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Simplifying 7y4(2 + -5y2) = 0 (2 * 7y4 + -5y2 * 7y4) = 0 (14y4 + -35y6) = 0 Solving 14y4 + -35y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '7y4'. 7y4(2 + -5y2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + -5y2)' equal to zero and attempt to solve: Simplifying 2 + -5y2 = 0 Solving 2 + -5y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y2 = 0 + -2 -5y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -5y2 = -2 Divide each side by '-5'. y2 = 0.4 Simplifying y2 = 0.4 Take the square root of each side: y = {-0.632455532, 0.632455532}Solution
y = {-0.632455532, 0.632455532}
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