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Simplifying 21y + -4y(19y + -6) = 0 Reorder the terms: 21y + -4y(-6 + 19y) = 0 21y + (-6 * -4y + 19y * -4y) = 0 21y + (24y + -76y2) = 0 Combine like terms: 21y + 24y = 45y 45y + -76y2 = 0 Solving 45y + -76y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(45 + -76y) = 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 '(45 + -76y)' equal to zero and attempt to solve: Simplifying 45 + -76y = 0 Solving 45 + -76y = 0 Move all terms containing y to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -76y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -76y = 0 + -45 -76y = 0 + -45 Combine like terms: 0 + -45 = -45 -76y = -45 Divide each side by '-76'. y = 0.5921052632 Simplifying y = 0.5921052632Solution
y = {0, 0.5921052632}
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