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Simplifying 5y2 + -126y = 9y2 Reorder the terms: -126y + 5y2 = 9y2 Solving -126y + 5y2 = 9y2 Solving for variable 'y'. Combine like terms: 5y2 + -9y2 = -4y2 -126y + -4y2 = 9y2 + -9y2 Combine like terms: 9y2 + -9y2 = 0 -126y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '-2y'. -2y(63 + 2y) = 0 Ignore the factor -2.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 '(63 + 2y)' equal to zero and attempt to solve: Simplifying 63 + 2y = 0 Solving 63 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 2y = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 2y = 0 + -63 2y = 0 + -63 Combine like terms: 0 + -63 = -63 2y = -63 Divide each side by '2'. y = -31.5 Simplifying y = -31.5Solution
y = {0, -31.5}
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