(2x-w+1)(2x+6w)=0

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Solution for (2x-w+1)(2x+6w)=0 equation:


Simplifying
(2x + -1w + 1)(2x + 6w) = 0

Reorder the terms:
(1 + -1w + 2x)(2x + 6w) = 0

Reorder the terms:
(1 + -1w + 2x)(6w + 2x) = 0

Multiply (1 + -1w + 2x) * (6w + 2x)
(1(6w + 2x) + -1w * (6w + 2x) + 2x * (6w + 2x)) = 0
((6w * 1 + 2x * 1) + -1w * (6w + 2x) + 2x * (6w + 2x)) = 0
((6w + 2x) + -1w * (6w + 2x) + 2x * (6w + 2x)) = 0
(6w + 2x + (6w * -1w + 2x * -1w) + 2x * (6w + 2x)) = 0

Reorder the terms:
(6w + 2x + (-2wx + -6w2) + 2x * (6w + 2x)) = 0
(6w + 2x + (-2wx + -6w2) + 2x * (6w + 2x)) = 0
(6w + 2x + -2wx + -6w2 + (6w * 2x + 2x * 2x)) = 0
(6w + 2x + -2wx + -6w2 + (12wx + 4x2)) = 0

Reorder the terms:
(6w + -2wx + 12wx + -6w2 + 2x + 4x2) = 0

Combine like terms: -2wx + 12wx = 10wx
(6w + 10wx + -6w2 + 2x + 4x2) = 0

Solving
6w + 10wx + -6w2 + 2x + 4x2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3w + 5wx + -3w2 + x + 2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3w + 5wx + -3w2 + x + 2x2)' equal to zero and attempt to solve: Simplifying 3w + 5wx + -3w2 + x + 2x2 = 0 Solving 3w + 5wx + -3w2 + x + 2x2 = 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.

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