If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x3 + 15x2 + 5x = 0 Reorder the terms: 5x + 15x2 + x3 = 0 Solving 5x + 15x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 15x + x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(5 + 15x + x2)' equal to zero and attempt to solve: Simplifying 5 + 15x + x2 = 0 Solving 5 + 15x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 15x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 15x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 15x + x2 = 0 + -5 15x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 15x + x2 = -5 The x term is 15x. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15x + 56.25 + x2 = -5 + 56.25 Reorder the terms: 56.25 + 15x + x2 = -5 + 56.25 Combine like terms: -5 + 56.25 = 51.25 56.25 + 15x + x2 = 51.25 Factor a perfect square on the left side: (x + 7.5)(x + 7.5) = 51.25 Calculate the square root of the right side: 7.158910532 Break this problem into two subproblems by setting (x + 7.5) equal to 7.158910532 and -7.158910532.Subproblem 1
x + 7.5 = 7.158910532 Simplifying x + 7.5 = 7.158910532 Reorder the terms: 7.5 + x = 7.158910532 Solving 7.5 + x = 7.158910532 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = 7.158910532 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = 7.158910532 + -7.5 x = 7.158910532 + -7.5 Combine like terms: 7.158910532 + -7.5 = -0.341089468 x = -0.341089468 Simplifying x = -0.341089468Subproblem 2
x + 7.5 = -7.158910532 Simplifying x + 7.5 = -7.158910532 Reorder the terms: 7.5 + x = -7.158910532 Solving 7.5 + x = -7.158910532 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = -7.158910532 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = -7.158910532 + -7.5 x = -7.158910532 + -7.5 Combine like terms: -7.158910532 + -7.5 = -14.658910532 x = -14.658910532 Simplifying x = -14.658910532Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.341089468, -14.658910532}Solution
x = {0, -0.341089468, -14.658910532}
| 14y=-6 | | 10m+6n+3=17 | | F=9/5(35)+32 | | (1/2+0.8)*7/2 | | 8x^2+140x+572=0 | | -321+1225= | | 15-10y=27-15y+9 | | =4x^3-9x^2-9 | | x(14-2x)(25-2x)=0 | | 10x+22= | | 7x+1-1=34 | | -2=1/3(3)+b | | (1/2+0.8)*31/2 | | 0.60(x+90)+x=118 | | m/8=2.5 | | x-1/2+x+2/3=x+1/6 | | m^4+4m^2+4=0 | | (1/2+0.8)31/2 | | 3x-5(2)=12 | | 4(1-3x)-13=-9x+2(4x+12) | | 2b^2y^34b/12y | | 7x-6=3x+12 | | 20+8x=25+15x+4 | | 12+3q=9q-18 | | 2(x+12)2x=3(x-2) | | 2x-4y=x+y | | x(8-2x)(13-2x)=0 | | 7(6)=8x-14 | | -3-5y=12 | | ay-d+b=3d+9b-3ay | | 150+2c+4p=20 | | 150+2c+4p=2p |