0=-3x^2+12x+8

Simple and best practice solution for 0=-3x^2+12x+8 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 0=-3x^2+12x+8 equation:


Simplifying
0 = -3x2 + 12x + 8

Reorder the terms:
0 = 8 + 12x + -3x2

Solving
0 = 8 + 12x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + -8 = -8
-8 + -12x + 3x2 = 8 + 12x + -3x2 + -8 + -12x + 3x2

Reorder the terms:
-8 + -12x + 3x2 = 8 + -8 + 12x + -12x + -3x2 + 3x2

Combine like terms: 8 + -8 = 0
-8 + -12x + 3x2 = 0 + 12x + -12x + -3x2 + 3x2
-8 + -12x + 3x2 = 12x + -12x + -3x2 + 3x2

Combine like terms: 12x + -12x = 0
-8 + -12x + 3x2 = 0 + -3x2 + 3x2
-8 + -12x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-8 + -12x + 3x2 = 0

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

Divide each side by '3'.
-2.666666667 + -4x + x2 = 0

Move the constant term to the right:

Add '2.666666667' to each side of the equation.
-2.666666667 + -4x + 2.666666667 + x2 = 0 + 2.666666667

Reorder the terms:
-2.666666667 + 2.666666667 + -4x + x2 = 0 + 2.666666667

Combine like terms: -2.666666667 + 2.666666667 = 0.000000000
0.000000000 + -4x + x2 = 0 + 2.666666667
-4x + x2 = 0 + 2.666666667

Combine like terms: 0 + 2.666666667 = 2.666666667
-4x + x2 = 2.666666667

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 2.666666667 + 4

Reorder the terms:
4 + -4x + x2 = 2.666666667 + 4

Combine like terms: 2.666666667 + 4 = 6.666666667
4 + -4x + x2 = 6.666666667

Factor a perfect square on the left side:
(x + -2)(x + -2) = 6.666666667

Calculate the square root of the right side: 2.581988898

Break this problem into two subproblems by setting 
(x + -2) equal to 2.581988898 and -2.581988898.

Subproblem 1

x + -2 = 2.581988898 Simplifying x + -2 = 2.581988898 Reorder the terms: -2 + x = 2.581988898 Solving -2 + x = 2.581988898 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 2.581988898 + 2 Combine like terms: -2 + 2 = 0 0 + x = 2.581988898 + 2 x = 2.581988898 + 2 Combine like terms: 2.581988898 + 2 = 4.581988898 x = 4.581988898 Simplifying x = 4.581988898

Subproblem 2

x + -2 = -2.581988898 Simplifying x + -2 = -2.581988898 Reorder the terms: -2 + x = -2.581988898 Solving -2 + x = -2.581988898 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = -2.581988898 + 2 Combine like terms: -2 + 2 = 0 0 + x = -2.581988898 + 2 x = -2.581988898 + 2 Combine like terms: -2.581988898 + 2 = -0.581988898 x = -0.581988898 Simplifying x = -0.581988898

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.581988898, -0.581988898}

See similar equations:

| 7(x+9)=-6(x-9) | | 4-8(7r+4)=-308 | | -4d-5=-1-2d | | A=b(h+c) | | 2x+3x-4x=4+4x | | 5(f-2)=-25 | | 2w-.04=1+1.8w | | -8x=160 | | 37.49=8g+3.97 | | (2x-3)*(x+7)=0 | | (q+76)+38=180 | | x=12-32 | | (2x+7)+(3x+13)=90 | | 5=11-3s | | (2x+5)-(x-4)=10 | | (6-5r)-2=82 | | 10(s-9)=-193 | | 9x+26+5x=180 | | 13=7x+5-3x | | 6(3s+10)=114 | | 15x+89+3x=5+x | | -2=y-6 | | 3*30+2*30+3y=180 | | 4y+3=2y+100 | | -4r-(6-7r)=-2(3-r) | | 2a-9=2a+15 | | 3(36)+2(36)+3y=180 | | 3n^2-5=49 | | 92=4x+6(x-3) | | 1=2u+3 | | 3x+2x+3x=180 | | 4p^2+6=454 |

Equations solver categories