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Simplifying (48y2 + 14(-7y) + -6y2) = 0 Remove parenthesis around (-7y) (48y2 + 14 * -7y + -6y2) = 0 Multiply 14 * -7 (48y2 + -98y + -6y2) = 0 Reorder the terms: (-98y + 48y2 + -6y2) = 0 Combine like terms: 48y2 + -6y2 = 42y2 (-98y + 42y2) = 0 Remove parenthesis around (-98y + 42y2) -98y + 42y2 = 0 Solving -98y + 42y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '14y'. 14y(-7 + 3y) = 0 Ignore the factor 14.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 '(-7 + 3y)' equal to zero and attempt to solve: Simplifying -7 + 3y = 0 Solving -7 + 3y = 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 + 3y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3y = 0 + 7 3y = 0 + 7 Combine like terms: 0 + 7 = 7 3y = 7 Divide each side by '3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {0, 2.333333333}
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