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Simplifying (5y2 + 3) + -2(y2 + -1y + 1.5) = 0 Reorder the terms: (3 + 5y2) + -2(y2 + -1y + 1.5) = 0 Remove parenthesis around (3 + 5y2) 3 + 5y2 + -2(y2 + -1y + 1.5) = 0 Reorder the terms: 3 + 5y2 + -2(1.5 + -1y + y2) = 0 3 + 5y2 + (1.5 * -2 + -1y * -2 + y2 * -2) = 0 3 + 5y2 + (-3 + 2y + -2y2) = 0 Reorder the terms: 3 + -3 + 2y + 5y2 + -2y2 = 0 Combine like terms: 3 + -3 = 0 0 + 2y + 5y2 + -2y2 = 0 2y + 5y2 + -2y2 = 0 Combine like terms: 5y2 + -2y2 = 3y2 2y + 3y2 = 0 Solving 2y + 3y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(2 + 3y) = 0Subproblem 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 '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667Solution
y = {0, -0.6666666667}
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