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Simplifying 2y2 + -4y3 + -5y2 = 7y3 Reorder the terms: 2y2 + -5y2 + -4y3 = 7y3 Combine like terms: 2y2 + -5y2 = -3y2 -3y2 + -4y3 = 7y3 Solving -3y2 + -4y3 = 7y3 Solving for variable 'y'. Combine like terms: -4y3 + -7y3 = -11y3 -3y2 + -11y3 = 7y3 + -7y3 Combine like terms: 7y3 + -7y3 = 0 -3y2 + -11y3 = 0 Factor out the Greatest Common Factor (GCF), '-1y2'. -1y2(3 + 11y) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(3 + 11y)' equal to zero and attempt to solve: Simplifying 3 + 11y = 0 Solving 3 + 11y = 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 + 11y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 11y = 0 + -3 11y = 0 + -3 Combine like terms: 0 + -3 = -3 11y = -3 Divide each side by '11'. y = -0.2727272727 Simplifying y = -0.2727272727Solution
y = {0, -0.2727272727}
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