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Simplifying -98 = -28y + 2y2 Solving -98 = -28y + 2y2 Solving for variable 'y'. Reorder the terms: -98 + 28y + -2y2 = -28y + 28y + 2y2 + -2y2 Combine like terms: -28y + 28y = 0 -98 + 28y + -2y2 = 0 + 2y2 + -2y2 -98 + 28y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -98 + 28y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-49 + 14y + -1y2) = 0 Factor a trinomial. 2((-7 + y)(7 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 y = 7 Simplifying y = 7Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {7, 7}
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