If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4y3 + -12y2 + 4y = 0 Reorder the terms: 4y + -12y2 + 4y3 = 0 Solving 4y + -12y2 + 4y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(1 + -3y + y2) = 0 Ignore the factor 4.Subproblem 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 + -3y + y2)' equal to zero and attempt to solve: Simplifying 1 + -3y + y2 = 0 Solving 1 + -3y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -3y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + -3y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y + y2 = 0 + -1 -3y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -3y + y2 = -1 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 = -1 + 2.25 Reorder the terms: 2.25 + -3y + y2 = -1 + 2.25 Combine like terms: -1 + 2.25 = 1.25 2.25 + -3y + y2 = 1.25 Factor a perfect square on the left side: (y + -1.5)(y + -1.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (y + -1.5) equal to 1.118033989 and -1.118033989.Subproblem 1
y + -1.5 = 1.118033989 Simplifying y + -1.5 = 1.118033989 Reorder the terms: -1.5 + y = 1.118033989 Solving -1.5 + y = 1.118033989 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 = 1.118033989 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + y = 1.118033989 + 1.5 y = 1.118033989 + 1.5 Combine like terms: 1.118033989 + 1.5 = 2.618033989 y = 2.618033989 Simplifying y = 2.618033989Subproblem 2
y + -1.5 = -1.118033989 Simplifying y + -1.5 = -1.118033989 Reorder the terms: -1.5 + y = -1.118033989 Solving -1.5 + y = -1.118033989 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 = -1.118033989 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + y = -1.118033989 + 1.5 y = -1.118033989 + 1.5 Combine like terms: -1.118033989 + 1.5 = 0.381966011 y = 0.381966011 Simplifying y = 0.381966011Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.618033989, 0.381966011}Solution
y = {0, 2.618033989, 0.381966011}
| X-2(0)=0 | | 0.5x-0.8+x=0.97 | | 12x^3+6x^2+13x=0 | | A-7=12 | | -28.5=2+8.5(h+7.5) | | m/4=m+1/6 | | -24.5=-6.5d-8d | | 6m/4=m+1/6 | | 0=3x^8+22x^4+24 | | 8x-7y=0 | | 1/4(2x-7)=7 | | -16.5+6.5b=9(7.5b+5.5) | | 246/41 | | 9p+9-7p=29-10 | | X-2(0)=y | | 4y+3y-36+4=9+13 | | -9.5n+3.5-7.5n=19.5 | | p-3q/5=p+7/2+1 | | -x^3+5x^2-5x-3=0 | | 2/3=y-1/2 | | 8cos^2(x)-2= | | 7(1/7r) | | -x^3-2x^2+26=0 | | 6x^3+6x^2+3x=0 | | 6+3+7x-3x=20+5 | | -2y=1 | | -2y/-2 | | 3(5x+1)=7x+8 | | 6x^2+6y^2+6xy+2x+y+3=0 | | 8.4x+60.08=-11.6x+59.40 | | x/3+3/8=-9/12 | | 16+7a-5a=26+10 |