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Simplifying (5 + -1y3)(5 + y3) = 0 Multiply (5 + -1y3) * (5 + y3) (5(5 + y3) + -1y3 * (5 + y3)) = 0 ((5 * 5 + y3 * 5) + -1y3 * (5 + y3)) = 0 ((25 + 5y3) + -1y3 * (5 + y3)) = 0 (25 + 5y3 + (5 * -1y3 + y3 * -1y3)) = 0 (25 + 5y3 + (-5y3 + -1y6)) = 0 Combine like terms: 5y3 + -5y3 = 0 (25 + 0 + -1y6) = 0 (25 + -1y6) = 0 Solving 25 + -1y6 = 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 + -1y6 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1y6 = 0 + -25 -1y6 = 0 + -25 Combine like terms: 0 + -25 = -25 -1y6 = -25 Divide each side by '-1'. y6 = 25 Simplifying y6 = 25 Reorder the terms: -25 + y6 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + y6 = 0 Factor a difference between two squares. (5 + y3)(-5 + y3) = 0Subproblem 1
Set the factor '(5 + y3)' equal to zero and attempt to solve: Simplifying 5 + y3 = 0 Solving 5 + y3 = 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 + y3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y3 = 0 + -5 y3 = 0 + -5 Combine like terms: 0 + -5 = -5 y3 = -5 Simplifying y3 = -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 + y3)' equal to zero and attempt to solve: Simplifying -5 + y3 = 0 Solving -5 + y3 = 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 + y3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y3 = 0 + 5 y3 = 0 + 5 Combine like terms: 0 + 5 = 5 y3 = 5 Simplifying y3 = 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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