If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (y + 2)(y + 3) + -1 = 0 Reorder the terms: (2 + y)(y + 3) + -1 = 0 Reorder the terms: (2 + y)(3 + y) + -1 = 0 Multiply (2 + y) * (3 + y) (2(3 + y) + y(3 + y)) + -1 = 0 ((3 * 2 + y * 2) + y(3 + y)) + -1 = 0 ((6 + 2y) + y(3 + y)) + -1 = 0 (6 + 2y + (3 * y + y * y)) + -1 = 0 (6 + 2y + (3y + y2)) + -1 = 0 Combine like terms: 2y + 3y = 5y (6 + 5y + y2) + -1 = 0 Reorder the terms: 6 + -1 + 5y + y2 = 0 Combine like terms: 6 + -1 = 5 5 + 5y + y2 = 0 Solving 5 + 5y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 5y + -5 + y2 = 0 + -5 Reorder the terms: 5 + -5 + 5y + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5y + y2 = 0 + -5 5y + y2 = 0 + -5 Combine like terms: 0 + -5 = -5 5y + y2 = -5 The y term is 5y. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5y + 6.25 + y2 = -5 + 6.25 Reorder the terms: 6.25 + 5y + y2 = -5 + 6.25 Combine like terms: -5 + 6.25 = 1.25 6.25 + 5y + y2 = 1.25 Factor a perfect square on the left side: (y + 2.5)(y + 2.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (y + 2.5) equal to 1.118033989 and -1.118033989.Subproblem 1
y + 2.5 = 1.118033989 Simplifying y + 2.5 = 1.118033989 Reorder the terms: 2.5 + y = 1.118033989 Solving 2.5 + y = 1.118033989 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + y = 1.118033989 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + y = 1.118033989 + -2.5 y = 1.118033989 + -2.5 Combine like terms: 1.118033989 + -2.5 = -1.381966011 y = -1.381966011 Simplifying y = -1.381966011Subproblem 2
y + 2.5 = -1.118033989 Simplifying y + 2.5 = -1.118033989 Reorder the terms: 2.5 + y = -1.118033989 Solving 2.5 + y = -1.118033989 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + y = -1.118033989 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + y = -1.118033989 + -2.5 y = -1.118033989 + -2.5 Combine like terms: -1.118033989 + -2.5 = -3.618033989 y = -3.618033989 Simplifying y = -3.618033989Solution
The solution to the problem is based on the solutions from the subproblems. y = {-1.381966011, -3.618033989}
| X(x-8)=5x | | 91-4x=2x+7 | | xy+y+1=y | | xy+y+1=1 | | 9(x-7)=7x-67 | | 5x+3-5=70-27 | | (n+2)*3=18 | | (x-5)(x-1)(x-2)=0 | | (n-6)*2=6 | | 3(a+4)-2a=7(a+6) | | (n+1)*10=20 | | 32-3x=41 | | 6x=2y-18 | | .333x-.25x+.083x=3 | | abs(2x-3)=14 | | abs(x^2-9)=x-1 | | 15b+12b^2= | | -6x+9x-8x=0 | | 6(4x+3)+6(4x+4)+6=48x+48 | | 6x+9x-8x=0 | | 10p+2+3p= | | 10x-6y=-2 | | 7(n+5)=84 | | 3-2x=4x+8 | | 15x+12x^2= | | 20-x=14 | | 3y^2-7-6=0 | | 2y=10x+8 | | v^2+3v-12=0 | | 61/6=61/4 | | 22-2x=16 | | 20-x=4 |