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Simplifying 3y(5y + -2) = 12y Reorder the terms: 3y(-2 + 5y) = 12y (-2 * 3y + 5y * 3y) = 12y (-6y + 15y2) = 12y Solving -6y + 15y2 = 12y Solving for variable 'y'. Reorder the terms: -6y + -12y + 15y2 = 12y + -12y Combine like terms: -6y + -12y = -18y -18y + 15y2 = 12y + -12y Combine like terms: 12y + -12y = 0 -18y + 15y2 = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(-6 + 5y) = 0 Ignore the factor 3.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 '(-6 + 5y)' equal to zero and attempt to solve: Simplifying -6 + 5y = 0 Solving -6 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 0 + 6 5y = 0 + 6 Combine like terms: 0 + 6 = 6 5y = 6 Divide each side by '5'. y = 1.2 Simplifying y = 1.2Solution
y = {0, 1.2}
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