6x^2+18x+56=

Simple and best practice solution for 6x^2+18x+56= 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 6x^2+18x+56= equation: 


Simplifying
6x2 + 18x + 56 = 0

Reorder the terms:
56 + 18x + 6x2 = 0

Solving
56 + 18x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + 9x + 3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(28 + 9x + 3x2)' equal to zero and attempt to solve:

Simplifying
28 + 9x + 3x2 = 0

Solving
28 + 9x + 3x2 = 0

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

Divide each side by '3'.
9.333333333 + 3x + x2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + 3x + -9.333333333 + x2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + 3x + x2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + 3x + x2 = 0 + -9.333333333
3x + x2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
3x + x2 = -9.333333333

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 = -9.333333333 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -9.333333333 + 2.25

Combine like terms: -9.333333333 + 2.25 = -7.083333333
2.25 + 3x + x2 = -7.083333333

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -7.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| z/10=40 | | sa=10 | | 6(x+8)-8x=28 | | 6x+y+8=0 | | sz=10 | | 4(5+3y)-8=40 | | 3h-5=7h+11 | | 2(x-4x)+2x=6x-2 | | 5y-2=2+19 | | 12c-7c= | | r=19-2r+29 | | -9+4r=r-3-6 | | x+78+x=434 | | 28-1/30(4i)=21-1/30(3i) | | 0.2m=0.3(m+7) | | 2c+(4+c)+c=28 | | n/5+9=-11 | | 4=3x+6y | | 3.25x+.75=y | | -2x+-14=9x | | 2x+1=3(x-4)+9 | | (A+8)/7A+(B-9)/9B | | sqrt(u-6)=7 | | 5x+2x-3=8n-3(n-4) | | Y-3+4=5 | | 6(x-5)=-7(x+8) | | 4(3y-4)=-4y+48 | | 4x+4=20-2x | | 8(x+3)=-3(x-41) | | 2y+6=5x-11 | | -6y-3y=36 | | 8(x+3)=-3(x-4) |

Equations solver categories