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Simplifying 2y2 + -8y + 3y2 + -4y = 0 Reorder the terms: -8y + -4y + 2y2 + 3y2 = 0 Combine like terms: -8y + -4y = -12y -12y + 2y2 + 3y2 = 0 Combine like terms: 2y2 + 3y2 = 5y2 -12y + 5y2 = 0 Solving -12y + 5y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-12 + 5y) = 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 '(-12 + 5y)' equal to zero and attempt to solve: Simplifying -12 + 5y = 0 Solving -12 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 0 + 12 5y = 0 + 12 Combine like terms: 0 + 12 = 12 5y = 12 Divide each side by '5'. y = 2.4 Simplifying y = 2.4Solution
y = {0, 2.4}
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