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Simplifying 25wx + -20wy + -25wz = 0 Solving 25wx + -20wy + -25wz = 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), '5w'. 5w(5x + -4y + -5z) = 0 Ignore the factor 5.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 = 0Subproblem 2
Set the factor '(5x + -4y + -5z)' equal to zero and attempt to solve: Simplifying 5x + -4y + -5z = 0 Solving 5x + -4y + -5z = 0 Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. 5x + -4y + -5x + -5z = 0 + -5x Reorder the terms: 5x + -5x + -4y + -5z = 0 + -5x Combine like terms: 5x + -5x = 0 0 + -4y + -5z = 0 + -5x -4y + -5z = 0 + -5x Remove the zero: -4y + -5z = -5x Add '4y' to each side of the equation. -4y + 4y + -5z = -5x + 4y Combine like terms: -4y + 4y = 0 0 + -5z = -5x + 4y -5z = -5x + 4y Add '5z' to each side of the equation. -5z + 5z = -5x + 4y + 5z Combine like terms: -5z + 5z = 0 0 = -5x + 4y + 5z Simplifying 0 = -5x + 4y + 5z 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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