If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 48 = 270000t + 0.5(4.8) * t2 Multiply 0.5 * 4.8 48 = 270000t + 2.4t2 Solving 48 = 270000t + 2.4t2 Solving for variable 't'. Reorder the terms: 48 + -270000t + -2.4t2 = 270000t + -270000t + 2.4t2 + -2.4t2 Combine like terms: 270000t + -270000t = 0 48 + -270000t + -2.4t2 = 0 + 2.4t2 + -2.4t2 48 + -270000t + -2.4t2 = 2.4t2 + -2.4t2 Combine like terms: 2.4t2 + -2.4t2 = 0.0 48 + -270000t + -2.4t2 = 0.0 Begin completing the square. Divide all terms by -2.4 the coefficient of the squared term: Divide each side by '-2.4'. -20 + 112500t + t2 = 0 Move the constant term to the right: Add '20' to each side of the equation. -20 + 112500t + 20 + t2 = 0 + 20 Reorder the terms: -20 + 20 + 112500t + t2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 112500t + t2 = 0 + 20 112500t + t2 = 0 + 20 Combine like terms: 0 + 20 = 20 112500t + t2 = 20 The t term is 112500t. Take half its coefficient (56250). Square it (3164062500) and add it to both sides. Add '3164062500' to each side of the equation. 112500t + 3164062500 + t2 = 20 + 3164062500 Reorder the terms: 3164062500 + 112500t + t2 = 20 + 3164062500 Combine like terms: 20 + 3164062500 = 3164062520 3164062500 + 112500t + t2 = 3164062520 Factor a perfect square on the left side: (t + 56250)(t + 56250) = 3164062520 Calculate the square root of the right side: 56250.000177778 Break this problem into two subproblems by setting (t + 56250) equal to 56250.000177778 and -56250.000177778.Subproblem 1
t + 56250 = 56250.000177778 Simplifying t + 56250 = 56250.000177778 Reorder the terms: 56250 + t = 56250.000177778 Solving 56250 + t = 56250.000177778 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-56250' to each side of the equation. 56250 + -56250 + t = 56250.000177778 + -56250 Combine like terms: 56250 + -56250 = 0 0 + t = 56250.000177778 + -56250 t = 56250.000177778 + -56250 Combine like terms: 56250.000177778 + -56250 = 0.000177778 t = 0.000177778 Simplifying t = 0.000177778Subproblem 2
t + 56250 = -56250.000177778 Simplifying t + 56250 = -56250.000177778 Reorder the terms: 56250 + t = -56250.000177778 Solving 56250 + t = -56250.000177778 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-56250' to each side of the equation. 56250 + -56250 + t = -56250.000177778 + -56250 Combine like terms: 56250 + -56250 = 0 0 + t = -56250.000177778 + -56250 t = -56250.000177778 + -56250 Combine like terms: -56250.000177778 + -56250 = -112500.000177778 t = -112500.000177778 Simplifying t = -112500.000177778Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.000177778, -112500.000177778}
| 25.97=5g+3.72 | | 3.75+t=-2.16666666666 | | 4q-76=10 | | 3x-1=3+8x-5x | | 1.46g-5=0.11 | | 9y-4(y-2)=3 | | 12L+18=18 | | -3(2x+8)=2x-40 | | 3x-20y=57 | | 6x+5x-32=64-5x | | h(x)=-2x+9 | | 80+9.50x=120+7.50x | | 0=0+(-9.8)(2) | | -2t+2+5t=3t+2 | | 10*4-(5+5-2*2)+6= | | 6-3x=-18+3x | | 4t+10=20+2t | | 3+5(m-3)=-2m+2 | | Ax+3y=2z | | 6n+3=15+3n | | x-10y+12z=7 | | 7x-8=11y+2 | | 4(-1-2x)=3x-3(3+4x) | | 90+0.50x=50+0.90x | | 2t+2+5t=3t+2 | | 5x+(x+8)=-32-2x | | 36=2*3.14*r | | -3n(n-2)=3-2n | | 5-5x=14-18x | | 6x+5x=64-5x | | 6n-34=n+4(7n+3) | | x+-11=-1 |