If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 30 = 40t + -4.9t2 Solving 30 = 40t + -4.9t2 Solving for variable 't'. Reorder the terms: 30 + -40t + 4.9t2 = 40t + -40t + -4.9t2 + 4.9t2 Combine like terms: 40t + -40t = 0 30 + -40t + 4.9t2 = 0 + -4.9t2 + 4.9t2 30 + -40t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 30 + -40t + 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'. 6.12244898 + -8.163265306t + t2 = 0 Move the constant term to the right: Add '-6.12244898' to each side of the equation. 6.12244898 + -8.163265306t + -6.12244898 + t2 = 0 + -6.12244898 Reorder the terms: 6.12244898 + -6.12244898 + -8.163265306t + t2 = 0 + -6.12244898 Combine like terms: 6.12244898 + -6.12244898 = 0.00000000 0.00000000 + -8.163265306t + t2 = 0 + -6.12244898 -8.163265306t + t2 = 0 + -6.12244898 Combine like terms: 0 + -6.12244898 = -6.12244898 -8.163265306t + t2 = -6.12244898 The t term is -8.163265306t. Take half its coefficient (-4.081632653). Square it (16.65972511) and add it to both sides. Add '16.65972511' to each side of the equation. -8.163265306t + 16.65972511 + t2 = -6.12244898 + 16.65972511 Reorder the terms: 16.65972511 + -8.163265306t + t2 = -6.12244898 + 16.65972511 Combine like terms: -6.12244898 + 16.65972511 = 10.53727613 16.65972511 + -8.163265306t + t2 = 10.53727613 Factor a perfect square on the left side: (t + -4.081632653)(t + -4.081632653) = 10.53727613 Calculate the square root of the right side: 3.246117085 Break this problem into two subproblems by setting (t + -4.081632653) equal to 3.246117085 and -3.246117085.Subproblem 1
t + -4.081632653 = 3.246117085 Simplifying t + -4.081632653 = 3.246117085 Reorder the terms: -4.081632653 + t = 3.246117085 Solving -4.081632653 + t = 3.246117085 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.081632653' to each side of the equation. -4.081632653 + 4.081632653 + t = 3.246117085 + 4.081632653 Combine like terms: -4.081632653 + 4.081632653 = 0.000000000 0.000000000 + t = 3.246117085 + 4.081632653 t = 3.246117085 + 4.081632653 Combine like terms: 3.246117085 + 4.081632653 = 7.327749738 t = 7.327749738 Simplifying t = 7.327749738Subproblem 2
t + -4.081632653 = -3.246117085 Simplifying t + -4.081632653 = -3.246117085 Reorder the terms: -4.081632653 + t = -3.246117085 Solving -4.081632653 + t = -3.246117085 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.081632653' to each side of the equation. -4.081632653 + 4.081632653 + t = -3.246117085 + 4.081632653 Combine like terms: -4.081632653 + 4.081632653 = 0.000000000 0.000000000 + t = -3.246117085 + 4.081632653 t = -3.246117085 + 4.081632653 Combine like terms: -3.246117085 + 4.081632653 = 0.835515568 t = 0.835515568 Simplifying t = 0.835515568Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.327749738, 0.835515568}
| 2(5+x)=2x+10 | | 7x+8+x=24 | | 4x+12=-28-4x | | 0.12=-1.08 | | 5+3x=4x+1 | | 8z-15=57 | | -5x+(-5x)+(-5x)=x | | 9+3x=9+x | | 8=-2(4a+6) | | 12y+1=5 | | 1x+0.12=-1.08 | | 82+105+8x+11+10x=360 | | -15+5a=8 | | -k^2+10k+25=-5 | | 47=4x+6x+7 | | -7(2t+4)=-56 | | o=x-9 | | -6y(7y+3)= | | 5(f-2)=-30 | | 5l+8=43 | | 5w+6=2w+12 | | X^2+1.5x+1.125=1.625 | | s=274+80n | | -8(s+1)=-36 | | 0.06x+0.12=-0.04x-1.08 | | 140=7x+4x+8 | | 20+3f=14 | | -7x+3=-32 | | [x-8]=15 | | x^2-15+60=0 | | -5m^6-65=0 | | [3x]=21 |