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Simplifying 28y2 = 21y4 Solving 28y2 = 21y4 Solving for variable 'y'. Combine like terms: 21y4 + -21y4 = 0 28y2 + -21y4 = 0 Factor out the Greatest Common Factor (GCF), '7y2'. 7y2(4 + -3y2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(4 + -3y2)' equal to zero and attempt to solve: Simplifying 4 + -3y2 = 0 Solving 4 + -3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y2 = 0 + -4 -3y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3y2 = -4 Divide each side by '-3'. y2 = 1.333333333 Simplifying y2 = 1.333333333 Take the square root of each side: y = {-1.154700538, 1.154700538}Solution
y = {0, -1.154700538, 1.154700538}
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