If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying y3 + -1y2 + -1y = 0 Reorder the terms: -1y + -1y2 + y3 = 0 Solving -1y + -1y2 + y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-1 + -1y + y2) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-1 + -1y + y2)' equal to zero and attempt to solve: Simplifying -1 + -1y + y2 = 0 Solving -1 + -1y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + -1y + 1 + y2 = 0 + 1 Reorder the terms: -1 + 1 + -1y + y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y + y2 = 0 + 1 -1y + y2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1y + y2 = 1 The y term is -1y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1y + 0.25 + y2 = 1 + 0.25 Reorder the terms: 0.25 + -1y + y2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + -1y + y2 = 1.25 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (y + -0.5) equal to 1.118033989 and -1.118033989.Subproblem 1
y + -0.5 = 1.118033989 Simplifying y + -0.5 = 1.118033989 Reorder the terms: -0.5 + y = 1.118033989 Solving -0.5 + y = 1.118033989 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + y = 1.118033989 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = 1.118033989 + 0.5 y = 1.118033989 + 0.5 Combine like terms: 1.118033989 + 0.5 = 1.618033989 y = 1.618033989 Simplifying y = 1.618033989Subproblem 2
y + -0.5 = -1.118033989 Simplifying y + -0.5 = -1.118033989 Reorder the terms: -0.5 + y = -1.118033989 Solving -0.5 + y = -1.118033989 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + y = -1.118033989 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = -1.118033989 + 0.5 y = -1.118033989 + 0.5 Combine like terms: -1.118033989 + 0.5 = -0.618033989 y = -0.618033989 Simplifying y = -0.618033989Solution
The solution to the problem is based on the solutions from the subproblems. y = {1.618033989, -0.618033989}Solution
y = {0, 1.618033989, -0.618033989}
| 6a+4b+c=40 | | (x-1)(0.5x+1)= | | 2x^3+4x^2+6x= | | X^2+36=20x | | 4x^2+4x-5= | | 9x^2-6x= | | y^2+8y+9=0 | | 4x+3=2-12x | | 0=x^2-25 | | 2x^2+5xy+3y^2= | | 9x^2-16y^2= | | x^2+Y^2-7xy=19 | | 9a^2-3ab-2b^2= | | X^3+x^2-2x= | | 4z^2+8z+40=0 | | 17x+119= | | x^3-12x+12=0 | | Lg(2x+3)=1.5 | | A=4(3.14)r^2 | | 9x^2-1x= | | 6x-28=2x+24 | | 15-5x= | | 2n^3+n^2-2n-1=0 | | 12x+4y=24 | | 3x^2-20x-32= | | -31-5x=x+53 | | 7x^2-847= | | 2x^2+3xy+y^2= | | 3x^2+21x= | | 3x^2+24= | | x+[x(.08)]=218040 | | x+x[x(.08)]=218040 |