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Simplifying 2y(9y + 7) = 0 Reorder the terms: 2y(7 + 9y) = 0 (7 * 2y + 9y * 2y) = 0 (14y + 18y2) = 0 Solving 14y + 18y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(7 + 9y) = 0 Ignore the factor 2.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 '(7 + 9y)' equal to zero and attempt to solve: Simplifying 7 + 9y = 0 Solving 7 + 9y = 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 + 9y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9y = 0 + -7 9y = 0 + -7 Combine like terms: 0 + -7 = -7 9y = -7 Divide each side by '9'. y = -0.7777777778 Simplifying y = -0.7777777778Solution
y = {0, -0.7777777778}
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