3x^2-14x+48=0

Simple and best practice solution for 3x^2-14x+48=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^2-14x+48=0 equation:


Simplifying
3x2 + -14x + 48 = 0

Reorder the terms:
48 + -14x + 3x2 = 0

Solving
48 + -14x + 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'.
16 + -4.666666667x + x2 = 0

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -4.666666667x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + -4.666666667x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4.666666667x + x2 = 0 + -16
-4.666666667x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
-4.666666667x + x2 = -16

The x term is -4.666666667x.  Take half its coefficient (-2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
-4.666666667x + 5.444444448 + x2 = -16 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667x + x2 = -16 + 5.444444448

Combine like terms: -16 + 5.444444448 = -10.555555552
5.444444448 + -4.666666667x + x2 = -10.555555552

Factor a perfect square on the left side:
(x + -2.333333334)(x + -2.333333334) = -10.555555552

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6y=8x+28 | | -2x^2-4x-5=0 | | 4*(x-8)=120/10 | | 5q+2=17 | | 2x-2-4+8x-2=7x-2-8+3x-2 | | .8x+12=4x+44 | | 5+4x= | | 19x+3+4+12x=100 | | 4x-4/8=2x+1/5 | | 3(8)=24 | | (1/3)*(3x+1)=1/2 | | 45=5k+5 | | -x=1/2 | | 2/3=7/x | | 15x^2-70x+240=0 | | 6-7x=121-42x | | -2y+11=-3(2y+7) | | -3(22-b)+3(b-2)= | | 21-10+t+5+t+15+2t=360 | | 5=-9-p/4 | | 900*6-60+189= | | 3(2x-7)=6x | | 16t^2+24t+16=0 | | 2r+3+3r-3+2r+6+4r-6=360 | | x-4=20/5 | | 3x-3=10-4x | | 3y+3x=6 | | 4/3x=32 | | 4a+5a-6+3a+2+2a+8=360 | | 1/2=6/10 | | 9x-27y+9=0 | | 112x-4x^3=0 |

Equations solver categories