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Simplifying 3y4 + -12 = 0 Reorder the terms: -12 + 3y4 = 0 Solving -12 + 3y4 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3y4 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3y4 = 0 + 12 3y4 = 0 + 12 Combine like terms: 0 + 12 = 12 3y4 = 12 Divide each side by '3'. y4 = 4 Simplifying y4 = 4 Reorder the terms: -4 + y4 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + y4 = 0 Factor a difference between two squares. (2 + y2)(-2 + y2) = 0Subproblem 1
Set the factor '(2 + y2)' equal to zero and attempt to solve: Simplifying 2 + y2 = 0 Solving 2 + y2 = 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 + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y2 = 0 + -2 y2 = 0 + -2 Combine like terms: 0 + -2 = -2 y2 = -2 Simplifying y2 = -2 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 '(-2 + y2)' equal to zero and attempt to solve: Simplifying -2 + y2 = 0 Solving -2 + y2 = 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 + y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y2 = 0 + 2 y2 = 0 + 2 Combine like terms: 0 + 2 = 2 y2 = 2 Simplifying y2 = 2 Take the square root of each side: y = {-1.414213562, 1.414213562}Solution
y = {-1.414213562, 1.414213562}
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