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Simplifying 4y3 + -2y + 3y3 = 0 Reorder the terms: -2y + 4y3 + 3y3 = 0 Combine like terms: 4y3 + 3y3 = 7y3 -2y + 7y3 = 0 Solving -2y + 7y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-2 + 7y2) = 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 + 7y2)' equal to zero and attempt to solve: Simplifying -2 + 7y2 = 0 Solving -2 + 7y2 = 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 + 7y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7y2 = 0 + 2 7y2 = 0 + 2 Combine like terms: 0 + 2 = 2 7y2 = 2 Divide each side by '7'. y2 = 0.2857142857 Simplifying y2 = 0.2857142857 Take the square root of each side: y = {-0.534522484, 0.534522484}Solution
y = {0, -0.534522484, 0.534522484}
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