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Simplifying 0 = 7y2 + 17y + 10 Reorder the terms: 0 = 10 + 17y + 7y2 Solving 0 = 10 + 17y + 7y2 Solving for variable 'y'. Combine like terms: 0 + -10 = -10 -10 + -17y + -7y2 = 10 + 17y + 7y2 + -10 + -17y + -7y2 Reorder the terms: -10 + -17y + -7y2 = 10 + -10 + 17y + -17y + 7y2 + -7y2 Combine like terms: 10 + -10 = 0 -10 + -17y + -7y2 = 0 + 17y + -17y + 7y2 + -7y2 -10 + -17y + -7y2 = 17y + -17y + 7y2 + -7y2 Combine like terms: 17y + -17y = 0 -10 + -17y + -7y2 = 0 + 7y2 + -7y2 -10 + -17y + -7y2 = 7y2 + -7y2 Combine like terms: 7y2 + -7y2 = 0 -10 + -17y + -7y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 17y + 7y2) = 0 Factor a trinomial. -1((10 + 7y)(1 + y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 7y)' equal to zero and attempt to solve: Simplifying 10 + 7y = 0 Solving 10 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7y = 0 + -10 7y = 0 + -10 Combine like terms: 0 + -10 = -10 7y = -10 Divide each side by '7'. y = -1.428571429 Simplifying y = -1.428571429Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-1.428571429, -1}
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