-3x^2-12x-10=0

Simple and best practice solution for -3x^2-12x-10=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-10=0 equation: 


Simplifying
-3x2 + -12x + -10 = 0

Reorder the terms:
-10 + -12x + -3x2 = 0

Solving
-10 + -12x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10 + 12x + 3x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(10 + 12x + 3x2)' equal to zero and attempt to solve:

Simplifying
10 + 12x + 3x2 = 0

Solving
10 + 12x + 3x2 = 0

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

Divide each side by '3'.
3.333333333 + 4x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 4x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 4x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 4x + x2 = 0 + -3.333333333
4x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
4x + x2 = -3.333333333

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 = -3.333333333 + 4

Reorder the terms:
4 + 4x + x2 = -3.333333333 + 4

Combine like terms: -3.333333333 + 4 = 0.666666667
4 + 4x + x2 = 0.666666667

Factor a perfect square on the left side:
(x + 2)(x + 2) = 0.666666667

Calculate the square root of the right side: 0.816496581

Break this problem into two subproblems by setting 
(x + 2) equal to 0.816496581 and -0.816496581.


Subproblem 1
x + 2 = 0.816496581

Simplifying
x + 2 = 0.816496581

Reorder the terms:
2 + x = 0.816496581

Solving
2 + x = 0.816496581

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 = 0.816496581 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0.816496581 + -2
x = 0.816496581 + -2

Combine like terms: 0.816496581 + -2 = -1.183503419
x = -1.183503419

Simplifying
x = -1.183503419


Subproblem 2
x + 2 = -0.816496581

Simplifying
x + 2 = -0.816496581

Reorder the terms:
2 + x = -0.816496581

Solving
2 + x = -0.816496581

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 = -0.816496581 + -2

Combine like terms: 2 + -2 = 0
0 + x = -0.816496581 + -2
x = -0.816496581 + -2

Combine like terms: -0.816496581 + -2 = -2.816496581
x = -2.816496581

Simplifying
x = -2.816496581


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.183503419, -2.816496581}
Solution
x = {-1.183503419, -2.816496581}

See similar equations:

| 17-(3x-7)+19x=4(5x+3) | | 20x=1500 | | 5t^2-36+-32=0 | | -5x(x-2)-(x+2)=50 | | 8(7g-9)-6(7g-6)=-g+9(g-8) | | 5t^2-36+-36=0 | | 2+3(3b-2)=3(2b+3)-1 | | 9x-1=5(x+3) | | 2x+9=2(x-2) | | 2c^2-9c+-5=0 | | -15+z=4(3z-2)+37 | | 4x^2+6x^2-3x^2= | | 38x+19= | | 6x+15=537 | | 10+2(5x-2)=26 | | (-5.2x+2)(-3)= | | 2x+36-4x=2-7x+4 | | 0.6x^2+2x-9=0 | | 8-12x^2+5+3x^2= | | 3x+4(2-3)=4x+5 | | 999+777= | | -5n=26 | | 7-x=3x-4x | | [x+2]=2 | | 8=y-4.6 | | 3(2x-1)=1-2(4x-2)+2 | | F(x)=2x^2-8x-3 | | A-17=-8 | | 7x^2+13x=4700 | | 5-x=1-2x+4 | | y-6.5=3.4 | | 7x(4-2x)=30 |

Equations solver categories