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Simplifying 7y = 5y2 + 2 Reorder the terms: 7y = 2 + 5y2 Solving 7y = 2 + 5y2 Solving for variable 'y'. Reorder the terms: -2 + 7y + -5y2 = 2 + 5y2 + -2 + -5y2 Reorder the terms: -2 + 7y + -5y2 = 2 + -2 + 5y2 + -5y2 Combine like terms: 2 + -2 = 0 -2 + 7y + -5y2 = 0 + 5y2 + -5y2 -2 + 7y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -2 + 7y + -5y2 = 0 Factor a trinomial. (-1 + y)(2 + -5y) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(2 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4Solution
y = {1, 0.4}
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