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Simplifying 48y6 + -147y4 = 0 Reorder the terms: -147y4 + 48y6 = 0 Solving -147y4 + 48y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y4'. 3y4(-49 + 16y2) = 0 Factor a difference between two squares. 3y4((7 + 4y)(-7 + 4y)) = 0 Ignore the factor 3.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 '(7 + 4y)' equal to zero and attempt to solve: Simplifying 7 + 4y = 0 Solving 7 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 0 + -7 4y = 0 + -7 Combine like terms: 0 + -7 = -7 4y = -7 Divide each side by '4'. y = -1.75 Simplifying y = -1.75Subproblem 3
Set the factor '(-7 + 4y)' equal to zero and attempt to solve: Simplifying -7 + 4y = 0 Solving -7 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4y = 0 + 7 4y = 0 + 7 Combine like terms: 0 + 7 = 7 4y = 7 Divide each side by '4'. y = 1.75 Simplifying y = 1.75Solution
y = {-1.75, 1.75}
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