2(w+7)x(w-3)=114

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Solution for 2(w+7)x(w-3)=114 equation:


Simplifying
2(w + 7) * x(w + -3) = 114

Reorder the terms:
2(7 + w) * x(w + -3) = 114

Reorder the terms:
2(7 + w) * x(-3 + w) = 114

Reorder the terms for easier multiplication:
2x(7 + w)(-3 + w) = 114

Multiply (7 + w) * (-3 + w)
2x(7(-3 + w) + w(-3 + w)) = 114
2x((-3 * 7 + w * 7) + w(-3 + w)) = 114
2x((-21 + 7w) + w(-3 + w)) = 114
2x(-21 + 7w + (-3 * w + w * w)) = 114
2x(-21 + 7w + (-3w + w2)) = 114

Combine like terms: 7w + -3w = 4w
2x(-21 + 4w + w2) = 114
(-21 * 2x + 4w * 2x + w2 * 2x) = 114

Reorder the terms:
(8wx + 2w2x + -42x) = 114
(8wx + 2w2x + -42x) = 114

Solving
8wx + 2w2x + -42x = 114

Solving for variable 'w'.

Reorder the terms:
-114 + 8wx + 2w2x + -42x = 114 + -114

Combine like terms: 114 + -114 = 0
-114 + 8wx + 2w2x + -42x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-57 + 4wx + w2x + -21x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-57 + 4wx + w2x + -21x)' equal to zero and attempt to solve: Simplifying -57 + 4wx + w2x + -21x = 0 Solving -57 + 4wx + w2x + -21x = 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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