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Simplifying (5 + -1y8)(5 + y8) = 0 Multiply (5 + -1y8) * (5 + y8) (5(5 + y8) + -1y8 * (5 + y8)) = 0 ((5 * 5 + y8 * 5) + -1y8 * (5 + y8)) = 0 ((25 + 5y8) + -1y8 * (5 + y8)) = 0 (25 + 5y8 + (5 * -1y8 + y8 * -1y8)) = 0 (25 + 5y8 + (-5y8 + -1y16)) = 0 Combine like terms: 5y8 + -5y8 = 0 (25 + 0 + -1y16) = 0 (25 + -1y16) = 0 Solving 25 + -1y16 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1y16 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1y16 = 0 + -25 -1y16 = 0 + -25 Combine like terms: 0 + -25 = -25 -1y16 = -25 Divide each side by '-1'. y16 = 25 Simplifying y16 = 25 Reorder the terms: -25 + y16 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + y16 = 0 Factor a difference between two squares. (5 + y8)(-5 + y8) = 0Subproblem 1
Set the factor '(5 + y8)' equal to zero and attempt to solve: Simplifying 5 + y8 = 0 Solving 5 + y8 = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y8 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y8 = 0 + -5 y8 = 0 + -5 Combine like terms: 0 + -5 = -5 y8 = -5 Simplifying y8 = -5 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 '(-5 + y8)' equal to zero and attempt to solve: Simplifying -5 + y8 = 0 Solving -5 + y8 = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y8 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y8 = 0 + 5 y8 = 0 + 5 Combine like terms: 0 + 5 = 5 y8 = 5 Simplifying y8 = 5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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