If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -1x4 + 2x3 + x2 = 0 Reorder the terms: x2 + 2x3 + -1x4 = 0 Solving x2 + 2x3 + -1x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(1 + 2x + -1x2) = 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 '(1 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying 1 + 2x + -1x2 = 0 Solving 1 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -1 + -2x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + -2x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -2x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x + x2 = 0 + 1 -2x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2x + x2 = 1 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = 1 + 1 Reorder the terms: 1 + -2x + x2 = 1 + 1 Combine like terms: 1 + 1 = 2 1 + -2x + x2 = 2 Factor a perfect square on the left side: (x + -1)(x + -1) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (x + -1) equal to 1.414213562 and -1.414213562.Subproblem 1
x + -1 = 1.414213562 Simplifying x + -1 = 1.414213562 Reorder the terms: -1 + x = 1.414213562 Solving -1 + x = 1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 1.414213562 + 1 Combine like terms: -1 + 1 = 0 0 + x = 1.414213562 + 1 x = 1.414213562 + 1 Combine like terms: 1.414213562 + 1 = 2.414213562 x = 2.414213562 Simplifying x = 2.414213562Subproblem 2
x + -1 = -1.414213562 Simplifying x + -1 = -1.414213562 Reorder the terms: -1 + x = -1.414213562 Solving -1 + x = -1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -1.414213562 + 1 Combine like terms: -1 + 1 = 0 0 + x = -1.414213562 + 1 x = -1.414213562 + 1 Combine like terms: -1.414213562 + 1 = -0.414213562 x = -0.414213562 Simplifying x = -0.414213562Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.414213562, -0.414213562}Solution
x = {0, 2.414213562, -0.414213562}
| 16p=0 | | 8x+1+3x+1+90=180 | | k+12=4k | | 8x+6=5(x+12) | | (5w+6)(8+w)=0 | | 10=5x-12 | | 4x-2+6-5x=10+-3+2x | | 1nx=4 | | 1nc=4 | | .3(6-x)=-1 | | 5k^2-7k+12=4(-2k+3) | | -12x-44x+24=0 | | 3(x+5)+8x= | | 4x+3y=94 | | 12(cos)x=7 | | 2(3x+1)+3(4x-2)=0 | | 4(3+6x)-5=103 | | 2x-7+67=180 | | 7p+10=5b+20 | | 2(y+6)=3y-1 | | (7x+9)(x-1)=0 | | 15x(2)+3x=100-2x | | (x^2-5x+1)-(x^2+2x+5)= | | 200=0.04v^2+1.1v | | 2x-21=17 | | 3[x+2]=5x-2 | | 11x-237=3x-13 | | s^2+6s+4=0 | | x+4+x+2=4+2 | | 2x-16=x+5 | | 20(n)=2n-1 | | O(n)=3n-1 |