If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying t2 + 40t + 100 = 0 Reorder the terms: 100 + 40t + t2 = 0 Solving 100 + 40t + t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 40t + -100 + t2 = 0 + -100 Reorder the terms: 100 + -100 + 40t + t2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 40t + t2 = 0 + -100 40t + t2 = 0 + -100 Combine like terms: 0 + -100 = -100 40t + t2 = -100 The t term is 40t. Take half its coefficient (20). Square it (400) and add it to both sides. Add '400' to each side of the equation. 40t + 400 + t2 = -100 + 400 Reorder the terms: 400 + 40t + t2 = -100 + 400 Combine like terms: -100 + 400 = 300 400 + 40t + t2 = 300 Factor a perfect square on the left side: (t + 20)(t + 20) = 300 Calculate the square root of the right side: 17.320508076 Break this problem into two subproblems by setting (t + 20) equal to 17.320508076 and -17.320508076.Subproblem 1
t + 20 = 17.320508076 Simplifying t + 20 = 17.320508076 Reorder the terms: 20 + t = 17.320508076 Solving 20 + t = 17.320508076 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + t = 17.320508076 + -20 Combine like terms: 20 + -20 = 0 0 + t = 17.320508076 + -20 t = 17.320508076 + -20 Combine like terms: 17.320508076 + -20 = -2.679491924 t = -2.679491924 Simplifying t = -2.679491924Subproblem 2
t + 20 = -17.320508076 Simplifying t + 20 = -17.320508076 Reorder the terms: 20 + t = -17.320508076 Solving 20 + t = -17.320508076 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + t = -17.320508076 + -20 Combine like terms: 20 + -20 = 0 0 + t = -17.320508076 + -20 t = -17.320508076 + -20 Combine like terms: -17.320508076 + -20 = -37.320508076 t = -37.320508076 Simplifying t = -37.320508076Solution
The solution to the problem is based on the solutions from the subproblems. t = {-2.679491924, -37.320508076}
| 9x+16=4y | | (2-1j)/5j | | -2(4n+5)-8n=-34+8n | | n+7=2n-15 | | 6(y+4)=5y | | -8(1+3x)=28-6x | | 2x+8=154 | | 4x+3=5+(3+x) | | 0=2x^2-5x-25 | | -28+8b=6(4b+6) | | -4(z-9)=-5z | | 2=-4x | | -7-u/5=-14 | | -60h+507=0 | | (5x^3-4x^2-12x)/(2x^2-10x+12) | | 12x+23-7x-14=49 | | 2x+16=158 | | -5(w-9)-(-2w-9)=-4w | | -3k^2+11k+20=0 | | -60*4+267=0 | | -5(8a-3)=-32+7a | | 37-5b=-7(b-7) | | -(2/5)(2x-1)=6 | | 13x-6+2x-4=12x-2+2x | | -5(1-5x)+5(8x-2)=(-4x-8x) | | 3x-5(-6x-9)=-153 | | 4-2m=-3(4+6m) | | -4y-10=2y+8 | | 3(3x+6)+4=37+6x | | 3x+3y=36 | | 2x+19=89 | | 1/3(y-6)=y |