If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x3 + -21x2 + -24x = 0 Reorder the terms: -24x + -21x2 + 4x3 = 0 Solving -24x + -21x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-24 + -21x + 4x2) = 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 '(-24 + -21x + 4x2)' equal to zero and attempt to solve: Simplifying -24 + -21x + 4x2 = 0 Solving -24 + -21x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -6 + -5.25x + x2 = 0 Move the constant term to the right: Add '6' to each side of the equation. -6 + -5.25x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + -5.25x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5.25x + x2 = 0 + 6 -5.25x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 -5.25x + x2 = 6 The x term is -5.25x. Take half its coefficient (-2.625). Square it (6.890625) and add it to both sides. Add '6.890625' to each side of the equation. -5.25x + 6.890625 + x2 = 6 + 6.890625 Reorder the terms: 6.890625 + -5.25x + x2 = 6 + 6.890625 Combine like terms: 6 + 6.890625 = 12.890625 6.890625 + -5.25x + x2 = 12.890625 Factor a perfect square on the left side: (x + -2.625)(x + -2.625) = 12.890625 Calculate the square root of the right side: 3.590351654 Break this problem into two subproblems by setting (x + -2.625) equal to 3.590351654 and -3.590351654.Subproblem 1
x + -2.625 = 3.590351654 Simplifying x + -2.625 = 3.590351654 Reorder the terms: -2.625 + x = 3.590351654 Solving -2.625 + x = 3.590351654 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.625' to each side of the equation. -2.625 + 2.625 + x = 3.590351654 + 2.625 Combine like terms: -2.625 + 2.625 = 0.000 0.000 + x = 3.590351654 + 2.625 x = 3.590351654 + 2.625 Combine like terms: 3.590351654 + 2.625 = 6.215351654 x = 6.215351654 Simplifying x = 6.215351654Subproblem 2
x + -2.625 = -3.590351654 Simplifying x + -2.625 = -3.590351654 Reorder the terms: -2.625 + x = -3.590351654 Solving -2.625 + x = -3.590351654 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.625' to each side of the equation. -2.625 + 2.625 + x = -3.590351654 + 2.625 Combine like terms: -2.625 + 2.625 = 0.000 0.000 + x = -3.590351654 + 2.625 x = -3.590351654 + 2.625 Combine like terms: -3.590351654 + 2.625 = -0.965351654 x = -0.965351654 Simplifying x = -0.965351654Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.215351654, -0.965351654}Solution
x = {0, 6.215351654, -0.965351654}
| 4/10=28/x | | (2x/3)-(x/6=6 | | X/7-4x-3/2=1/2-x | | 7=-3+y | | 5X-13X-28=0 | | (0.1)2-2(0.1)= | | 22=-8(4f-6) | | 3b-34-2b=11 | | 9.9+x=0.1 | | -5=-2p-5q | | -1/2*4x | | 3p+6r=465 | | 17-3x=-7x+9 | | 2x-78=76-5x | | 64x=16/4x | | 2x^3-3x^2-9x+5=0 | | 1/4x=2-1/2 | | 3(x+8)-2(x+12)=48 | | [2d-5]=3 | | .25x=-13 | | 4/7z=3 | | 6*(sin(20x))+1=1 | | -1/4y-1=6.5 | | 4(n+9)+5(n+7)= | | 6sin(20x)+1=1 | | 7(x+7)-4(x-4)=77 | | 1.05x=9.1-7 | | t-(5t-7)/2=3/4 | | -4r-3(r+3)=8 | | 5(4+x)=(4x-1)-50 | | 891.25/4.75 | | 6x-7(x+3)=17 |