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Simplifying (y3 + 7)(y3 + -7) = 0 Reorder the terms: (7 + y3)(y3 + -7) = 0 Reorder the terms: (7 + y3)(-7 + y3) = 0 Multiply (7 + y3) * (-7 + y3) (7(-7 + y3) + y3(-7 + y3)) = 0 ((-7 * 7 + y3 * 7) + y3(-7 + y3)) = 0 ((-49 + 7y3) + y3(-7 + y3)) = 0 (-49 + 7y3 + (-7 * y3 + y3 * y3)) = 0 (-49 + 7y3 + (-7y3 + y6)) = 0 Combine like terms: 7y3 + -7y3 = 0 (-49 + 0 + y6) = 0 (-49 + y6) = 0 Solving -49 + y6 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + y6 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + y6 = 0 + 49 y6 = 0 + 49 Combine like terms: 0 + 49 = 49 y6 = 49 Simplifying y6 = 49 Reorder the terms: -49 + y6 = 49 + -49 Combine like terms: 49 + -49 = 0 -49 + y6 = 0 Factor a difference between two squares. (7 + y3)(-7 + y3) = 0Subproblem 1
Set the factor '(7 + y3)' equal to zero and attempt to solve: Simplifying 7 + y3 = 0 Solving 7 + y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + y3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y3 = 0 + -7 y3 = 0 + -7 Combine like terms: 0 + -7 = -7 y3 = -7 Simplifying y3 = -7 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 '(-7 + y3)' equal to zero and attempt to solve: Simplifying -7 + y3 = 0 Solving -7 + y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + y3 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y3 = 0 + 7 y3 = 0 + 7 Combine like terms: 0 + 7 = 7 y3 = 7 Simplifying y3 = 7 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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