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Simplifying 5y2 + -2y3 + -7y2 = 5y3 Reorder the terms: 5y2 + -7y2 + -2y3 = 5y3 Combine like terms: 5y2 + -7y2 = -2y2 -2y2 + -2y3 = 5y3 Solving -2y2 + -2y3 = 5y3 Solving for variable 'y'. Combine like terms: -2y3 + -5y3 = -7y3 -2y2 + -7y3 = 5y3 + -5y3 Combine like terms: 5y3 + -5y3 = 0 -2y2 + -7y3 = 0 Factor out the Greatest Common Factor (GCF), '-1y2'. -1y2(2 + 7y) = 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 '(2 + 7y)' equal to zero and attempt to solve: Simplifying 2 + 7y = 0 Solving 2 + 7y = 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 + 7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 0 + -2 7y = 0 + -2 Combine like terms: 0 + -2 = -2 7y = -2 Divide each side by '7'. y = -0.2857142857 Simplifying y = -0.2857142857Solution
y = {0, -0.2857142857}
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