If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x3 + 5x = 13x2 Reorder the terms: 5x + 4x3 = 13x2 Solving 5x + 4x3 = 13x2 Solving for variable 'x'. Reorder the terms: 5x + -13x2 + 4x3 = 13x2 + -13x2 Combine like terms: 13x2 + -13x2 = 0 5x + -13x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -13x + 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 '(5 + -13x + 4x2)' equal to zero and attempt to solve: Simplifying 5 + -13x + 4x2 = 0 Solving 5 + -13x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -3.25x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -3.25x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -3.25x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -3.25x + x2 = 0 + -1.25 -3.25x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -3.25x + x2 = -1.25 The x term is -3.25x. Take half its coefficient (-1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. -3.25x + 2.640625 + x2 = -1.25 + 2.640625 Reorder the terms: 2.640625 + -3.25x + x2 = -1.25 + 2.640625 Combine like terms: -1.25 + 2.640625 = 1.390625 2.640625 + -3.25x + x2 = 1.390625 Factor a perfect square on the left side: (x + -1.625)(x + -1.625) = 1.390625 Calculate the square root of the right side: 1.179247642 Break this problem into two subproblems by setting (x + -1.625) equal to 1.179247642 and -1.179247642.Subproblem 1
x + -1.625 = 1.179247642 Simplifying x + -1.625 = 1.179247642 Reorder the terms: -1.625 + x = 1.179247642 Solving -1.625 + x = 1.179247642 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.625' to each side of the equation. -1.625 + 1.625 + x = 1.179247642 + 1.625 Combine like terms: -1.625 + 1.625 = 0.000 0.000 + x = 1.179247642 + 1.625 x = 1.179247642 + 1.625 Combine like terms: 1.179247642 + 1.625 = 2.804247642 x = 2.804247642 Simplifying x = 2.804247642Subproblem 2
x + -1.625 = -1.179247642 Simplifying x + -1.625 = -1.179247642 Reorder the terms: -1.625 + x = -1.179247642 Solving -1.625 + x = -1.179247642 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.625' to each side of the equation. -1.625 + 1.625 + x = -1.179247642 + 1.625 Combine like terms: -1.625 + 1.625 = 0.000 0.000 + x = -1.179247642 + 1.625 x = -1.179247642 + 1.625 Combine like terms: -1.179247642 + 1.625 = 0.445752358 x = 0.445752358 Simplifying x = 0.445752358Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.804247642, 0.445752358}Solution
x = {0, 2.804247642, 0.445752358}
| -[3x-(2x+6)]=-1-[3(2x-4)-3x] | | 8.12x+0.32=3.76x-3.23 | | 14x-3(x+1)=63 | | -10(s+3)=51 | | r^2+2r+4=0 | | y+6-10=0 | | 2/x+6=3/5x-11 | | 3x+3-4x=89 | | -10s+-30=51 | | 3x^3+5x^2=x | | 3.5x=y-7 | | 5.6-0.32*s=1.12 | | 8x+10-9x=89 | | 10.57x-16.75x+17.66=70.84 | | -3m+24-3(m-4)=6m-(4m-5)-2m+1 | | -sin^2x+5cosx=4 | | 4k^2=49 | | Ln(3x-1)=1.5 | | -[8z-(14z+9)]=9+(5z+8) | | 2(x-3)=x-6 | | 3t^2-48t+33=0 | | 4y^3-2y+3y^3= | | 9a=10(6a-1) | | 2x^3=3x-5x^2 | | -(c-8)=1 | | 3ab+7c= | | 8z-5=8 | | 3p-2(5-2p)=2(p-6)-23 | | 90+30x=2500 | | 0.23*h+2.34=6.25 | | 8(9-5)= | | log(x+8)13=1 |