3x^2+5x+10=0

Simple and best practice solution for 3x^2+5x+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 3x^2+5x+10=0 equation:


Simplifying
3x2 + 5x + 10 = 0

Reorder the terms:
10 + 5x + 3x2 = 0

Solving
10 + 5x + 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'.
3.333333333 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 1.666666667x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 1.666666667x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 1.666666667x + x2 = 0 + -3.333333333
1.666666667x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
1.666666667x + x2 = -3.333333333

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = -3.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = -3.333333333 + 0.6944444447

Combine like terms: -3.333333333 + 0.6944444447 = -2.6388888883
0.6944444447 + 1.666666667x + x2 = -2.6388888883

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = -2.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| y^5(x)=2.25 | | x*7=686 | | 12x^3-28x^2+3x-7= | | -5*5=x | | x-63=20 | | 4*5-3-8*5+1=-5*5+9 | | 6y-36=2(y+2) | | 63+x=-22 | | 8c+16d=14000 | | -2(w+9)=8w-8 | | 4x-3-8x+1=-5x=9 | | n+(n+2)+(n+4)=39 | | 175=x^2+3x | | X^2+x=175 | | X^2+3x=175 | | (4x)(2x)= | | 2x+6=8x | | 12u^3+4u^2-96u= | | 3x-2=-5x | | 2y+5*2= | | 40=r(r-3) | | 12w^2-13w=35 | | (3x-8)(x+6)= | | 1+c=3 | | 0.05(0.3m+35n)=0.8(-0.09n-22m) | | 0.08(0.3m+35n)=0.8(-0.09n-22n) | | .66x+1.33=-.66 | | 50.5(0.3m+35n)=0.8(-0.09n-22m) | | .66x+1.33=-66 | | 2w-3+3(w-4)=-5(w-6) | | 4x-3=6x+8 | | 6(x+9)+5=59 |

Equations solver categories