If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x3 + 24x2 + 18x = 0 Reorder the terms: 18x + 24x2 + x3 = 0 Solving 18x + 24x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(18 + 24x + 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 '(18 + 24x + x2)' equal to zero and attempt to solve: Simplifying 18 + 24x + x2 = 0 Solving 18 + 24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 24x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + 24x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 24x + x2 = 0 + -18 24x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 24x + x2 = -18 The x term is 24x. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24x + 144 + x2 = -18 + 144 Reorder the terms: 144 + 24x + x2 = -18 + 144 Combine like terms: -18 + 144 = 126 144 + 24x + x2 = 126 Factor a perfect square on the left side: (x + 12)(x + 12) = 126 Calculate the square root of the right side: 11.22497216 Break this problem into two subproblems by setting (x + 12) equal to 11.22497216 and -11.22497216.Subproblem 1
x + 12 = 11.22497216 Simplifying x + 12 = 11.22497216 Reorder the terms: 12 + x = 11.22497216 Solving 12 + x = 11.22497216 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 11.22497216 + -12 Combine like terms: 12 + -12 = 0 0 + x = 11.22497216 + -12 x = 11.22497216 + -12 Combine like terms: 11.22497216 + -12 = -0.77502784 x = -0.77502784 Simplifying x = -0.77502784Subproblem 2
x + 12 = -11.22497216 Simplifying x + 12 = -11.22497216 Reorder the terms: 12 + x = -11.22497216 Solving 12 + x = -11.22497216 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = -11.22497216 + -12 Combine like terms: 12 + -12 = 0 0 + x = -11.22497216 + -12 x = -11.22497216 + -12 Combine like terms: -11.22497216 + -12 = -23.22497216 x = -23.22497216 Simplifying x = -23.22497216Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.77502784, -23.22497216}Solution
x = {0, -0.77502784, -23.22497216}
| -10x^2+24x-80=0 | | ln(x-3)-ln(7x-24)=ln(1/x) | | 11.3y=4.25 | | 3x(4x+7)-7(4x+7)=0 | | -3-5(8+6k)= | | 2+2x=5x+14 | | 5sin(6x)=2 | | 7=35b | | 4x+9=-3x+30 | | l-p=8 | | -17-(-34)=x/9 | | 6r^2-20-26r=0 | | 2t^2-18-6y=y^2-3y | | 6sin(120x)= | | 4x+6=-7x+116 | | x^2+y^2+6x-10y=0 | | g(x)=(0.20)2x | | 6x-6=4x-20 | | x=23y | | (x-4)=-3 | | 40m+19=17+111 | | 2r-3.1=3.1 | | 4t=5+4 | | 9/4 | | 7x+5=-3x+45 | | 0.40m+0.45c=1400 | | 1+7x=4x+13 | | 16m-3=4m+9 | | 3x+2y=5000 | | (9)x(5)= | | 5y^4-20y^2=0 | | 7x-x+3=45 |