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Simplifying 9y[5y + 3(y + -4) + -7] = 0 Reorder the terms: 9y[5y + 3(-4 + y) + -7] = 0 9y[5y + (-4 * 3 + y * 3) + -7] = 0 9y[5y + (-12 + 3y) + -7] = 0 Reorder the terms: 9y[-12 + -7 + 5y + 3y] = 0 Combine like terms: -12 + -7 = -19 9y[-19 + 5y + 3y] = 0 Combine like terms: 5y + 3y = 8y 9y[-19 + 8y] = 0 [-19 * 9y + 8y * 9y] = 0 [-171y + 72y2] = 0 Solving -171y + 72y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '9y'. 9y(-19 + 8y) = 0 Ignore the factor 9.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 '(-19 + 8y)' equal to zero and attempt to solve: Simplifying -19 + 8y = 0 Solving -19 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 8y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 8y = 0 + 19 8y = 0 + 19 Combine like terms: 0 + 19 = 19 8y = 19 Divide each side by '8'. y = 2.375 Simplifying y = 2.375Solution
y = {0, 2.375}
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