3x^2-3x-12=0

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


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

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

Solving
-12 + -3x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + -1x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
-4 + -1x + x2 = 0

Solving
-4 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -1x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + -1x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x + x2 = 0 + 4
-1x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1x + x2 = 4

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 4 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 4 + 0.25

Combine like terms: 4 + 0.25 = 4.25
0.25 + -1x + x2 = 4.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(x + -0.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
x + -0.5 = 2.061552813

Simplifying
x + -0.5 = 2.061552813

Reorder the terms:
-0.5 + x = 2.061552813

Solving
-0.5 + x = 2.061552813

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 2.061552813 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 2.061552813 + 0.5
x = 2.061552813 + 0.5

Combine like terms: 2.061552813 + 0.5 = 2.561552813
x = 2.561552813

Simplifying
x = 2.561552813


Subproblem 2
x + -0.5 = -2.061552813

Simplifying
x + -0.5 = -2.061552813

Reorder the terms:
-0.5 + x = -2.061552813

Solving
-0.5 + x = -2.061552813

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -2.061552813 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -2.061552813 + 0.5
x = -2.061552813 + 0.5

Combine like terms: -2.061552813 + 0.5 = -1.561552813
x = -1.561552813

Simplifying
x = -1.561552813


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.561552813, -1.561552813}
Solution
x = {2.561552813, -1.561552813}

See similar equations:

| 16n-9=135 | | (5+2d)+(9+3x)= | | 4v-2+3(4v+3)=-2(v+4) | | X-2+2x=-1 | | x^2+7w+4=0 | | 2(x-1)-3(2x-8)=30 | | y+88+3y=180 | | 5m+5.25=37.75 | | -79=-4(8m-2)-5(4+7m) | | 6=2h | | 21x-6-18x+2=18x-6-15x+11 | | -6y=-y^2-196-x^2+28x | | .5x+3y=12 | | .3t=.5+.4t | | 8x-23+6x+35=180 | | -6y=-y-196-x^2+28x | | 2x+6(-2)=17 | | P+11.4=-4.5 | | 8(x+9)+2=-11(x-7)-10 | | 18?4x=-2 | | 12(3y+7)=192 | | 1s-3=5 | | 9.2(x+6.4)=1312.48 | | 18?4x=?2 | | 5=-5+r | | .1t=.5 | | 7(x-3)-2(x+4)=15 | | .1t=.5 | | 2*(9+16)=20 | | -45=-5s | | x^4=281 | | 2x-31=15 |

Equations solver categories