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Simplifying (7y8)(5y4 + 5y3) = 0 Remove parenthesis around (7y8) 7y8(5y4 + 5y3) = 0 Reorder the terms: 7y8(5y3 + 5y4) = 0 (5y3 * 7y8 + 5y4 * 7y8) = 0 (35y11 + 35y12) = 0 Solving 35y11 + 35y12 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '35y11'. 35y11(1 + y) = 0 Ignore the factor 35.Subproblem 1
Set the factor 'y11' equal to zero and attempt to solve: Simplifying y11 = 0 Solving y11 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y11 = 0 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 '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-1}
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