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Simplifying (7 + -1y5)(7 + y5) = 0 Multiply (7 + -1y5) * (7 + y5) (7(7 + y5) + -1y5 * (7 + y5)) = 0 ((7 * 7 + y5 * 7) + -1y5 * (7 + y5)) = 0 ((49 + 7y5) + -1y5 * (7 + y5)) = 0 (49 + 7y5 + (7 * -1y5 + y5 * -1y5)) = 0 (49 + 7y5 + (-7y5 + -1y10)) = 0 Combine like terms: 7y5 + -7y5 = 0 (49 + 0 + -1y10) = 0 (49 + -1y10) = 0 Solving 49 + -1y10 = 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 + -1y10 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1y10 = 0 + -49 -1y10 = 0 + -49 Combine like terms: 0 + -49 = -49 -1y10 = -49 Divide each side by '-1'. y10 = 49 Simplifying y10 = 49 Reorder the terms: -49 + y10 = 49 + -49 Combine like terms: 49 + -49 = 0 -49 + y10 = 0 Factor a difference between two squares. (7 + y5)(-7 + y5) = 0Subproblem 1
Set the factor '(7 + y5)' equal to zero and attempt to solve: Simplifying 7 + y5 = 0 Solving 7 + y5 = 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 + y5 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y5 = 0 + -7 y5 = 0 + -7 Combine like terms: 0 + -7 = -7 y5 = -7 Simplifying y5 = -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 + y5)' equal to zero and attempt to solve: Simplifying -7 + y5 = 0 Solving -7 + y5 = 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 + y5 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y5 = 0 + 7 y5 = 0 + 7 Combine like terms: 0 + 7 = 7 y5 = 7 Simplifying y5 = 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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