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Simplifying y(5y2 + 9) + -2(7y + -6y3) = 0 Reorder the terms: y(9 + 5y2) + -2(7y + -6y3) = 0 (9 * y + 5y2 * y) + -2(7y + -6y3) = 0 (9y + 5y3) + -2(7y + -6y3) = 0 9y + 5y3 + (7y * -2 + -6y3 * -2) = 0 9y + 5y3 + (-14y + 12y3) = 0 Reorder the terms: 9y + -14y + 5y3 + 12y3 = 0 Combine like terms: 9y + -14y = -5y -5y + 5y3 + 12y3 = 0 Combine like terms: 5y3 + 12y3 = 17y3 -5y + 17y3 = 0 Solving -5y + 17y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-5 + 17y2) = 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 '(-5 + 17y2)' equal to zero and attempt to solve: Simplifying -5 + 17y2 = 0 Solving -5 + 17y2 = 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 + 17y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 17y2 = 0 + 5 17y2 = 0 + 5 Combine like terms: 0 + 5 = 5 17y2 = 5 Divide each side by '17'. y2 = 0.2941176471 Simplifying y2 = 0.2941176471 Take the square root of each side: y = {-0.542326145, 0.542326145}Solution
y = {0, -0.542326145, 0.542326145}
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