42x^3+36x+48x^2=

Solution for 42x^3+36x+48x^2= equation:

Simplifying
42x3 + 36x + 48x2 = 0

Reorder the terms:
36x + 48x2 + 42x3 = 0

Solving
36x + 48x2 + 42x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(6 + 8x + 7x2) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(6 + 8x + 7x2)' equal to zero and attempt to solve:

Simplifying
6 + 8x + 7x2 = 0

Solving
6 + 8x + 7x2 = 0

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

Divide each side by '7'.
0.8571428571 + 1.142857143x + x2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + 1.142857143x + -0.8571428571 + x2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + 1.142857143x + x2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + 1.142857143x + x2 = 0 + -0.8571428571
1.142857143x + x2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
1.142857143x + x2 = -0.8571428571

The x term is 1.142857143x.  Take half its coefficient (0.5714285715).
Square it (0.3265306123) and add it to both sides.

Add '0.3265306123' to each side of the equation.
1.142857143x + 0.3265306123 + x2 = -0.8571428571 + 0.3265306123

Reorder the terms:
0.3265306123 + 1.142857143x + x2 = -0.8571428571 + 0.3265306123

Combine like terms: -0.8571428571 + 0.3265306123 = -0.5306122448
0.3265306123 + 1.142857143x + x2 = -0.5306122448

Factor a perfect square on the left side:
(x + 0.5714285715)(x + 0.5714285715) = -0.5306122448

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}