If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4.9t2 + 4t + -900 = 0 Reorder the terms: -900 + 4t + 4.9t2 = 0 Solving -900 + 4t + 4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. -183.6734694 + 0.8163265306t + t2 = 0 Move the constant term to the right: Add '183.6734694' to each side of the equation. -183.6734694 + 0.8163265306t + 183.6734694 + t2 = 0 + 183.6734694 Reorder the terms: -183.6734694 + 183.6734694 + 0.8163265306t + t2 = 0 + 183.6734694 Combine like terms: -183.6734694 + 183.6734694 = 0.0000000 0.0000000 + 0.8163265306t + t2 = 0 + 183.6734694 0.8163265306t + t2 = 0 + 183.6734694 Combine like terms: 0 + 183.6734694 = 183.6734694 0.8163265306t + t2 = 183.6734694 The t term is 0.8163265306t. Take half its coefficient (0.4081632653). Square it (0.1665972511) and add it to both sides. Add '0.1665972511' to each side of the equation. 0.8163265306t + 0.1665972511 + t2 = 183.6734694 + 0.1665972511 Reorder the terms: 0.1665972511 + 0.8163265306t + t2 = 183.6734694 + 0.1665972511 Combine like terms: 183.6734694 + 0.1665972511 = 183.8400666511 0.1665972511 + 0.8163265306t + t2 = 183.8400666511 Factor a perfect square on the left side: (t + 0.4081632653)(t + 0.4081632653) = 183.8400666511 Calculate the square root of the right side: 13.558763463 Break this problem into two subproblems by setting (t + 0.4081632653) equal to 13.558763463 and -13.558763463.Subproblem 1
t + 0.4081632653 = 13.558763463 Simplifying t + 0.4081632653 = 13.558763463 Reorder the terms: 0.4081632653 + t = 13.558763463 Solving 0.4081632653 + t = 13.558763463 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.4081632653' to each side of the equation. 0.4081632653 + -0.4081632653 + t = 13.558763463 + -0.4081632653 Combine like terms: 0.4081632653 + -0.4081632653 = 0.0000000000 0.0000000000 + t = 13.558763463 + -0.4081632653 t = 13.558763463 + -0.4081632653 Combine like terms: 13.558763463 + -0.4081632653 = 13.1506001977 t = 13.1506001977 Simplifying t = 13.1506001977Subproblem 2
t + 0.4081632653 = -13.558763463 Simplifying t + 0.4081632653 = -13.558763463 Reorder the terms: 0.4081632653 + t = -13.558763463 Solving 0.4081632653 + t = -13.558763463 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.4081632653' to each side of the equation. 0.4081632653 + -0.4081632653 + t = -13.558763463 + -0.4081632653 Combine like terms: 0.4081632653 + -0.4081632653 = 0.0000000000 0.0000000000 + t = -13.558763463 + -0.4081632653 t = -13.558763463 + -0.4081632653 Combine like terms: -13.558763463 + -0.4081632653 = -13.9669267283 t = -13.9669267283 Simplifying t = -13.9669267283Solution
The solution to the problem is based on the solutions from the subproblems. t = {13.1506001977, -13.9669267283}
| 40×2/5 | | 2x+3x(x-5)=20 | | 24d=(2d) | | 10y-30+14y=8y-70 | | 13-y=4 | | (2x-4)=(x+6) | | z-20=-1 | | 12.5-(9+p)=2.2 | | 10(y-3)+14=8y-70 | | H=-5t^2-30t | | 2/4=1 | | 4e(3t)=7e(2t) | | 5log(x+12)-10=20 | | 5y-29=180 | | 0=x^4-5x^3+20x-16 | | 1.9d=11.02 | | 19-z=6 | | c+9=-3 | | 384=6a^2 | | 1(-1y+9)=9 | | 2(7+2)= | | 4/5x-x=x/15-20/3 | | 7p+5p+9p-7= | | 4e(exp(3t))=7e(exp(2t)) | | -41-8x=-5x+58 | | 12x-12=5x-30 | | 2/10=10 | | 57.5/11.5 | | 0=x^3-6x^2+3x+10 | | y+15=35 | | 76=16t^2+1100 | | 2x-12=4-x |