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Simplifying 4y = 10y2 + -6 Reorder the terms: 4y = -6 + 10y2 Solving 4y = -6 + 10y2 Solving for variable 'y'. Reorder the terms: 6 + 4y + -10y2 = -6 + 10y2 + 6 + -10y2 Reorder the terms: 6 + 4y + -10y2 = -6 + 6 + 10y2 + -10y2 Combine like terms: -6 + 6 = 0 6 + 4y + -10y2 = 0 + 10y2 + -10y2 6 + 4y + -10y2 = 10y2 + -10y2 Combine like terms: 10y2 + -10y2 = 0 6 + 4y + -10y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 2y + -5y2) = 0 Factor a trinomial. 2((1 + -1y)(3 + 5y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 2
Set the factor '(3 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Divide each side by '5'. y = -0.6 Simplifying y = -0.6Solution
y = {1, -0.6}
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