6h^2+4h+14=0

Simple and best practice solution for 6h^2+4h+14=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 6h^2+4h+14=0 equation: 


Simplifying
6h2 + 4h + 14 = 0

Reorder the terms:
14 + 4h + 6h2 = 0

Solving
14 + 4h + 6h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 2h + 3h2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + 2h + 3h2)' equal to zero and attempt to solve:

Simplifying
7 + 2h + 3h2 = 0

Solving
7 + 2h + 3h2 = 0

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

Divide each side by '3'.
2.333333333 + 0.6666666667h + h2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 0.6666666667h + -2.333333333 + h2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 0.6666666667h + h2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 0.6666666667h + h2 = 0 + -2.333333333
0.6666666667h + h2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
0.6666666667h + h2 = -2.333333333

The h term is 0.6666666667h.  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.
0.6666666667h + 0.1111111112 + h2 = -2.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667h + h2 = -2.333333333 + 0.1111111112

Combine like terms: -2.333333333 + 0.1111111112 = -2.2222222218
0.1111111112 + 0.6666666667h + h2 = -2.2222222218

Factor a perfect square on the left side:
(h + 0.3333333334)(h + 0.3333333334) = -2.2222222218

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:

| X+12=-x+2 | | 5-2=1xs | | 8x-10=8x-12+2x | | X^2+y^2-4x-60=0 | | X=4*y | | 25x=58 | | 3k^2-8k-2=0 | | b-14=-26 | | -18n+16=-14n-16 | | 2/11.40= | | 10(s-3)=-121 | | Y=-2(-4)+6 | | -1/8x-1 | | 15x-8=16x-12 | | -10(x+5)+72=14-14 | | Y=-5(-4)+9 | | X+(X+2)+(X+12)=83 | | 7n^2-10n-12=0 | | 3(f-10)=48 | | 5x-32=x+4 | | 2x^2-x+4x-2= | | y/x=0.5 | | -8y-39=-119 | | 5/3.(-3/4)= | | 10(s-7)=116 | | (x^4y^(-1/3))^(3/2) | | 150=k*10 | | 284=45-x | | -40-(-22)=x/6 | | X^2+y^2-4x-24y+115=0 | | 4(4s+2)=168 | | x+22=5x+10 |

Equations solver categories