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Simplifying (-2y2 + -4y) + (7y2 + y + -2) = 0 Reorder the terms: (-4y + -2y2) + (7y2 + y + -2) = 0 Remove parenthesis around (-4y + -2y2) -4y + -2y2 + (7y2 + y + -2) = 0 Reorder the terms: -4y + -2y2 + (-2 + y + 7y2) = 0 Remove parenthesis around (-2 + y + 7y2) -4y + -2y2 + -2 + y + 7y2 = 0 Reorder the terms: -2 + -4y + y + -2y2 + 7y2 = 0 Combine like terms: -4y + y = -3y -2 + -3y + -2y2 + 7y2 = 0 Combine like terms: -2y2 + 7y2 = 5y2 -2 + -3y + 5y2 = 0 Solving -2 + -3y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -5y)(1 + -1y) = 0Subproblem 1
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 = -0.4Subproblem 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 = {-0.4, 1}
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