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Simplifying -3y2 + -7y + -9 + -4y2 + 6y + 9 = 0 Reorder the terms: -9 + 9 + -7y + 6y + -3y2 + -4y2 = 0 Combine like terms: -9 + 9 = 0 0 + -7y + 6y + -3y2 + -4y2 = 0 -7y + 6y + -3y2 + -4y2 = 0 Combine like terms: -7y + 6y = -1y -1y + -3y2 + -4y2 = 0 Combine like terms: -3y2 + -4y2 = -7y2 -1y + -7y2 = 0 Solving -1y + -7y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-1y'. -1y(1 + 7y) = 0 Ignore the factor -1.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 '(1 + 7y)' equal to zero and attempt to solve: Simplifying 1 + 7y = 0 Solving 1 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7y = 0 + -1 7y = 0 + -1 Combine like terms: 0 + -1 = -1 7y = -1 Divide each side by '7'. y = -0.1428571429 Simplifying y = -0.1428571429Solution
y = {0, -0.1428571429}
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