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Simplifying 3y(y + -4) + -5y(y + 8) = 0 Reorder the terms: 3y(-4 + y) + -5y(y + 8) = 0 (-4 * 3y + y * 3y) + -5y(y + 8) = 0 (-12y + 3y2) + -5y(y + 8) = 0 Reorder the terms: -12y + 3y2 + -5y(8 + y) = 0 -12y + 3y2 + (8 * -5y + y * -5y) = 0 -12y + 3y2 + (-40y + -5y2) = 0 Reorder the terms: -12y + -40y + 3y2 + -5y2 = 0 Combine like terms: -12y + -40y = -52y -52y + 3y2 + -5y2 = 0 Combine like terms: 3y2 + -5y2 = -2y2 -52y + -2y2 = 0 Solving -52y + -2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-2y'. -2y(26 + y) = 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 '(26 + y)' equal to zero and attempt to solve: Simplifying 26 + y = 0 Solving 26 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + y = 0 + -26 y = 0 + -26 Combine like terms: 0 + -26 = -26 y = -26 Simplifying y = -26Solution
y = {0, -26}
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