x = 0.866025404 + 1.5 Combine like terms: 0.866025404 + 1.5 = 2.366025404 x = 2.366025404 Simplifying x = 2.366025404

Subproblem 2

x + -1.5 = -0.866025404 Simplifying x + -1.5 = -0.866025404 Reorder the terms: -1.5 + x = -0.866025404 Solving -1.5 + x = -0.866025404 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -0.866025404 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -0.866025404 + 1.5 x = -0.866025404 + 1.5 Combine like terms: -0.866025404 + 1.5 = 0.633974596 x = 0.633974596 Simplifying x = 0.633974596

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.366025404, 0.633974596}

See similar equations:

| 5(2x+6)=4(2x+5)+3x | | 7x+7=3x+15 | | -6w+3(w-3)=-12 | | -7p-12=-4p+3[-4-p] | | 29=4u-11 | | x/5-11 | | 5x*x+5x=0 | | -22=2[x-10] | | r+11+8r=11r | | 5x-8=30x+2 | | x=-3(y+1) | | 2v+12=-7(v-3) | | 4x^2+8=136 | | abs(8-2x)=x+5 | | 5[x-4]=-60 | | -21-8a=-1+6[4-5a] | | 2x^2-6x+7=y | | 6x^2-6=594 | | 16-4y=0 | | h^2+14=9h | | 14y-3x=90 | | -35=-5u+2(u-4) | | 0.5(4x-10)+5=x-10 | | -56=7[x-3] | | X^2/2=50 | | -3.876+2x=-9.34 | | 3x+48=6x-9 | | -6[k+1]=-3-[6k+3] | | 5y-6=7y-5 | | 13.71+0.12h=14.21-0.14h | | 3.876+2x=-9.34 | | p/24=20/18 |

Equations solver categories