3x-9x^2=10

Simple and best practice solution for 3x-9x^2=10 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-9x^2=10 equation:


Simplifying
3x + -9x2 = 10

Solving
3x + -9x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 3x + -9x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 3x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
1.111111111 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1.111111111' to each side of the equation.
1.111111111 + -0.3333333333x + -1.111111111 + x2 = 0 + -1.111111111

Reorder the terms:
1.111111111 + -1.111111111 + -0.3333333333x + x2 = 0 + -1.111111111

Combine like terms: 1.111111111 + -1.111111111 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -1.111111111
-0.3333333333x + x2 = 0 + -1.111111111

Combine like terms: 0 + -1.111111111 = -1.111111111
-0.3333333333x + x2 = -1.111111111

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -1.111111111 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -1.111111111 + 0.02777777779

Combine like terms: -1.111111111 + 0.02777777779 = -1.08333333321
0.02777777779 + -0.3333333333x + x2 = -1.08333333321

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -1.08333333321

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| h(x)=1/x | | Xsquared=4000 | | 20u^2-88u+32=0 | | 1=2x+4d-d+7i | | x^3-4x=21 | | log[4](36)+log[4](2x+3)=log[4](8x-14) | | 2log[4](6)+log[4](2x+3)=log[4](8x-14) | | (2x+1)(2x+3)=99 | | 0=2u-20 | | 5x/6=11/4=17/3 | | 6x^2-12x-x=0 | | 6=3n/5 | | 9=3(v+2) | | (6-i)-(9+7i)= | | 34=2w+10 | | f(15)=2.479g | | f(10)=2.479g | | 10=2(m+2) | | 3-2-210=n | | 3-2-n=210 | | 11y^2-52y+46=0 | | 3(v+1)=9 | | 3-2-210=210 | | (8/4v-24)-1=2/v-6 | | (8/4v-24)-1=(2/v-6) | | 2(v+1)=8 | | f(5)=2.479(5) | | 3-2+n-210=210 | | f(5)=2.479g | | 3-2+210-n=210 | | 10(g)=2.479g | | 2-3+n=210 |

Equations solver categories