3x^2+10x+28=0

Simple and best practice solution for 3x^2+10x+28=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+10x+28=0 equation: 


Simplifying
3x2 + 10x + 28 = 0

Reorder the terms:
28 + 10x + 3x2 = 0

Solving
28 + 10x + 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'.
9.333333333 + 3.333333333x + x2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + 3.333333333x + -9.333333333 + x2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + 3.333333333x + x2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + 3.333333333x + x2 = 0 + -9.333333333
3.333333333x + x2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
3.333333333x + x2 = -9.333333333

The x term is 3.333333333x.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333x + 2.777777779 + x2 = -9.333333333 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333x + x2 = -9.333333333 + 2.777777779

Combine like terms: -9.333333333 + 2.777777779 = -6.555555554
2.777777779 + 3.333333333x + x2 = -6.555555554

Factor a perfect square on the left side:
(x + 1.666666667)(x + 1.666666667) = -6.555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| X^4-36x^2=0 | | 3(2)-4y=10 | | S+1=2(B+1) | | S=10+B | | 3x^2+2x+x=21 | | 16-8x=5x-2(2x+1) | | 1(2)+6y=-4 | | x+6y=-4 | | X^2+Y^2-12X+14Y+36=0 | | X^2+Y^2+12X+14Y+36=0 | | x^3+3x^2+4x-12= | | 6(8n+30)+7(n+1)= | | x=3x-10 | | 16+4(3c-1)= | | 8y^2-4y-20y+10= | | 10+4(2c-1)= | | 8y^2-4y-20+10= | | -2(x-5)+x=2(2-x) | | 5x+9=-x+9 | | 10x-15+5=-45 | | 1.30*5=n | | 3+2x+-5x=-2+5x+-5x | | 3+2x=-2+5x | | 6+3(2x-5)=-39 | | 5r=4r-3 | | 11-7(x+7)=8x-5 | | x(x-5)=x^2+9+8x | | x(x-5)=x^2+8x+9 | | x^2+0.2*x-6=0 | | m^2(5m+1)=6m | | 2w+3w= | | 8x-7=-2+5 |

Equations solver categories