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Simplifying (-19 + -1y)(y) = 190 Reorder the terms for easier multiplication: y(-19 + -1y) = 190 (-19 * y + -1y * y) = 190 (-19y + -1y2) = 190 Solving -19y + -1y2 = 190 Solving for variable 'y'. Reorder the terms: -190 + -19y + -1y2 = 190 + -190 Combine like terms: 190 + -190 = 0 -190 + -19y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(190 + 19y + y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(190 + 19y + y2)' equal to zero and attempt to solve: Simplifying 190 + 19y + y2 = 0 Solving 190 + 19y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-190' to each side of the equation. 190 + 19y + -190 + y2 = 0 + -190 Reorder the terms: 190 + -190 + 19y + y2 = 0 + -190 Combine like terms: 190 + -190 = 0 0 + 19y + y2 = 0 + -190 19y + y2 = 0 + -190 Combine like terms: 0 + -190 = -190 19y + y2 = -190 The y term is 19y. Take half its coefficient (9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. 19y + 90.25 + y2 = -190 + 90.25 Reorder the terms: 90.25 + 19y + y2 = -190 + 90.25 Combine like terms: -190 + 90.25 = -99.75 90.25 + 19y + y2 = -99.75 Factor a perfect square on the left side: (y + 9.5)(y + 9.5) = -99.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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