If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -1y2 + 3y + 5 = 0 Reorder the terms: 5 + 3y + -1y2 = 0 Solving 5 + 3y + -1y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -5 + -3y + y2 = 0 Move the constant term to the right: Add '5' to each side of the equation. -5 + -3y + 5 + y2 = 0 + 5 Reorder the terms: -5 + 5 + -3y + y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3y + y2 = 0 + 5 -3y + y2 = 0 + 5 Combine like terms: 0 + 5 = 5 -3y + y2 = 5 The y term is -3y. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3y + 2.25 + y2 = 5 + 2.25 Reorder the terms: 2.25 + -3y + y2 = 5 + 2.25 Combine like terms: 5 + 2.25 = 7.25 2.25 + -3y + y2 = 7.25 Factor a perfect square on the left side: (y + -1.5)(y + -1.5) = 7.25 Calculate the square root of the right side: 2.692582404 Break this problem into two subproblems by setting (y + -1.5) equal to 2.692582404 and -2.692582404.Subproblem 1
y + -1.5 = 2.692582404 Simplifying y + -1.5 = 2.692582404 Reorder the terms: -1.5 + y = 2.692582404 Solving -1.5 + y = 2.692582404 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + y = 2.692582404 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + y = 2.692582404 + 1.5 y = 2.692582404 + 1.5 Combine like terms: 2.692582404 + 1.5 = 4.192582404 y = 4.192582404 Simplifying y = 4.192582404Subproblem 2
y + -1.5 = -2.692582404 Simplifying y + -1.5 = -2.692582404 Reorder the terms: -1.5 + y = -2.692582404 Solving -1.5 + y = -2.692582404 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + y = -2.692582404 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + y = -2.692582404 + 1.5 y = -2.692582404 + 1.5 Combine like terms: -2.692582404 + 1.5 = -1.192582404 y = -1.192582404 Simplifying y = -1.192582404Solution
The solution to the problem is based on the solutions from the subproblems. y = {4.192582404, -1.192582404}
| 9x+2=6x-4 | | (3k-2)(k+6)= | | 93-3x=10x+15 | | 9x-21=87 | | 3(4m-6)=12 | | 14x^2+5x+1=0 | | 3x+9=59-2x | | 2r=-14 | | -6(3b+2)+(19b-9)=0 | | 6[2-(2x-3)]=2(9-3x) | | 7x-5=4x-50 | | 4.6q-4.3-4.4q=-0.8q-4.8 | | 6x+33=16x-57 | | 10x-2(4x-3)=22 | | 8x-(4x+6)=30 | | 4x+50=7x+14 | | 6x+3=4x-5 | | -3y+1=-4y+9 | | 3(3x-2)-3=3(x-3)+42 | | 3x-42=12 | | 5+x=-3 | | 3y-10=-3-2y | | 8x-(2x+2)=8x-44 | | 8x+7=5x+25 | | 27-5x=4x+16 | | 7x-27=57 | | 4y-6=10y | | 5+2=20 | | 9x+1=7x+23 | | 12-7x=20-14x | | 3(8x-7)=34 | | 2x-3xy=4-3y |