If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = x4 + -45x2 + 100 Reorder the terms: 0 = 100 + -45x2 + x4 Solving 0 = 100 + -45x2 + x4 Solving for variable 'x'. Combine like terms: 0 + -100 = -100 -100 + 45x2 + -1x4 = 100 + -45x2 + x4 + -100 + 45x2 + -1x4 Reorder the terms: -100 + 45x2 + -1x4 = 100 + -100 + -45x2 + 45x2 + x4 + -1x4 Combine like terms: 100 + -100 = 0 -100 + 45x2 + -1x4 = 0 + -45x2 + 45x2 + x4 + -1x4 -100 + 45x2 + -1x4 = -45x2 + 45x2 + x4 + -1x4 Combine like terms: -45x2 + 45x2 = 0 -100 + 45x2 + -1x4 = 0 + x4 + -1x4 -100 + 45x2 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -100 + 45x2 + -1x4 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 100 + -45x2 + x4 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + -45x2 + -100 + x4 = 0 + -100 Reorder the terms: 100 + -100 + -45x2 + x4 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -45x2 + x4 = 0 + -100 -45x2 + x4 = 0 + -100 Combine like terms: 0 + -100 = -100 -45x2 + x4 = -100 The x term is -45x2. Take half its coefficient (-22.5). Square it (506.25) and add it to both sides. Add '506.25' to each side of the equation. -45x2 + 506.25 + x4 = -100 + 506.25 Reorder the terms: 506.25 + -45x2 + x4 = -100 + 506.25 Combine like terms: -100 + 506.25 = 406.25 506.25 + -45x2 + x4 = 406.25 Factor a perfect square on the left side: (x2 + -22.5)(x2 + -22.5) = 406.25 Calculate the square root of the right side: 20.155644371 Break this problem into two subproblems by setting (x2 + -22.5) equal to 20.155644371 and -20.155644371.Subproblem 1
x2 + -22.5 = 20.155644371 Simplifying x2 + -22.5 = 20.155644371 Reorder the terms: -22.5 + x2 = 20.155644371 Solving -22.5 + x2 = 20.155644371 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22.5' to each side of the equation. -22.5 + 22.5 + x2 = 20.155644371 + 22.5 Combine like terms: -22.5 + 22.5 = 0.0 0.0 + x2 = 20.155644371 + 22.5 x2 = 20.155644371 + 22.5 Combine like terms: 20.155644371 + 22.5 = 42.655644371 x2 = 42.655644371 Simplifying x2 = 42.655644371 Take the square root of each side: x = {-6.531128874, 6.531128874}Subproblem 2
x2 + -22.5 = -20.155644371 Simplifying x2 + -22.5 = -20.155644371 Reorder the terms: -22.5 + x2 = -20.155644371 Solving -22.5 + x2 = -20.155644371 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22.5' to each side of the equation. -22.5 + 22.5 + x2 = -20.155644371 + 22.5 Combine like terms: -22.5 + 22.5 = 0.0 0.0 + x2 = -20.155644371 + 22.5 x2 = -20.155644371 + 22.5 Combine like terms: -20.155644371 + 22.5 = 2.344355629 x2 = 2.344355629 Simplifying x2 = 2.344355629 Take the square root of each side: x = {-1.531128874, 1.531128874}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-6.531128874, 6.531128874, -1.531128874, 1.531128874}
| 3x-5+2=100 | | -17=z-6 | | 4x+1=4x+14 | | 12x-2=28 | | Y^2-4y+1=-5 | | 5.8=-4+x | | 4x^9y^7+20x^7y^6+8xy= | | 10x^2+77=9-4x | | Ghm=10x | | 3m+4= | | (6x-5)(9x+1)=0 | | 3-8(64-24)= | | 6z^2-24z-az-4a= | | .03+3+450=y | | 7w^2-16w=-100 | | 104-5x=22x+20 | | 2m+3m+4+5m=54 | | log(logx)=2 | | 1000p+500h=182 | | 1000p+500h=82 | | log(x^2+6x-23)=2 | | w^2+10x+16=0 | | 34g*4(5-98)/68= | | x^2+y^2-8x+4y+16=0 | | 3-9x=24 | | -10-(-15x)=200 | | 8(x+6)=3(x+31) | | 4x-9=81-11x | | x=23.9 | | x+9=9x | | 10x+2=5x+52 | | 5+4x-2=42-9x |