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Simplifying -2y(y + -2z + -7) = 0 Reorder the terms: -2y(-7 + y + -2z) = 0 (-7 * -2y + y * -2y + -2z * -2y) = 0 Reorder the terms: (14y + 4yz + -2y2) = 0 (14y + 4yz + -2y2) = 0 Solving 14y + 4yz + -2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(7 + 2z + -1y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(7 + 2z + -1y)' equal to zero and attempt to solve: Simplifying 7 + 2z + -1y = 0 Reorder the terms: 7 + -1y + 2z = 0 Solving 7 + -1y + 2z = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -1y + -7 + 2z = 0 + -7 Reorder the terms: 7 + -7 + -1y + 2z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y + 2z = 0 + -7 -1y + 2z = 0 + -7 Combine like terms: 0 + -7 = -7 -1y + 2z = -7 Add '-2z' to each side of the equation. -1y + 2z + -2z = -7 + -2z Combine like terms: 2z + -2z = 0 -1y + 0 = -7 + -2z -1y = -7 + -2z Divide each side by '-1'. y = 7 + 2z Simplifying y = 7 + 2zSolution
y = {0, 7 + 2z}
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