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Simplifying -4y(3y + -5) + -1y = -4(y + -5) Reorder the terms: -4y(-5 + 3y) + -1y = -4(y + -5) (-5 * -4y + 3y * -4y) + -1y = -4(y + -5) (20y + -12y2) + -1y = -4(y + -5) Reorder the terms: 20y + -1y + -12y2 = -4(y + -5) Combine like terms: 20y + -1y = 19y 19y + -12y2 = -4(y + -5) Reorder the terms: 19y + -12y2 = -4(-5 + y) 19y + -12y2 = (-5 * -4 + y * -4) 19y + -12y2 = (20 + -4y) Solving 19y + -12y2 = 20 + -4y Solving for variable 'y'. Reorder the terms: -20 + 19y + 4y + -12y2 = 20 + -4y + -20 + 4y Combine like terms: 19y + 4y = 23y -20 + 23y + -12y2 = 20 + -4y + -20 + 4y Reorder the terms: -20 + 23y + -12y2 = 20 + -20 + -4y + 4y Combine like terms: 20 + -20 = 0 -20 + 23y + -12y2 = 0 + -4y + 4y -20 + 23y + -12y2 = -4y + 4y Combine like terms: -4y + 4y = 0 -20 + 23y + -12y2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 1.666666667 + -1.916666667y + y2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -1.916666667y + -1.666666667 + y2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -1.916666667y + y2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -1.916666667y + y2 = 0 + -1.666666667 -1.916666667y + y2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -1.916666667y + y2 = -1.666666667 The y term is -1.916666667y. Take half its coefficient (-0.9583333335). Square it (0.9184027781) and add it to both sides. Add '0.9184027781' to each side of the equation. -1.916666667y + 0.9184027781 + y2 = -1.666666667 + 0.9184027781 Reorder the terms: 0.9184027781 + -1.916666667y + y2 = -1.666666667 + 0.9184027781 Combine like terms: -1.666666667 + 0.9184027781 = -0.7482638889 0.9184027781 + -1.916666667y + y2 = -0.7482638889 Factor a perfect square on the left side: (y + -0.9583333335)(y + -0.9583333335) = -0.7482638889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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