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Simplifying 7y2 + -3y + 5y2 + -4y = 0 Reorder the terms: -3y + -4y + 7y2 + 5y2 = 0 Combine like terms: -3y + -4y = -7y -7y + 7y2 + 5y2 = 0 Combine like terms: 7y2 + 5y2 = 12y2 -7y + 12y2 = 0 Solving -7y + 12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-7 + 12y) = 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 '(-7 + 12y)' equal to zero and attempt to solve: Simplifying -7 + 12y = 0 Solving -7 + 12y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 12y = 0 + 7 12y = 0 + 7 Combine like terms: 0 + 7 = 7 12y = 7 Divide each side by '12'. y = 0.5833333333 Simplifying y = 0.5833333333Solution
y = {0, 0.5833333333}
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