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