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Simplifying (5y2 + -4)(5y2 + 4) = 0 Reorder the terms: (-4 + 5y2)(5y2 + 4) = 0 Reorder the terms: (-4 + 5y2)(4 + 5y2) = 0 Multiply (-4 + 5y2) * (4 + 5y2) (-4(4 + 5y2) + 5y2 * (4 + 5y2)) = 0 ((4 * -4 + 5y2 * -4) + 5y2 * (4 + 5y2)) = 0 ((-16 + -20y2) + 5y2 * (4 + 5y2)) = 0 (-16 + -20y2 + (4 * 5y2 + 5y2 * 5y2)) = 0 (-16 + -20y2 + (20y2 + 25y4)) = 0 Combine like terms: -20y2 + 20y2 = 0 (-16 + 0 + 25y4) = 0 (-16 + 25y4) = 0 Solving -16 + 25y4 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 25y4 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 25y4 = 0 + 16 25y4 = 0 + 16 Combine like terms: 0 + 16 = 16 25y4 = 16 Divide each side by '25'. y4 = 0.64 Simplifying y4 = 0.64 Reorder the terms: -0.64 + y4 = 0.64 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 -0.64 + y4 = 0.00 Factor a difference between two squares. (0.8 + y2)(-0.8 + y2) = 0.00Subproblem 1
Set the factor '(0.8 + y2)' equal to zero and attempt to solve: Simplifying 0.8 + y2 = 0 Solving 0.8 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + y2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + y2 = 0 + -0.8 y2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 y2 = -0.8 Simplifying y2 = -0.8 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 '(-0.8 + y2)' equal to zero and attempt to solve: Simplifying -0.8 + y2 = 0 Solving -0.8 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + y2 = 0 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + y2 = 0 + 0.8 y2 = 0 + 0.8 Combine like terms: 0 + 0.8 = 0.8 y2 = 0.8 Simplifying y2 = 0.8 Take the square root of each side: y = {-0.894427191, 0.894427191}Solution
y = {-0.894427191, 0.894427191}
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