(8x^2)+6x+10=0

Simple and best practice solution for (8x^2)+6x+10=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 (8x^2)+6x+10=0 equation:


Simplifying
(8x2) + 6x + 10 = 0

Reorder the terms:
10 + 6x + (8x2) = 0

Solving
10 + 6x + (8x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 3x + (4x2)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 3x + (4x2))' equal to zero and attempt to solve:

Simplifying
5 + 3x + (4x2) = 0

Solving
5 + 3x + (4x2) = 0

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

Divide each side by '4'.
1.25 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 0.75x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 0.75x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 0.75x + x2 = 0 + -1.25
0.75x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
0.75x + x2 = -1.25

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -1.25 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -1.25 + 0.140625

Combine like terms: -1.25 + 0.140625 = -1.109375
0.140625 + 0.75x + x2 = -1.109375

Factor a perfect square on the left side:
((x) + 0.375)((x) + 0.375) = -1.109375

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:

| -49x^2+255+40=40 | | 264=2(x+26) | | 6+2X-5=3+2 | | 2.1x+6-4.1x=10 | | =(2x+8)+(12x+6) | | 4(2x-1.7)=2x-6.8 | | 2x+8+12x+6 = (2x+8)+(12x+6) | | -2+2K-7-3=2 | | 1.6+0.2x=0.4 | | 3.5x-55=2.8x+8 | | 10=3+2A-10-5 | | 8.1=10x+3.3 | | 49a+7=7 | | 8x-67.2=x | | 5=-2+5+3Y-1 | | = 0+(9x-3x)+3 | | 4a-3+6a-7=180 | | 32-6x=y | | 9(x-4.4)=6.3 | | You=6x-32 | | u=v-at | | =m^2-10m-39 | | -3+4-C-2=6 | | 4(x+4)+2=8x+4(x+2) | | 11(2z+10)=264 | | 6x+9=6(x-8) | | 5(x+20)=50 | | 2x-6+4x+18=180 | | =N^2+8N+7 | | (x+14)(n-9)=0 | | x+11+x+x-13+104=360 | | 14=-1(2p-8) |

Equations solver categories