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Simplifying 2y2 + 3y + -4 + 3y2 + 5y = 0 Reorder the terms: -4 + 3y + 5y + 2y2 + 3y2 = 0 Combine like terms: 3y + 5y = 8y -4 + 8y + 2y2 + 3y2 = 0 Combine like terms: 2y2 + 3y2 = 5y2 -4 + 8y + 5y2 = 0 Solving -4 + 8y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(2 + -5y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 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 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(2 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 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 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4Solution
y = {-2, 0.4}
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