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Simplifying 294y4 + -24y2 = 0 Reorder the terms: -24y2 + 294y4 = 0 Solving -24y2 + 294y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6y2'. 6y2(-4 + 49y2) = 0 Factor a difference between two squares. 6y2((2 + 7y)(-2 + 7y)) = 0 Ignore the factor 6.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 '(2 + 7y)' equal to zero and attempt to solve: Simplifying 2 + 7y = 0 Solving 2 + 7y = 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 + 7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 0 + -2 7y = 0 + -2 Combine like terms: 0 + -2 = -2 7y = -2 Divide each side by '7'. y = -0.2857142857 Simplifying y = -0.2857142857Subproblem 3
Set the factor '(-2 + 7y)' equal to zero and attempt to solve: Simplifying -2 + 7y = 0 Solving -2 + 7y = 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 + 7y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7y = 0 + 2 7y = 0 + 2 Combine like terms: 0 + 2 = 2 7y = 2 Divide each side by '7'. y = 0.2857142857 Simplifying y = 0.2857142857Solution
y = {0, -0.2857142857, 0.2857142857}
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