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

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

Solving
3x = -10 + 9x2

Solving for variable 'x'.

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

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

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

Combine like terms: 9x2 + -9x2 = 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 = 1.13888888879
0.02777777779 + -0.3333333333x + x2 = 1.13888888879

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = 1.13888888879

Calculate the square root of the right side: 1.067187373

Break this problem into two subproblems by setting 
(x + -0.1666666667) equal to 1.067187373 and -1.067187373.

Subproblem 1

x + -0.1666666667 = 1.067187373 Simplifying x + -0.1666666667 = 1.067187373 Reorder the terms: -0.1666666667 + x = 1.067187373 Solving -0.1666666667 + x = 1.067187373 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + x = 1.067187373 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x = 1.067187373 + 0.1666666667 x = 1.067187373 + 0.1666666667 Combine like terms: 1.067187373 + 0.1666666667 = 1.2338540397 x = 1.2338540397 Simplifying x = 1.2338540397

Subproblem 2

x + -0.1666666667 = -1.067187373 Simplifying x + -0.1666666667 = -1.067187373 Reorder the terms: -0.1666666667 + x = -1.067187373 Solving -0.1666666667 + x = -1.067187373 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + x = -1.067187373 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + x = -1.067187373 + 0.1666666667 x = -1.067187373 + 0.1666666667 Combine like terms: -1.067187373 + 0.1666666667 = -0.9005207063 x = -0.9005207063 Simplifying x = -0.9005207063

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.2338540397, -0.9005207063}

See similar equations:

| 3Z/7-1=10 | | x*dx+(y-2)*dy=0 | | .95n=n+4 | | 5(3x+2)-(8x-4)=16-3 | | 285.9912=2*3.14*r^2+2*3.14*r*4 | | 4(X+1)=7X+2-3X+2 | | x+(-34)=2x+(-6) | | 27=2x+x | | 9x+2+32+3x=90 | | -(-x+4)+12=3x+(5-x) | | -7x^2+x+9=-6x | | 4xy(6x+8y)= | | 15x-7y=-49 | | 9(x-2)=63 | | 0=-5sin(t) | | 5x-18=6x-24 | | 23.2=7.2 | | F(x)=2x^3-9x^2+12x-5 | | a+4=-2a+3 | | 4x^3-160x^2+1500x-4000=0 | | (7x-4)=0 | | 4(10x-5)=3(-6x-3) | | -4b+16=180 | | 2x^2+3x+9=74 | | secx=2/3 | | 4(5-6x)(8x+9)=0 | | 3w+4w-6= | | 18/x=4,5 | | -35/1x1/105 | | -8+0.40g=-2 | | 4*[9-5(-2)]+3(3x-5)=2*[3(x-5)+17]-4 | | 5h-3g+2g+h= |

Equations solver categories