If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 300 = -16t2 + 200t Reorder the terms: 300 = 200t + -16t2 Solving 300 = 200t + -16t2 Solving for variable 't'. Reorder the terms: 300 + -200t + 16t2 = 200t + -200t + -16t2 + 16t2 Combine like terms: 200t + -200t = 0 300 + -200t + 16t2 = 0 + -16t2 + 16t2 300 + -200t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 300 + -200t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(75 + -50t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(75 + -50t + 4t2)' equal to zero and attempt to solve: Simplifying 75 + -50t + 4t2 = 0 Solving 75 + -50t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 18.75 + -12.5t + t2 = 0 Move the constant term to the right: Add '-18.75' to each side of the equation. 18.75 + -12.5t + -18.75 + t2 = 0 + -18.75 Reorder the terms: 18.75 + -18.75 + -12.5t + t2 = 0 + -18.75 Combine like terms: 18.75 + -18.75 = 0.00 0.00 + -12.5t + t2 = 0 + -18.75 -12.5t + t2 = 0 + -18.75 Combine like terms: 0 + -18.75 = -18.75 -12.5t + t2 = -18.75 The t term is -12.5t. Take half its coefficient (-6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. -12.5t + 39.0625 + t2 = -18.75 + 39.0625 Reorder the terms: 39.0625 + -12.5t + t2 = -18.75 + 39.0625 Combine like terms: -18.75 + 39.0625 = 20.3125 39.0625 + -12.5t + t2 = 20.3125 Factor a perfect square on the left side: (t + -6.25)(t + -6.25) = 20.3125 Calculate the square root of the right side: 4.506939094 Break this problem into two subproblems by setting (t + -6.25) equal to 4.506939094 and -4.506939094.Subproblem 1
t + -6.25 = 4.506939094 Simplifying t + -6.25 = 4.506939094 Reorder the terms: -6.25 + t = 4.506939094 Solving -6.25 + t = 4.506939094 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.25' to each side of the equation. -6.25 + 6.25 + t = 4.506939094 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + t = 4.506939094 + 6.25 t = 4.506939094 + 6.25 Combine like terms: 4.506939094 + 6.25 = 10.756939094 t = 10.756939094 Simplifying t = 10.756939094Subproblem 2
t + -6.25 = -4.506939094 Simplifying t + -6.25 = -4.506939094 Reorder the terms: -6.25 + t = -4.506939094 Solving -6.25 + t = -4.506939094 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.25' to each side of the equation. -6.25 + 6.25 + t = -4.506939094 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + t = -4.506939094 + 6.25 t = -4.506939094 + 6.25 Combine like terms: -4.506939094 + 6.25 = 1.743060906 t = 1.743060906 Simplifying t = 1.743060906Solution
The solution to the problem is based on the solutions from the subproblems. t = {10.756939094, 1.743060906}Solution
t = {10.756939094, 1.743060906}
| -5=w/3-14 | | c/6-12=-5 | | 7+13=-4(7x-5) | | -5n+3n-6=20 | | 6=-2z+14 | | 20x+10y=200 | | -3c-7=14 | | 1.50+3.50(400-x)=900 | | 2n-7=1 | | 1/3+8/3 | | -8x^2=0 | | 8j^2-5j-8=0 | | 9x+2+5=3x-2 | | 6a^2x^2-11ax=10 | | 12-3(4-8m)= | | 5.6q-1.2-5.4q=-0.8q-4.1 | | 5x-1=31 | | 2/9+4/9 | | -4(x-1)+13=-3x+12 | | 3/4w-2=8 | | 7(z+4)=-42+2z | | 4d^2-4d=0 | | -3x^2-12-14x=0 | | n=(w+6)(w+2) | | 5y-9=y+1 | | 0=4x^3-36x^2+4x-36 | | 12-4z=-8 | | 7-5k=2k-21 | | -2x^2+10x-14=0 | | 2/5+1/5 | | 4x-4=36x+4 | | 21.63=18.86+10000 |