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Simplifying 16y2z + 20y3z6 = 4y2z Solving 16y2z + 20y3z6 = 4y2z Solving for variable 'y'. Reorder the terms: 16y2z + -4y2z + 20y3z6 = 4y2z + -4y2z Combine like terms: 16y2z + -4y2z = 12y2z 12y2z + 20y3z6 = 4y2z + -4y2z Combine like terms: 4y2z + -4y2z = 0 12y2z + 20y3z6 = 0 Factor out the Greatest Common Factor (GCF), '4y2z'. 4y2z(3 + 5yz5) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y2z' equal to zero and attempt to solve: Simplifying y2z = 0 Solving y2z = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2z = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + 5yz5)' equal to zero and attempt to solve: Simplifying 3 + 5yz5 = 0 Solving 3 + 5yz5 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5yz5 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5yz5 = 0 + -3 5yz5 = 0 + -3 Combine like terms: 0 + -3 = -3 5yz5 = -3 Divide each side by '5z5'. y = -0.6z-5 Simplifying y = -0.6z-5Solution
y = {-0.6z-5}
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