If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x4 + 4x3 + 2x2 = 0 Reorder the terms: 2x2 + 4x3 + x4 = 0 Solving 2x2 + 4x3 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(2 + 4x + x2) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(2 + 4x + x2)' equal to zero and attempt to solve: Simplifying 2 + 4x + x2 = 0 Solving 2 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + 4x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 4x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x + x2 = 0 + -2 4x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 4x + x2 = -2 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -2 + 4 Reorder the terms: 4 + 4x + x2 = -2 + 4 Combine like terms: -2 + 4 = 2 4 + 4x + x2 = 2 Factor a perfect square on the left side: (x + 2)(x + 2) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (x + 2) equal to 1.414213562 and -1.414213562.Subproblem 1
x + 2 = 1.414213562 Simplifying x + 2 = 1.414213562 Reorder the terms: 2 + x = 1.414213562 Solving 2 + x = 1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 1.414213562 + -2 Combine like terms: 2 + -2 = 0 0 + x = 1.414213562 + -2 x = 1.414213562 + -2 Combine like terms: 1.414213562 + -2 = -0.585786438 x = -0.585786438 Simplifying x = -0.585786438Subproblem 2
x + 2 = -1.414213562 Simplifying x + 2 = -1.414213562 Reorder the terms: 2 + x = -1.414213562 Solving 2 + x = -1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -1.414213562 + -2 Combine like terms: 2 + -2 = 0 0 + x = -1.414213562 + -2 x = -1.414213562 + -2 Combine like terms: -1.414213562 + -2 = -3.414213562 x = -3.414213562 Simplifying x = -3.414213562Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.585786438, -3.414213562}Solution
x = {0, -0.585786438, -3.414213562}
| 4y-y+6y= | | 4x^2+81-36x= | | w+21=48 | | 10x=-5y | | -9+2x=4 | | 6y=66 | | x+3=-5-3x | | -6x-2(-4x+29)=-41 | | 8x+4=3x+8 | | 4-6r=4+5r | | x-19=34 | | 3x+x=20 | | c+4+2c=16 | | w+8=27 | | -2+2x=2+x | | 0.6w-0.5w+0.4w=4 | | 2-3b=7b | | -4+2x=9 | | 30+3=6n | | 6=6+4 | | 10x-6x-2x=2 | | 2n+15=3n+8 | | .5(4x-22)=-25 | | 3-4p=-9+2p | | .375d-.445=.625d+9 | | -6+2[5(x+1)+8]=38 | | 9(5a-4)-1=14-8a | | 4j^2-11j+6=0 | | 5x=10-3x | | 9+4x=6x+1 | | -4(x+3)=-24 | | 19=9x+1 |