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Simplifying 100 + -1y4 = 0 Solving 100 + -1y4 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1y4 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1y4 = 0 + -100 -1y4 = 0 + -100 Combine like terms: 0 + -100 = -100 -1y4 = -100 Divide each side by '-1'. y4 = 100 Simplifying y4 = 100 Reorder the terms: -100 + y4 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + y4 = 0 Factor a difference between two squares. (10 + y2)(-10 + y2) = 0Subproblem 1
Set the factor '(10 + y2)' equal to zero and attempt to solve: Simplifying 10 + y2 = 0 Solving 10 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + y2 = 0 + -10 y2 = 0 + -10 Combine like terms: 0 + -10 = -10 y2 = -10 Simplifying y2 = -10 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 '(-10 + y2)' equal to zero and attempt to solve: Simplifying -10 + y2 = 0 Solving -10 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + y2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + y2 = 0 + 10 y2 = 0 + 10 Combine like terms: 0 + 10 = 10 y2 = 10 Simplifying y2 = 10 Take the square root of each side: y = {-3.16227766, 3.16227766}Solution
y = {-3.16227766, 3.16227766}
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