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Simplifying x8 + -2x4 + 1 = 0 Reorder the terms: 1 + -2x4 + x8 = 0 Solving 1 + -2x4 + x8 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x4)(1 + -1x4) = 0 Factor a difference between two squares. ((1 + x2)(1 + -1x2))(1 + -1x4) = 0 Factor a difference between two squares. ((1 + x2)((1 + x)(1 + -1x)))(1 + -1x4) = 0 Factor a difference between two squares. ((1 + x2)(1 + -1x2))(1 + x2)(1 + x)(1 + -1x) = 0 Factor a difference between two squares. ((1 + x2)((1 + x)(1 + -1x)))(1 + x2)(1 + x)(1 + -1x) = 0Subproblem 1
Set the factor '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 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 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 4
Set the factor '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 5
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 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 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 6
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-1, 1, -1, 1}
| x=10-18 | | 50-12y=-22 | | 9x+12=-24 | | 72-40y=-24 | | x(63-7x)=42 | | 63x-7x=42 | | 9x+4y=-24 | | -x^3-3x^2+4=0 | | 2x^2-4x-8=0 | | 7+12x=106+x | | 6x+17=13x-53 | | 5x-16=34 | | 12x-182=4x-14 | | 42-6x=12x+20 | | 7-9x=117-44x | | 4x+8=-76-10x | | 142-6x=4x+12 | | -16-6x=14-9x | | -8-4x=7-9x | | 67-2x=8x+7 | | 2x-(x+1)=11 | | 6d+4=2d+24 | | x^2+0.1x+25=0 | | 12=6b-4 | | 5c-6=3x+4 | | 14g-11=45 | | 3b+5=2b+12 | | 1.5(a+16)=a+18 | | 5+6b=26 | | 3b-4=2(b+12) | | 5(2b+6)=30 | | 6-4c=3c-8 |