If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x2) + -54x + 464 = 0 x2 + -54x + 464 = 0 Reorder the terms: 464 + -54x + x2 = 0 Solving 464 + -54x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-464' to each side of the equation. 464 + -54x + -464 + x2 = 0 + -464 Reorder the terms: 464 + -464 + -54x + x2 = 0 + -464 Combine like terms: 464 + -464 = 0 0 + -54x + x2 = 0 + -464 -54x + x2 = 0 + -464 Combine like terms: 0 + -464 = -464 -54x + x2 = -464 The x term is -54x. Take half its coefficient (-27). Square it (729) and add it to both sides. Add '729' to each side of the equation. -54x + 729 + x2 = -464 + 729 Reorder the terms: 729 + -54x + x2 = -464 + 729 Combine like terms: -464 + 729 = 265 729 + -54x + x2 = 265 Factor a perfect square on the left side: (x + -27)(x + -27) = 265 Calculate the square root of the right side: 16.278820596 Break this problem into two subproblems by setting (x + -27) equal to 16.278820596 and -16.278820596.Subproblem 1
x + -27 = 16.278820596 Simplifying x + -27 = 16.278820596 Reorder the terms: -27 + x = 16.278820596 Solving -27 + x = 16.278820596 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + x = 16.278820596 + 27 Combine like terms: -27 + 27 = 0 0 + x = 16.278820596 + 27 x = 16.278820596 + 27 Combine like terms: 16.278820596 + 27 = 43.278820596 x = 43.278820596 Simplifying x = 43.278820596Subproblem 2
x + -27 = -16.278820596 Simplifying x + -27 = -16.278820596 Reorder the terms: -27 + x = -16.278820596 Solving -27 + x = -16.278820596 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + x = -16.278820596 + 27 Combine like terms: -27 + 27 = 0 0 + x = -16.278820596 + 27 x = -16.278820596 + 27 Combine like terms: -16.278820596 + 27 = 10.721179404 x = 10.721179404 Simplifying x = 10.721179404Solution
The solution to the problem is based on the solutions from the subproblems. x = {43.278820596, 10.721179404}
| 2b+1.5a=3a | | 9-3x-12-4x= | | 6+10n-4n=22 | | 6X^2-13X=19 | | 672=16+w+6 | | 6(a+2)-5a=5 | | 2(x+5m+3)= | | 2=c*.75 | | 1/1-5/6 | | 1/1-5/6= | | 3w/4-5w/12 | | 38=a+4+17 | | 0=85t | | 12x+6=5x-22 | | (9x^2-18xy)-(5x+10y)= | | 3x-4=-3-2x | | 12x+7=-41 | | 17q=15.64 | | 3/4t=5/3 | | 10c+36=-2 | | -2r(-4s+r-8)= | | (0.5x-0.4)-(0.75x-0.6)= | | 3×4/3 | | 7n+3n+40=4n-26 | | 16=7t+9 | | Ln(3x)+ln(9)=0 | | 5m+1w+0.05c=100 | | x-3=x+15 | | (-9x+2)-(8x-2)= | | 3a^2+7a=2 | | 4-12=-4 | | 10.6t+15=205.8 |