If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying t2 + 13t + 21 = 0 Reorder the terms: 21 + 13t + t2 = 0 Solving 21 + 13t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + 13t + -21 + t2 = 0 + -21 Reorder the terms: 21 + -21 + 13t + t2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 13t + t2 = 0 + -21 13t + t2 = 0 + -21 Combine like terms: 0 + -21 = -21 13t + t2 = -21 The t term is 13t. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13t + 42.25 + t2 = -21 + 42.25 Reorder the terms: 42.25 + 13t + t2 = -21 + 42.25 Combine like terms: -21 + 42.25 = 21.25 42.25 + 13t + t2 = 21.25 Factor a perfect square on the left side: (t + 6.5)(t + 6.5) = 21.25 Calculate the square root of the right side: 4.609772229 Break this problem into two subproblems by setting (t + 6.5) equal to 4.609772229 and -4.609772229.Subproblem 1
t + 6.5 = 4.609772229 Simplifying t + 6.5 = 4.609772229 Reorder the terms: 6.5 + t = 4.609772229 Solving 6.5 + t = 4.609772229 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + t = 4.609772229 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + t = 4.609772229 + -6.5 t = 4.609772229 + -6.5 Combine like terms: 4.609772229 + -6.5 = -1.890227771 t = -1.890227771 Simplifying t = -1.890227771Subproblem 2
t + 6.5 = -4.609772229 Simplifying t + 6.5 = -4.609772229 Reorder the terms: 6.5 + t = -4.609772229 Solving 6.5 + t = -4.609772229 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + t = -4.609772229 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + t = -4.609772229 + -6.5 t = -4.609772229 + -6.5 Combine like terms: -4.609772229 + -6.5 = -11.109772229 t = -11.109772229 Simplifying t = -11.109772229Solution
The solution to the problem is based on the solutions from the subproblems. t = {-1.890227771, -11.109772229}
| 3x+475=7x+148 | | Tan^2x-4tanx+3=0 | | Y^4+4y^3+6y^2+8=0 | | 8(v+2)-2v=3(2v+1)-7 | | 2x^2-12t+6=0 | | 3y-y=1 | | -1/5k | | 10b-4p=1 | | 66530=.65x^2-.047x+2 | | 9k+5=-58 | | 4(2n-3)+2n=18 | | 7/3=k/6 | | n=m-14 | | (3x-5)2+(x+1)2=24 | | 4(x-2)+3(-x+4)=-2x+6 | | 1/2t6=-7 | | 4(2n-3)+2n= | | 3x+29=62 | | 1x2/11 | | 3/10=z/8 | | 2x-3/4-x-2/3=2 | | y+c=6 | | 10*10*10*10*10*10*10*10*10*10*10*10= | | x^2-6000x-2880000=0 | | 2c-5=3c+1 | | 4x-9=-53 | | x^2+600x-2880000=0 | | 6r+3s= | | 2/5b=-58 | | -6.2=y+-6.2 | | 49(m+1-3)=441 | | x^2-600x-2880000=0 |