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Simplifying 4y2 + 2y(3y + -2) + -3y2 = 0 Reorder the terms: 4y2 + 2y(-2 + 3y) + -3y2 = 0 4y2 + (-2 * 2y + 3y * 2y) + -3y2 = 0 4y2 + (-4y + 6y2) + -3y2 = 0 Reorder the terms: -4y + 4y2 + 6y2 + -3y2 = 0 Combine like terms: 4y2 + 6y2 = 10y2 -4y + 10y2 + -3y2 = 0 Combine like terms: 10y2 + -3y2 = 7y2 -4y + 7y2 = 0 Solving -4y + 7y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-4 + 7y) = 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 '(-4 + 7y)' equal to zero and attempt to solve: Simplifying -4 + 7y = 0 Solving -4 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7y = 0 + 4 7y = 0 + 4 Combine like terms: 0 + 4 = 4 7y = 4 Divide each side by '7'. y = 0.5714285714 Simplifying y = 0.5714285714Solution
y = {0, 0.5714285714}
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