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Simplifying 15ax + -30ay + -45aw = 0 Reorder the terms: -45aw + 15ax + -30ay = 0 Solving -45aw + 15ax + -30ay = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '15a'. 15a(-3w + x + -2y) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-3w + x + -2y)' equal to zero and attempt to solve: Simplifying -3w + x + -2y = 0 Solving -3w + x + -2y = 0 Move all terms containing a to the left, all other terms to the right. Add '3w' to each side of the equation. -3w + x + 3w + -2y = 0 + 3w Reorder the terms: -3w + 3w + x + -2y = 0 + 3w Combine like terms: -3w + 3w = 0 0 + x + -2y = 0 + 3w x + -2y = 0 + 3w Remove the zero: x + -2y = 3w Add '-1x' to each side of the equation. x + -1x + -2y = 3w + -1x Combine like terms: x + -1x = 0 0 + -2y = 3w + -1x -2y = 3w + -1x Add '2y' to each side of the equation. -2y + 2y = 3w + -1x + 2y Combine like terms: -2y + 2y = 0 0 = 3w + -1x + 2y Simplifying 0 = 3w + -1x + 2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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