If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = -4.9t2 + 16t + 5 Reorder the terms: 10 = 5 + 16t + -4.9t2 Solving 10 = 5 + 16t + -4.9t2 Solving for variable 't'. Combine like terms: 10 + -5 = 5 5 + -16t + 4.9t2 = 5 + 16t + -4.9t2 + -5 + -16t + 4.9t2 Reorder the terms: 5 + -16t + 4.9t2 = 5 + -5 + 16t + -16t + -4.9t2 + 4.9t2 Combine like terms: 5 + -5 = 0 5 + -16t + 4.9t2 = 0 + 16t + -16t + -4.9t2 + 4.9t2 5 + -16t + 4.9t2 = 16t + -16t + -4.9t2 + 4.9t2 Combine like terms: 16t + -16t = 0 5 + -16t + 4.9t2 = 0 + -4.9t2 + 4.9t2 5 + -16t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 5 + -16t + 4.9t2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 1.020408163 + -3.265306122t + t2 = 0 Move the constant term to the right: Add '-1.020408163' to each side of the equation. 1.020408163 + -3.265306122t + -1.020408163 + t2 = 0 + -1.020408163 Reorder the terms: 1.020408163 + -1.020408163 + -3.265306122t + t2 = 0 + -1.020408163 Combine like terms: 1.020408163 + -1.020408163 = 0.000000000 0.000000000 + -3.265306122t + t2 = 0 + -1.020408163 -3.265306122t + t2 = 0 + -1.020408163 Combine like terms: 0 + -1.020408163 = -1.020408163 -3.265306122t + t2 = -1.020408163 The t term is -3.265306122t. Take half its coefficient (-1.632653061). Square it (2.665556018) and add it to both sides. Add '2.665556018' to each side of the equation. -3.265306122t + 2.665556018 + t2 = -1.020408163 + 2.665556018 Reorder the terms: 2.665556018 + -3.265306122t + t2 = -1.020408163 + 2.665556018 Combine like terms: -1.020408163 + 2.665556018 = 1.645147855 2.665556018 + -3.265306122t + t2 = 1.645147855 Factor a perfect square on the left side: (t + -1.632653061)(t + -1.632653061) = 1.645147855 Calculate the square root of the right side: 1.282633172 Break this problem into two subproblems by setting (t + -1.632653061) equal to 1.282633172 and -1.282633172.Subproblem 1
t + -1.632653061 = 1.282633172 Simplifying t + -1.632653061 = 1.282633172 Reorder the terms: -1.632653061 + t = 1.282633172 Solving -1.632653061 + t = 1.282633172 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.632653061' to each side of the equation. -1.632653061 + 1.632653061 + t = 1.282633172 + 1.632653061 Combine like terms: -1.632653061 + 1.632653061 = 0.000000000 0.000000000 + t = 1.282633172 + 1.632653061 t = 1.282633172 + 1.632653061 Combine like terms: 1.282633172 + 1.632653061 = 2.915286233 t = 2.915286233 Simplifying t = 2.915286233Subproblem 2
t + -1.632653061 = -1.282633172 Simplifying t + -1.632653061 = -1.282633172 Reorder the terms: -1.632653061 + t = -1.282633172 Solving -1.632653061 + t = -1.282633172 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.632653061' to each side of the equation. -1.632653061 + 1.632653061 + t = -1.282633172 + 1.632653061 Combine like terms: -1.632653061 + 1.632653061 = 0.000000000 0.000000000 + t = -1.282633172 + 1.632653061 t = -1.282633172 + 1.632653061 Combine like terms: -1.282633172 + 1.632653061 = 0.350019889 t = 0.350019889 Simplifying t = 0.350019889Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.915286233, 0.350019889}
| 2(x-20)+2x= | | 25/2-18/5 | | 13=1x-5-7x | | 6t-10=3t+10 | | 5.8w+(-2.9w)-18=5.2 | | 2p+85=5p+79 | | 6r-(-6r)-3r+12r+-20r+-6=1 | | H=-4.9t^2+16t+5 | | (8x+9)4=32x+36 | | 4+(3x)+x=48 | | 2+11x+6x^2=0 | | 14n+n= | | w+29=7w-97 | | 2q=24 | | 2(x-20)= | | 12k=12 | | 11x+-9x=20 | | n-41=-78 | | t+12=2t | | -6j-(-17j)+-12j=-15 | | 10=3x-1d | | 6(6x-7)=3(8+9) | | 4(2x+7)=8x-1 | | 14n+-10m+-23m= | | x+68=5x | | 2a-1=a+1 | | n-44=-43 | | 234=2x+40 | | 6h-5h+5=14 | | 5b+6bsquared= | | 8t=2/5c | | q+40=5q |