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Simplifying 5y6(y3 + -4y) + 7y9 = 0 Reorder the terms: 5y6(-4y + y3) + 7y9 = 0 (-4y * 5y6 + y3 * 5y6) + 7y9 = 0 (-20y7 + 5y9) + 7y9 = 0 Combine like terms: 5y9 + 7y9 = 12y9 -20y7 + 12y9 = 0 Solving -20y7 + 12y9 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y7'. 4y7(-5 + 3y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y7' equal to zero and attempt to solve: Simplifying y7 = 0 Solving y7 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5 + 3y2)' equal to zero and attempt to solve: Simplifying -5 + 3y2 = 0 Solving -5 + 3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3y2 = 0 + 5 3y2 = 0 + 5 Combine like terms: 0 + 5 = 5 3y2 = 5 Divide each side by '3'. y2 = 1.666666667 Simplifying y2 = 1.666666667 Take the square root of each side: y = {-1.290994449, 1.290994449}Solution
y = {-1.290994449, 1.290994449}
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