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Simplifying (2y4)(5y2 + 1) = 0 Remove parenthesis around (2y4) 2y4(5y2 + 1) = 0 Reorder the terms: 2y4(1 + 5y2) = 0 (1 * 2y4 + 5y2 * 2y4) = 0 (2y4 + 10y6) = 0 Solving 2y4 + 10y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y4'. 2y4(1 + 5y2) = 0 Ignore the factor 2.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 '(1 + 5y2)' equal to zero and attempt to solve: Simplifying 1 + 5y2 = 0 Solving 1 + 5y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5y2 = 0 + -1 5y2 = 0 + -1 Combine like terms: 0 + -1 = -1 5y2 = -1 Divide each side by '5'. y2 = -0.2 Simplifying y2 = -0.2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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