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Simplifying 7y(7y + 8) = 0 Reorder the terms: 7y(8 + 7y) = 0 (8 * 7y + 7y * 7y) = 0 (56y + 49y2) = 0 Solving 56y + 49y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '7y'. 7y(8 + 7y) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(8 + 7y)' equal to zero and attempt to solve: Simplifying 8 + 7y = 0 Solving 8 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7y = 0 + -8 7y = 0 + -8 Combine like terms: 0 + -8 = -8 7y = -8 Divide each side by '7'. y = -1.142857143 Simplifying y = -1.142857143Solution
y = {0, -1.142857143}
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