4x+2=6x^2+3

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


Simplifying
4x + 2 = 6x2 + 3

Reorder the terms:
2 + 4x = 6x2 + 3

Reorder the terms:
2 + 4x = 3 + 6x2

Solving
2 + 4x = 3 + 6x2

Solving for variable 'x'.

Reorder the terms:
2 + -3 + 4x + -6x2 = 3 + 6x2 + -3 + -6x2

Combine like terms: 2 + -3 = -1
-1 + 4x + -6x2 = 3 + 6x2 + -3 + -6x2

Reorder the terms:
-1 + 4x + -6x2 = 3 + -3 + 6x2 + -6x2

Combine like terms: 3 + -3 = 0
-1 + 4x + -6x2 = 0 + 6x2 + -6x2
-1 + 4x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-1 + 4x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
0.1666666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.6666666667x + -0.1666666667 + x2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.6666666667x + x2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.6666666667x + x2 = 0 + -0.1666666667
-0.6666666667x + x2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-0.6666666667x + x2 = -0.1666666667

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 = -0.1666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -0.1666666667 + 0.1111111112

Combine like terms: -0.1666666667 + 0.1111111112 = -0.0555555555
0.1111111112 + -0.6666666667x + x2 = -0.0555555555

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -0.0555555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3(x+1.3)=2x+7.3 | | 7x-26=44 | | 6x+3=10x^2+5x | | 36x^2-162x-324=0 | | 8m+1=-23 | | 175-2x=25x+19 | | 4cos^2+15cos-4=0 | | x^2+5x=4.5 | | 3(y-6)+2(y+3)=28 | | 75=5x*3 | | 5a+10=-10 | | x^2-9x+4=0 | | 10-7x=190-42x | | -10=5a+10 | | 3y^2-15y+12=0 | | 5x+19=15x-81 | | 4x-4+2(2x)+13=-3-5x+(16-6) | | 4x+8(40+90)=400-2890 | | 3y^2-3y-36=0 | | 5x+3=9x+15 | | 4w^2-10w-40=0 | | N=-78.80+0.04x | | 3x+1=x+6 | | -8c+20=4 | | 14=-6x-10 | | x+x+5+(180-3x-55)=180 | | 5x+2-10=3x-16 | | 8=8x-40 | | 7-40y=17 | | 4n+8=5n+3 | | 3x^2+8x+16=0 | | -8=10z+5 |

Equations solver categories