If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 25y4 + 15y3 + -5y2 = 0 Reorder the terms: -5y2 + 15y3 + 25y4 = 0 Solving -5y2 + 15y3 + 25y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y2'. 5y2(-1 + 3y + 5y2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(-1 + 3y + 5y2)' equal to zero and attempt to solve: Simplifying -1 + 3y + 5y2 = 0 Solving -1 + 3y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -0.2 + 0.6y + y2 = 0 Move the constant term to the right: Add '0.2' to each side of the equation. -0.2 + 0.6y + 0.2 + y2 = 0 + 0.2 Reorder the terms: -0.2 + 0.2 + 0.6y + y2 = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.6y + y2 = 0 + 0.2 0.6y + y2 = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 0.6y + y2 = 0.2 The y term is 0.6y. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6y + 0.09 + y2 = 0.2 + 0.09 Reorder the terms: 0.09 + 0.6y + y2 = 0.2 + 0.09 Combine like terms: 0.2 + 0.09 = 0.29 0.09 + 0.6y + y2 = 0.29 Factor a perfect square on the left side: (y + 0.3)(y + 0.3) = 0.29 Calculate the square root of the right side: 0.538516481 Break this problem into two subproblems by setting (y + 0.3) equal to 0.538516481 and -0.538516481.Subproblem 1
y + 0.3 = 0.538516481 Simplifying y + 0.3 = 0.538516481 Reorder the terms: 0.3 + y = 0.538516481 Solving 0.3 + y = 0.538516481 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + y = 0.538516481 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + y = 0.538516481 + -0.3 y = 0.538516481 + -0.3 Combine like terms: 0.538516481 + -0.3 = 0.238516481 y = 0.238516481 Simplifying y = 0.238516481Subproblem 2
y + 0.3 = -0.538516481 Simplifying y + 0.3 = -0.538516481 Reorder the terms: 0.3 + y = -0.538516481 Solving 0.3 + y = -0.538516481 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + y = -0.538516481 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + y = -0.538516481 + -0.3 y = -0.538516481 + -0.3 Combine like terms: -0.538516481 + -0.3 = -0.838516481 y = -0.838516481 Simplifying y = -0.838516481Solution
The solution to the problem is based on the solutions from the subproblems. y = {0.238516481, -0.838516481}Solution
y = {0, 0.238516481, -0.838516481}
| Y=-16t^2+s | | 3/4x-15=14 | | 0.02x+70=0.09x | | x(x-3)=15 | | 3x-5=108 | | x+(x+1)+(x+2)+(x+3)=36 | | -3a^2-a/-2a-4 | | 5(10-2x)=25 | | z^2=1/i | | b-54=23 | | 7/12x-1/2=-5/6 | | 0.5x+0.2=0.1 | | 4-5x=13-(6x+3) | | 2-3a=6-2(2a+4) | | (45/111)=(15/x) | | 5x+15-2x-2=1 | | 360=5x+60 | | (7b-2a)-(5b+3a)= | | -8.2x=6.642 | | Cos(x)=0.4 | | 2x-27=11 | | 4x+17-2x+17=6 | | 4/5x10/7= | | 3x=-11.1 | | h(t)=-4.9t^2+180t | | -4+2x=4x+8 | | 3x=11.1 | | w^2-5w-12=0 | | 2(g+3)-8=-8 | | (y-8)-(y+2)=6y | | 7x-5x=-6 | | 10y^2-31y+15= |