If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -16t2 + 30t + 15 Reorder the terms: 0 = 15 + 30t + -16t2 Solving 0 = 15 + 30t + -16t2 Solving for variable 't'. Combine like terms: 0 + -15 = -15 -15 + -30t + 16t2 = 15 + 30t + -16t2 + -15 + -30t + 16t2 Reorder the terms: -15 + -30t + 16t2 = 15 + -15 + 30t + -30t + -16t2 + 16t2 Combine like terms: 15 + -15 = 0 -15 + -30t + 16t2 = 0 + 30t + -30t + -16t2 + 16t2 -15 + -30t + 16t2 = 30t + -30t + -16t2 + 16t2 Combine like terms: 30t + -30t = 0 -15 + -30t + 16t2 = 0 + -16t2 + 16t2 -15 + -30t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -15 + -30t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.9375 + -1.875t + t2 = 0 Move the constant term to the right: Add '0.9375' to each side of the equation. -0.9375 + -1.875t + 0.9375 + t2 = 0 + 0.9375 Reorder the terms: -0.9375 + 0.9375 + -1.875t + t2 = 0 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + -1.875t + t2 = 0 + 0.9375 -1.875t + t2 = 0 + 0.9375 Combine like terms: 0 + 0.9375 = 0.9375 -1.875t + t2 = 0.9375 The t term is -1.875t. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875t + 0.87890625 + t2 = 0.9375 + 0.87890625 Reorder the terms: 0.87890625 + -1.875t + t2 = 0.9375 + 0.87890625 Combine like terms: 0.9375 + 0.87890625 = 1.81640625 0.87890625 + -1.875t + t2 = 1.81640625 Factor a perfect square on the left side: (t + -0.9375)(t + -0.9375) = 1.81640625 Calculate the square root of the right side: 1.347741166 Break this problem into two subproblems by setting (t + -0.9375) equal to 1.347741166 and -1.347741166.Subproblem 1
t + -0.9375 = 1.347741166 Simplifying t + -0.9375 = 1.347741166 Reorder the terms: -0.9375 + t = 1.347741166 Solving -0.9375 + t = 1.347741166 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + t = 1.347741166 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + t = 1.347741166 + 0.9375 t = 1.347741166 + 0.9375 Combine like terms: 1.347741166 + 0.9375 = 2.285241166 t = 2.285241166 Simplifying t = 2.285241166Subproblem 2
t + -0.9375 = -1.347741166 Simplifying t + -0.9375 = -1.347741166 Reorder the terms: -0.9375 + t = -1.347741166 Solving -0.9375 + t = -1.347741166 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + t = -1.347741166 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + t = -1.347741166 + 0.9375 t = -1.347741166 + 0.9375 Combine like terms: -1.347741166 + 0.9375 = -0.410241166 t = -0.410241166 Simplifying t = -0.410241166Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.285241166, -0.410241166}
| (6)(5)(-2)= | | a+18=17a | | 7+n=-4 | | 12x^2-44x+144=0 | | 4.6z=17.02 | | 3=-16t^2+15t+30 | | k+14.2=9.8 | | 3+1/3 | | 5.7b=29.64 | | 24=d(3.14) | | 150=-16t^2+60t+5 | | 89-x=29 | | 3.5=m-2.2 | | y=1/2x^2 | | 24=2x(3.14) | | 16t^2-60t+45=0 | | k+12.5=7.7 | | 3.1m=8.37 | | 0=h^2-4h-12 | | k+8.5=4.8 | | 15+2h=3-15h | | 53(4c+5)=24 | | 13/17=5/x | | 4m+5=3+2m | | 3-7x=-7x+-7 | | 8x+x-8x=19 | | 3-7x=-7x+3 | | (2x+3y)*(4x-5y)= | | 1/8x^3-1/27y^3 | | 3-7x=3x-3 | | -6(x-8)=2x | | (3x+1)(3x+1)=0 |