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Simplifying 2y * 5(y + -8) = -160 Reorder the terms: 2y * 5(-8 + y) = -160 Reorder the terms for easier multiplication: 2 * 5y(-8 + y) = -160 Multiply 2 * 5 10y(-8 + y) = -160 (-8 * 10y + y * 10y) = -160 (-80y + 10y2) = -160 Solving -80y + 10y2 = -160 Solving for variable 'y'. Reorder the terms: 160 + -80y + 10y2 = -160 + 160 Combine like terms: -160 + 160 = 0 160 + -80y + 10y2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(16 + -8y + y2) = 0 Factor a trinomial. 10((4 + -1y)(4 + -1y)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 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 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {4, 4}
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