5(4z+6)2w=2(2w^2+7w-3)

Solution for 5(4z+6)2w=2(2w^2+7w-3) equation:

Simplifying
5(4z + 6) * 2w = 2(2w2 + 7w + -3)

Reorder the terms:
5(6 + 4z) * 2w = 2(2w2 + 7w + -3)

Reorder the terms for easier multiplication:
5 * 2w(6 + 4z) = 2(2w2 + 7w + -3)

Multiply 5 * 2
10w(6 + 4z) = 2(2w2 + 7w + -3)
(6 * 10w + 4z * 10w) = 2(2w2 + 7w + -3)
(60w + 40wz) = 2(2w2 + 7w + -3)

Reorder the terms:
60w + 40wz = 2(-3 + 7w + 2w2)
60w + 40wz = (-3 * 2 + 7w * 2 + 2w2 * 2)
60w + 40wz = (-6 + 14w + 4w2)

Solving
60w + 40wz = -6 + 14w + 4w2

Solving for variable 'w'.

Reorder the terms:
6 + 60w + -14w + 40wz + -4w2 = -6 + 14w + 4w2 + 6 + -14w + -4w2

Combine like terms: 60w + -14w = 46w
6 + 46w + 40wz + -4w2 = -6 + 14w + 4w2 + 6 + -14w + -4w2

Reorder the terms:
6 + 46w + 40wz + -4w2 = -6 + 6 + 14w + -14w + 4w2 + -4w2

Combine like terms: -6 + 6 = 0
6 + 46w + 40wz + -4w2 = 0 + 14w + -14w + 4w2 + -4w2
6 + 46w + 40wz + -4w2 = 14w + -14w + 4w2 + -4w2

Combine like terms: 14w + -14w = 0
6 + 46w + 40wz + -4w2 = 0 + 4w2 + -4w2
6 + 46w + 40wz + -4w2 = 4w2 + -4w2

Combine like terms: 4w2 + -4w2 = 0
6 + 46w + 40wz + -4w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 23w + 20wz + -2w2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + 23w + 20wz + -2w2)' equal to zero and attempt to solve:

Simplifying
3 + 23w + 20wz + -2w2 = 0

Solving
3 + 23w + 20wz + -2w2 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.