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Simplifying 5y4 + -7y2 = y2 Reorder the terms: -7y2 + 5y4 = y2 Solving -7y2 + 5y4 = y2 Solving for variable 'y'. Reorder the terms: -7y2 + -1y2 + 5y4 = y2 + -1y2 Combine like terms: -7y2 + -1y2 = -8y2 -8y2 + 5y4 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -8y2 + 5y4 = 0 Factor out the Greatest Common Factor (GCF), 'y2'. y2(-8 + 5y2) = 0Subproblem 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 '(-8 + 5y2)' equal to zero and attempt to solve: Simplifying -8 + 5y2 = 0 Solving -8 + 5y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5y2 = 0 + 8 5y2 = 0 + 8 Combine like terms: 0 + 8 = 8 5y2 = 8 Divide each side by '5'. y2 = 1.6 Simplifying y2 = 1.6 Take the square root of each side: y = {-1.264911064, 1.264911064}Solution
y = {0, -1.264911064, 1.264911064}
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