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Simplifying (y + 10)(y + 10) + -625 = 0 Reorder the terms: (10 + y)(y + 10) + -625 = 0 Reorder the terms: (10 + y)(10 + y) + -625 = 0 Multiply (10 + y) * (10 + y) (10(10 + y) + y(10 + y)) + -625 = 0 ((10 * 10 + y * 10) + y(10 + y)) + -625 = 0 ((100 + 10y) + y(10 + y)) + -625 = 0 (100 + 10y + (10 * y + y * y)) + -625 = 0 (100 + 10y + (10y + y2)) + -625 = 0 Combine like terms: 10y + 10y = 20y (100 + 20y + y2) + -625 = 0 Reorder the terms: 100 + -625 + 20y + y2 = 0 Combine like terms: 100 + -625 = -525 -525 + 20y + y2 = 0 Solving -525 + 20y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-35 + -1y)(15 + -1y) = 0Subproblem 1
Set the factor '(-35 + -1y)' equal to zero and attempt to solve: Simplifying -35 + -1y = 0 Solving -35 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1y = 0 + 35 -1y = 0 + 35 Combine like terms: 0 + 35 = 35 -1y = 35 Divide each side by '-1'. y = -35 Simplifying y = -35Subproblem 2
Set the factor '(15 + -1y)' equal to zero and attempt to solve: Simplifying 15 + -1y = 0 Solving 15 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = 0 + -15 -1y = 0 + -15 Combine like terms: 0 + -15 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15Solution
y = {-35, 15}
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