3x^2-12x-38=0

Simple and best practice solution for 3x^2-12x-38=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^2-12x-38=0 equation:


Simplifying
3x2 + -12x + -38 = 0

Reorder the terms:
-38 + -12x + 3x2 = 0

Solving
-38 + -12x + 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'.
-12.66666667 + -4x + x2 = 0

Move the constant term to the right:

Add '12.66666667' to each side of the equation.
-12.66666667 + -4x + 12.66666667 + x2 = 0 + 12.66666667

Reorder the terms:
-12.66666667 + 12.66666667 + -4x + x2 = 0 + 12.66666667

Combine like terms: -12.66666667 + 12.66666667 = 0.00000000
0.00000000 + -4x + x2 = 0 + 12.66666667
-4x + x2 = 0 + 12.66666667

Combine like terms: 0 + 12.66666667 = 12.66666667
-4x + x2 = 12.66666667

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 = 12.66666667 + 4

Reorder the terms:
4 + -4x + x2 = 12.66666667 + 4

Combine like terms: 12.66666667 + 4 = 16.66666667
4 + -4x + x2 = 16.66666667

Factor a perfect square on the left side:
(x + -2)(x + -2) = 16.66666667

Calculate the square root of the right side: 4.082482905

Break this problem into two subproblems by setting 
(x + -2) equal to 4.082482905 and -4.082482905.


Subproblem 1
x + -2 = 4.082482905

Simplifying
x + -2 = 4.082482905

Reorder the terms:
-2 + x = 4.082482905

Solving
-2 + x = 4.082482905

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 = 4.082482905 + 2

Combine like terms: -2 + 2 = 0
0 + x = 4.082482905 + 2
x = 4.082482905 + 2

Combine like terms: 4.082482905 + 2 = 6.082482905
x = 6.082482905

Simplifying
x = 6.082482905


Subproblem 2
x + -2 = -4.082482905

Simplifying
x + -2 = -4.082482905

Reorder the terms:
-2 + x = -4.082482905

Solving
-2 + x = -4.082482905

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 = -4.082482905 + 2

Combine like terms: -2 + 2 = 0
0 + x = -4.082482905 + 2
x = -4.082482905 + 2

Combine like terms: -4.082482905 + 2 = -2.082482905
x = -2.082482905

Simplifying
x = -2.082482905


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.082482905, -2.082482905}

See similar equations:

| (12+8x)+13= | | 2x+5=7-2x | | 4th=60+10t | | 9x-5+3x+2= | | 3x^3-7x+6x-14=0 | | 0.3x=0.51 | | -3(2t-3)+2t=7t-3 | | 3xy+5x-2y+4yx+11x-8= | | -6z+4z=6z-8+7z | | 5x+2=-3+3x+17 | | (56/x-2)=x-3 | | (2/3)(x)+(1/2)(x-4)=x-4 | | 2y^2-15y-12=0 | | -22=-w-3 | | 2x+5=x+3(1-2x) | | 10-(3n-3)=1-4n | | -3x=-18-3x | | 8x+5-9x+2=7x-8x-3 | | 8z+3-6z=10+z+3 | | w^2+4w+3= | | (8/27)^-2/3 | | 4z=12-36 | | 8x+3x=7 | | 27y^2-41y+14=0 | | x+28=12 | | 9w-19w=30 | | =2e-05(5000)+5.812 | | 5x+4=5(x+3) | | =2e-5(5000)+5.812 | | g-2/3=4 | | 6.9x-3+x-1.2= | | (m+7)-19=-13 |

Equations solver categories