If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 17x + -84 = -5 Reorder the terms: -84 + 17x + x2 = -5 Solving -84 + 17x + x2 = -5 Solving for variable 'x'. Reorder the terms: -84 + 5 + 17x + x2 = -5 + 5 Combine like terms: -84 + 5 = -79 -79 + 17x + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 -79 + 17x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '79' to each side of the equation. -79 + 17x + 79 + x2 = 0 + 79 Reorder the terms: -79 + 79 + 17x + x2 = 0 + 79 Combine like terms: -79 + 79 = 0 0 + 17x + x2 = 0 + 79 17x + x2 = 0 + 79 Combine like terms: 0 + 79 = 79 17x + x2 = 79 The x term is 17x. Take half its coefficient (8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. 17x + 72.25 + x2 = 79 + 72.25 Reorder the terms: 72.25 + 17x + x2 = 79 + 72.25 Combine like terms: 79 + 72.25 = 151.25 72.25 + 17x + x2 = 151.25 Factor a perfect square on the left side: (x + 8.5)(x + 8.5) = 151.25 Calculate the square root of the right side: 12.298373876 Break this problem into two subproblems by setting (x + 8.5) equal to 12.298373876 and -12.298373876.Subproblem 1
x + 8.5 = 12.298373876 Simplifying x + 8.5 = 12.298373876 Reorder the terms: 8.5 + x = 12.298373876 Solving 8.5 + x = 12.298373876 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -8.5 + x = 12.298373876 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + x = 12.298373876 + -8.5 x = 12.298373876 + -8.5 Combine like terms: 12.298373876 + -8.5 = 3.798373876 x = 3.798373876 Simplifying x = 3.798373876Subproblem 2
x + 8.5 = -12.298373876 Simplifying x + 8.5 = -12.298373876 Reorder the terms: 8.5 + x = -12.298373876 Solving 8.5 + x = -12.298373876 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -8.5 + x = -12.298373876 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + x = -12.298373876 + -8.5 x = -12.298373876 + -8.5 Combine like terms: -12.298373876 + -8.5 = -20.798373876 x = -20.798373876 Simplifying x = -20.798373876Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.798373876, -20.798373876}
| 23-3n=2n-7 | | 9=4 | | 3x+6-2x=6 | | -5=7+9x | | 2a+3a=9a | | 2x-12=4x+1 | | -19.4-15d+23d=4.4 | | 5x^2=-35x+sqrt*(36) | | S=(5)180 | | 3.5p+6=128 | | (y^2+5y+20)=0 | | 7p=9+8p | | 20+x=20.5 | | -33=-2a+15 | | -7y+3x=6 | | 4(u-3)-8u=(-36) | | 9x^3-72x^2-81x=0 | | 4(u-3)-8u=(-6) | | 24y^2-4=16y^2+14 | | 3-8(x-1)=67 | | 8n^2+16n-42=0 | | n=20t-t^2 | | 6k+11=65 | | -2(7x-9)=-94 | | -3(9+6x)=-225 | | -5x-10=5x-50 | | 4.5x+4z=2(17-z) | | 7+x=2x+1 | | 4(x-3)2=0 | | 6.8t-10-3.2t=3r-1 | | -3x+9=-6+18 | | (x+4)+(x+8)+x=54 |