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Simplifying 5wz2 + 5wz2 + -10w2 = 0 Combine like terms: 5wz2 + 5wz2 = 10wz2 10wz2 + -10w2 = 0 Solving 10wz2 + -10w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '10w'. 10w(z2 + -1w) = 0 Ignore the factor 10.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 '(z2 + -1w)' equal to zero and attempt to solve: Simplifying z2 + -1w = 0 Reorder the terms: -1w + z2 = 0 Solving -1w + z2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-1z2' to each side of the equation. -1w + z2 + -1z2 = 0 + -1z2 Combine like terms: z2 + -1z2 = 0 -1w + 0 = 0 + -1z2 -1w = 0 + -1z2 Remove the zero: -1w = -1z2 Divide each side by '-1'. w = z2 Simplifying w = z2Solution
w = {0, z2}
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