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Simplifying 4y(8y + -3) + 7y = 0 Reorder the terms: 4y(-3 + 8y) + 7y = 0 (-3 * 4y + 8y * 4y) + 7y = 0 (-12y + 32y2) + 7y = 0 Reorder the terms: -12y + 7y + 32y2 = 0 Combine like terms: -12y + 7y = -5y -5y + 32y2 = 0 Solving -5y + 32y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-5 + 32y) = 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 '(-5 + 32y)' equal to zero and attempt to solve: Simplifying -5 + 32y = 0 Solving -5 + 32y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 32y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 32y = 0 + 5 32y = 0 + 5 Combine like terms: 0 + 5 = 5 32y = 5 Divide each side by '32'. y = 0.15625 Simplifying y = 0.15625Solution
y = {0, 0.15625}
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