If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 24x3 + 6x2 + -24x = 0 Reorder the terms: -24x + 6x2 + 24x3 = 0 Solving -24x + 6x2 + 24x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-4 + x + 4x2) = 0 Ignore the factor 6.Subproblem 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 '(-4 + x + 4x2)' equal to zero and attempt to solve: Simplifying -4 + x + 4x2 = 0 Solving -4 + x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1 + 0.25x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + 0.25x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + 0.25x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 0.25x + x2 = 0 + 1 0.25x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 0.25x + x2 = 1 The x term is x. 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. 0.25x + 0.25 + x2 = 1 + 0.25 Reorder the terms: 0.25 + 0.25x + x2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + 0.25x + x2 = 1.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (x + 0.5) equal to 1.118033989 and -1.118033989.Subproblem 1
x + 0.5 = 1.118033989 Simplifying x + 0.5 = 1.118033989 Reorder the terms: 0.5 + x = 1.118033989 Solving 0.5 + x = 1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.118033989 + -0.5 x = 1.118033989 + -0.5 Combine like terms: 1.118033989 + -0.5 = 0.618033989 x = 0.618033989 Simplifying x = 0.618033989Subproblem 2
x + 0.5 = -1.118033989 Simplifying x + 0.5 = -1.118033989 Reorder the terms: 0.5 + x = -1.118033989 Solving 0.5 + x = -1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.118033989 + -0.5 x = -1.118033989 + -0.5 Combine like terms: -1.118033989 + -0.5 = -1.618033989 x = -1.618033989 Simplifying x = -1.618033989Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.618033989, -1.618033989}Solution
x = {0, 0.618033989, -1.618033989}
| 4x^2+72x+3948=0 | | 4x^3-24x=1 | | 4x^3-24x+1=0 | | 4-3x+2x=18-2 | | (724*100)/2286 | | 18m=72/100 | | 3(3x-11)+7=2(3x-199)-x | | log[6](5x+4)=2 | | 3y^2-20j=-12 | | 4x+3y=195 | | e^5(x)=7 | | 5x+15=2.5(3x+4) | | h=-16t^2+35t+5 | | e(5x)=7 | | 17-3a=4c+3 | | X-3x-12=8x-56 | | 0.5p+0.2(10-p)=0 | | 3.4=20.4 | | 3(m-2)=-15 | | (16x-2)-180=(8x-9)+79 | | 8x-7/7-8x | | 2x+2y-160=0 | | -7/3=r | | x2-9/3x-x2-240 | | 3(2x^2-1)=-7 | | (W+1)w=(w-2)3x | | 12x=10.5 | | 55*X=22 | | 3x+4x-6=4x-3 | | (3/2)(3/2) | | 4/9d=8/9 | | 3x+4x-6=4x-3x |