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Simplifying (5y2 + -4y) + (2y2 + 6y + -9) = 0 Reorder the terms: (-4y + 5y2) + (2y2 + 6y + -9) = 0 Remove parenthesis around (-4y + 5y2) -4y + 5y2 + (2y2 + 6y + -9) = 0 Reorder the terms: -4y + 5y2 + (-9 + 6y + 2y2) = 0 Remove parenthesis around (-9 + 6y + 2y2) -4y + 5y2 + -9 + 6y + 2y2 = 0 Reorder the terms: -9 + -4y + 6y + 5y2 + 2y2 = 0 Combine like terms: -4y + 6y = 2y -9 + 2y + 5y2 + 2y2 = 0 Combine like terms: 5y2 + 2y2 = 7y2 -9 + 2y + 7y2 = 0 Solving -9 + 2y + 7y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -7y)(1 + -1y) = 0Subproblem 1
Set the factor '(-9 + -7y)' equal to zero and attempt to solve: Simplifying -9 + -7y = 0 Solving -9 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7y = 0 + 9 -7y = 0 + 9 Combine like terms: 0 + 9 = 9 -7y = 9 Divide each side by '-7'. y = -1.285714286 Simplifying y = -1.285714286Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {-1.285714286, 1}
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