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Simplifying (16y)(16y) + -8y = 0 Remove parenthesis around (16y) 16y(16y) + -8y = 0 Remove parenthesis around (16y) 16y * 16y + -8y = 0 Reorder the terms for easier multiplication: 16 * 16y * y + -8y = 0 Multiply 16 * 16 256y * y + -8y = 0 Multiply y * y 256y2 + -8y = 0 Reorder the terms: -8y + 256y2 = 0 Solving -8y + 256y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y'. 8y(-1 + 32y) = 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 '(-1 + 32y)' equal to zero and attempt to solve: Simplifying -1 + 32y = 0 Solving -1 + 32y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 32y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 32y = 0 + 1 32y = 0 + 1 Combine like terms: 0 + 1 = 1 32y = 1 Divide each side by '32'. y = 0.03125 Simplifying y = 0.03125Solution
y = {0, 0.03125}
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