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Simplifying 16y(-4) + 8y(y + -4) = 0 Reorder the terms for easier multiplication: 16 * -4y + 8y(y + -4) = 0 Multiply 16 * -4 -64y + 8y(y + -4) = 0 Reorder the terms: -64y + 8y(-4 + y) = 0 -64y + (-4 * 8y + y * 8y) = 0 -64y + (-32y + 8y2) = 0 Combine like terms: -64y + -32y = -96y -96y + 8y2 = 0 Solving -96y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y'. 8y(-12 + y) = 0 Ignore the factor 8.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 '(-12 + y)' equal to zero and attempt to solve: Simplifying -12 + y = 0 Solving -12 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + y = 0 + 12 y = 0 + 12 Combine like terms: 0 + 12 = 12 y = 12 Simplifying y = 12Solution
y = {0, 12}
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