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Simplifying 7y2 + -1[-5y + -1(4y2 + -8y)] + -1[2 + (17y + -2)] = 0 Reorder the terms: 7y2 + -1[-5y + -1(-8y + 4y2)] + -1[2 + (17y + -2)] = 0 7y2 + -1[-5y + (-8y * -1 + 4y2 * -1)] + -1[2 + (17y + -2)] = 0 7y2 + -1[-5y + (8y + -4y2)] + -1[2 + (17y + -2)] = 0 Combine like terms: -5y + 8y = 3y 7y2 + -1[3y + -4y2] + -1[2 + (17y + -2)] = 0 7y2 + [3y * -1 + -4y2 * -1] + -1[2 + (17y + -2)] = 0 7y2 + [-3y + 4y2] + -1[2 + (17y + -2)] = 0 Reorder the terms: 7y2 + -3y + 4y2 + -1[2 + (-2 + 17y)] = 0 Remove parenthesis around (-2 + 17y) 7y2 + -3y + 4y2 + -1[2 + -2 + 17y] = 0 Combine like terms: 2 + -2 = 0 7y2 + -3y + 4y2 + -1[0 + 17y] = 0 7y2 + -3y + 4y2 + -1[17y] = 0 Remove brackets around [17y] 7y2 + -3y + 4y2 + -1 * 17y = 0 Multiply -1 * 17 7y2 + -3y + 4y2 + -17y = 0 Reorder the terms: -3y + -17y + 7y2 + 4y2 = 0 Combine like terms: -3y + -17y = -20y -20y + 7y2 + 4y2 = 0 Combine like terms: 7y2 + 4y2 = 11y2 -20y + 11y2 = 0 Solving -20y + 11y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-20 + 11y) = 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 '(-20 + 11y)' equal to zero and attempt to solve: Simplifying -20 + 11y = 0 Solving -20 + 11y = 0 Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 11y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 11y = 0 + 20 11y = 0 + 20 Combine like terms: 0 + 20 = 20 11y = 20 Divide each side by '11'. y = 1.818181818 Simplifying y = 1.818181818Solution
y = {0, 1.818181818}
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