42x^2-288x-39=3

Solution for 42x^2-288x-39=3 equation:

Simplifying
42x2 + -288x + -39 = 3

Reorder the terms:
-39 + -288x + 42x2 = 3

Solving
-39 + -288x + 42x2 = 3

Solving for variable 'x'.

Reorder the terms:
-39 + -3 + -288x + 42x2 = 3 + -3

Combine like terms: -39 + -3 = -42
-42 + -288x + 42x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-42 + -288x + 42x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-7 + -48x + 7x2) = 0

Factor a trinomial.
6((-1 + -7x)(7 + -1x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve:

Simplifying
-1 + -7x = 0

Solving
-1 + -7x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -7x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = 0 + 1
-7x = 0 + 1

Combine like terms: 0 + 1 = 1
-7x = 1

Divide each side by '-7'.
x = -0.1428571429

Simplifying
x = -0.1428571429
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-0.1428571429, 7}