-70wx^2-62wx-12w=0

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Solution for -70wx^2-62wx-12w=0 equation: 


Simplifying
-70wx2 + -62wx + -12w = 0

Reorder the terms:
-12w + -62wx + -70wx2 = 0

Solving
-12w + -62wx + -70wx2 = 0

Solving for variable 'w'.

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

Factor out the Greatest Common Factor (GCF), '-2w'.
-2w(6 + 31x + 35x2) = 0

Factor a trinomial.
-2w((3 + 5x)(2 + 7x)) = 0

Ignore the factor -2.

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Add '-5x' to each side of the equation.
5x + -5x = -3 + -5x

Combine like terms: 5x + -5x = 0
0 = -3 + -5x

Simplifying
0 = -3 + -5x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(2 + 7x)' equal to zero and attempt to solve:

Simplifying
2 + 7x = 0

Solving
2 + 7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 0 + -2
7x = 0 + -2

Combine like terms: 0 + -2 = -2
7x = -2

Add '-7x' to each side of the equation.
7x + -7x = -2 + -7x

Combine like terms: 7x + -7x = 0
0 = -2 + -7x

Simplifying
0 = -2 + -7x

The solution to this equation could not be determined.

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

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