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Simplifying 4(3y + -5) * 14y = 0 Reorder the terms: 4(-5 + 3y) * 14y = 0 Reorder the terms for easier multiplication: 4 * 14y(-5 + 3y) = 0 Multiply 4 * 14 56y(-5 + 3y) = 0 (-5 * 56y + 3y * 56y) = 0 (-280y + 168y2) = 0 Solving -280y + 168y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '56y'. 56y(-5 + 3y) = 0 Ignore the factor 56.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 '(-5 + 3y)' equal to zero and attempt to solve: Simplifying -5 + 3y = 0 Solving -5 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3y = 0 + 5 3y = 0 + 5 Combine like terms: 0 + 5 = 5 3y = 5 Divide each side by '3'. y = 1.666666667 Simplifying y = 1.666666667Solution
y = {0, 1.666666667}
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