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Simplifying 10y4(8y2 + -9) = 0 Reorder the terms: 10y4(-9 + 8y2) = 0 (-9 * 10y4 + 8y2 * 10y4) = 0 (-90y4 + 80y6) = 0 Solving -90y4 + 80y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '10y4'. 10y4(-9 + 8y2) = 0 Ignore the factor 10.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 '(-9 + 8y2)' equal to zero and attempt to solve: Simplifying -9 + 8y2 = 0 Solving -9 + 8y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8y2 = 0 + 9 8y2 = 0 + 9 Combine like terms: 0 + 9 = 9 8y2 = 9 Divide each side by '8'. y2 = 1.125 Simplifying y2 = 1.125 Take the square root of each side: y = {-1.060660172, 1.060660172}Solution
y = {-1.060660172, 1.060660172}
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