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Simplifying 300y + -6y2 = 4y2 Solving 300y + -6y2 = 4y2 Solving for variable 'y'. Combine like terms: -6y2 + -4y2 = -10y2 300y + -10y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 300y + -10y2 = 0 Factor out the Greatest Common Factor (GCF), '10y'. 10y(30 + -1y) = 0 Ignore the factor 10.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 '(30 + -1y)' equal to zero and attempt to solve: Simplifying 30 + -1y = 0 Solving 30 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = 0 + -30 -1y = 0 + -30 Combine like terms: 0 + -30 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30Solution
y = {0, 30}
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