If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x4 + -8x2 + 1 = 0 Reorder the terms: 1 + -8x2 + x4 = 0 Solving 1 + -8x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -8x2 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + -8x2 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x2 + x4 = 0 + -1 -8x2 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 -8x2 + x4 = -1 The x term is -8x2. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x2 + 16 + x4 = -1 + 16 Reorder the terms: 16 + -8x2 + x4 = -1 + 16 Combine like terms: -1 + 16 = 15 16 + -8x2 + x4 = 15 Factor a perfect square on the left side: (x2 + -4)(x2 + -4) = 15 Calculate the square root of the right side: 3.872983346 Break this problem into two subproblems by setting (x2 + -4) equal to 3.872983346 and -3.872983346.Subproblem 1
x2 + -4 = 3.872983346 Simplifying x2 + -4 = 3.872983346 Reorder the terms: -4 + x2 = 3.872983346 Solving -4 + x2 = 3.872983346 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x2 = 3.872983346 + 4 Combine like terms: -4 + 4 = 0 0 + x2 = 3.872983346 + 4 x2 = 3.872983346 + 4 Combine like terms: 3.872983346 + 4 = 7.872983346 x2 = 7.872983346 Simplifying x2 = 7.872983346 Take the square root of each side: x = {-2.805883701, 2.805883701}Subproblem 2
x2 + -4 = -3.872983346 Simplifying x2 + -4 = -3.872983346 Reorder the terms: -4 + x2 = -3.872983346 Solving -4 + x2 = -3.872983346 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x2 = -3.872983346 + 4 Combine like terms: -4 + 4 = 0 0 + x2 = -3.872983346 + 4 x2 = -3.872983346 + 4 Combine like terms: -3.872983346 + 4 = 0.127016654 x2 = 0.127016654 Simplifying x2 = 0.127016654 Take the square root of each side: x = {-0.356393959, 0.356393959}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-2.805883701, 2.805883701, -0.356393959, 0.356393959}
| -x^2+25x=0 | | -x^2+7=-42 | | 8x-3=2+3x | | 2.9p+1.7=3.5+2.3p | | 12-x=-7 | | -3(2b+2)+(7b-4)=0 | | 7x-12/2=43 | | y=2(x^2-4x-8) | | 7-5a=-a-12 | | 2m=5m-30 | | y=2x^2-8x-16 | | a+1.24=2a-1 | | y=2x^2-8-16 | | -3(3s-1)-3=3(7s+6)-5 | | x^2+27=31 | | (8-v)(5v-4)=0 | | (3-r)+(4r-3s+2)-(1-s)= | | y*0.1=0.04 | | 4a+2.5b=13 | | 2(m+12)=-2m | | (b+4)(b-4)= | | 1x+23=-17 | | y^2+8y+16= | | 64-4x=5x+23 | | -4h-8=-4-5h | | 9-7x=159-42 | | x=-5(3y-6)+3(2y-8) | | -6x+2=-40 | | 8(1+3*5)= | | 10(N+3)= | | 0.45=0.9*y | | 15b^2+10b= |