If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x4 + -6x2 + 7 = 0 Reorder the terms: 7 + -6x2 + x4 = 0 Solving 7 + -6x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + -6x2 + -7 + x4 = 0 + -7 Reorder the terms: 7 + -7 + -6x2 + x4 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x2 + x4 = 0 + -7 -6x2 + x4 = 0 + -7 Combine like terms: 0 + -7 = -7 -6x2 + x4 = -7 The x term is -6x2. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x2 + 9 + x4 = -7 + 9 Reorder the terms: 9 + -6x2 + x4 = -7 + 9 Combine like terms: -7 + 9 = 2 9 + -6x2 + x4 = 2 Factor a perfect square on the left side: (x2 + -3)(x2 + -3) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (x2 + -3) equal to 1.414213562 and -1.414213562.Subproblem 1
x2 + -3 = 1.414213562 Simplifying x2 + -3 = 1.414213562 Reorder the terms: -3 + x2 = 1.414213562 Solving -3 + x2 = 1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x2 = 1.414213562 + 3 Combine like terms: -3 + 3 = 0 0 + x2 = 1.414213562 + 3 x2 = 1.414213562 + 3 Combine like terms: 1.414213562 + 3 = 4.414213562 x2 = 4.414213562 Simplifying x2 = 4.414213562 Take the square root of each side: x = {-2.10100299, 2.10100299}Subproblem 2
x2 + -3 = -1.414213562 Simplifying x2 + -3 = -1.414213562 Reorder the terms: -3 + x2 = -1.414213562 Solving -3 + x2 = -1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x2 = -1.414213562 + 3 Combine like terms: -3 + 3 = 0 0 + x2 = -1.414213562 + 3 x2 = -1.414213562 + 3 Combine like terms: -1.414213562 + 3 = 1.585786438 x2 = 1.585786438 Simplifying x2 = 1.585786438 Take the square root of each side: x = {-1.259280127, 1.259280127}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-2.10100299, 2.10100299, -1.259280127, 1.259280127}
| -5+2b=50 | | p+86=100 | | 4x-2=z | | -44=w+42 | | -2(z-11)=6 | | 5x-6=5+4x | | 33-(2c+3)=2(c+5)+6 | | 5s-7=3s+41 | | -a-10=10 | | 15(x+1)=5(x+2) | | 2+a=17 | | 40*n=0 | | 3(4k-1/3)=12k-1 | | -10.2+c=-8.14 | | -r^2+11r-18=0 | | .50x+.6(70)=0.25(74) | | 3(x+4)=2(x-3) | | x(x-7)(x-5)=0 | | 50=b+25 | | 6x^2-63x=0 | | 2(x+6)+2x=3(x+12) | | t^2+4t-91=0 | | 5x+6=-38 | | 3(5+x)=57 | | 3=s/0.3 | | 2a-5=12.6 | | 7(c+6)-12=5(c-6)-12c | | 3(x+3)+3x=5(x+4) | | -x-3=18 | | (6x)+x=1456 | | w^2-5w+5.5=0 | | 2(9+x)=42 |