3x+6=10x^2

Simple and best practice solution for 3x+6=10x^2 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+6=10x^2 equation:


Simplifying
3x + 6 = 10x2

Reorder the terms:
6 + 3x = 10x2

Solving
6 + 3x = 10x2

Solving for variable 'x'.

Combine like terms: 10x2 + -10x2 = 0
6 + 3x + -10x2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
-0.6 + -0.3x + x2 = 0

Move the constant term to the right:

Add '0.6' to each side of the equation.
-0.6 + -0.3x + 0.6 + x2 = 0 + 0.6

Reorder the terms:
-0.6 + 0.6 + -0.3x + x2 = 0 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + -0.3x + x2 = 0 + 0.6
-0.3x + x2 = 0 + 0.6

Combine like terms: 0 + 0.6 = 0.6
-0.3x + x2 = 0.6

The x term is -0.3x.  Take half its coefficient (-0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
-0.3x + 0.0225 + x2 = 0.6 + 0.0225

Reorder the terms:
0.0225 + -0.3x + x2 = 0.6 + 0.0225

Combine like terms: 0.6 + 0.0225 = 0.6225
0.0225 + -0.3x + x2 = 0.6225

Factor a perfect square on the left side:
(x + -0.15)(x + -0.15) = 0.6225

Calculate the square root of the right side: 0.788986692

Break this problem into two subproblems by setting 
(x + -0.15) equal to 0.788986692 and -0.788986692.

Subproblem 1

x + -0.15 = 0.788986692 Simplifying x + -0.15 = 0.788986692 Reorder the terms: -0.15 + x = 0.788986692 Solving -0.15 + x = 0.788986692 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.15' to each side of the equation. -0.15 + 0.15 + x = 0.788986692 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + x = 0.788986692 + 0.15 x = 0.788986692 + 0.15 Combine like terms: 0.788986692 + 0.15 = 0.938986692 x = 0.938986692 Simplifying x = 0.938986692

Subproblem 2

x + -0.15 = -0.788986692 Simplifying x + -0.15 = -0.788986692 Reorder the terms: -0.15 + x = -0.788986692 Solving -0.15 + x = -0.788986692 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.15' to each side of the equation. -0.15 + 0.15 + x = -0.788986692 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + x = -0.788986692 + 0.15 x = -0.788986692 + 0.15 Combine like terms: -0.788986692 + 0.15 = -0.638986692 x = -0.638986692 Simplifying x = -0.638986692

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.938986692, -0.638986692}

See similar equations:

| (-4+10z)2= | | d^2+16d+63=0 | | -x-3/2=5 | | 4*2+5-2= | | 4/21=x/87 | | -4(3-4y)= | | a^3=a | | x=1/11=7/11 | | x/6-x-6/3=1-x-8/4 | | x^4+2x^3+5x^2+10x=0 | | 710=42y | | 3(4x+1)-6=9 | | 6g+7=2g+20 | | 21=7q-7 | | t^2+3t+400=0 | | 8Y-15=5Y+3 | | 12x-6+16x+24= | | 0.75(8x-4)=-3 | | 4x+5x+54-2x=89 | | 6x+7=2g+20 | | 1.5+6=-6 | | 3x+5+4+5x-8+6x=-13 | | (xy^2+x)dx+(xy^2-y)dy=0 | | 6r^2-r-70=0 | | 0.2=10x | | (4x^5/y)^-2= | | 2x+8-4x+3x-6x^2+7= | | 2x^3+6x^2+7x+21= | | w+(w-3)=185 | | -8+14=-w-w | | w+(w-3)=175 | | x^2+3y^2-4xy+4=0 |

Equations solver categories