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Simplifying 16 + -1y2 = 10(4 + y) 16 + -1y2 = (4 * 10 + y * 10) 16 + -1y2 = (40 + 10y) Solving 16 + -1y2 = 40 + 10y Solving for variable 'y'. Reorder the terms: 16 + -40 + -10y + -1y2 = 40 + 10y + -40 + -10y Combine like terms: 16 + -40 = -24 -24 + -10y + -1y2 = 40 + 10y + -40 + -10y Reorder the terms: -24 + -10y + -1y2 = 40 + -40 + 10y + -10y Combine like terms: 40 + -40 = 0 -24 + -10y + -1y2 = 0 + 10y + -10y -24 + -10y + -1y2 = 10y + -10y Combine like terms: 10y + -10y = 0 -24 + -10y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(24 + 10y + y2) = 0 Factor a trinomial. -1((6 + y)(4 + y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {-6, -4}
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