If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + 30t = 300 Reorder the terms: 30t + 16t2 = 300 Solving 30t + 16t2 = 300 Solving for variable 't'. Reorder the terms: -300 + 30t + 16t2 = 300 + -300 Combine like terms: 300 + -300 = 0 -300 + 30t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-150 + 15t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-150 + 15t + 8t2)' equal to zero and attempt to solve: Simplifying -150 + 15t + 8t2 = 0 Solving -150 + 15t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -18.75 + 1.875t + t2 = 0 Move the constant term to the right: Add '18.75' to each side of the equation. -18.75 + 1.875t + 18.75 + t2 = 0 + 18.75 Reorder the terms: -18.75 + 18.75 + 1.875t + t2 = 0 + 18.75 Combine like terms: -18.75 + 18.75 = 0.00 0.00 + 1.875t + t2 = 0 + 18.75 1.875t + t2 = 0 + 18.75 Combine like terms: 0 + 18.75 = 18.75 1.875t + t2 = 18.75 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 = 18.75 + 0.87890625 Reorder the terms: 0.87890625 + 1.875t + t2 = 18.75 + 0.87890625 Combine like terms: 18.75 + 0.87890625 = 19.62890625 0.87890625 + 1.875t + t2 = 19.62890625 Factor a perfect square on the left side: (t + 0.9375)(t + 0.9375) = 19.62890625 Calculate the square root of the right side: 4.43045215 Break this problem into two subproblems by setting (t + 0.9375) equal to 4.43045215 and -4.43045215.Subproblem 1
t + 0.9375 = 4.43045215 Simplifying t + 0.9375 = 4.43045215 Reorder the terms: 0.9375 + t = 4.43045215 Solving 0.9375 + t = 4.43045215 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 = 4.43045215 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + t = 4.43045215 + -0.9375 t = 4.43045215 + -0.9375 Combine like terms: 4.43045215 + -0.9375 = 3.49295215 t = 3.49295215 Simplifying t = 3.49295215Subproblem 2
t + 0.9375 = -4.43045215 Simplifying t + 0.9375 = -4.43045215 Reorder the terms: 0.9375 + t = -4.43045215 Solving 0.9375 + t = -4.43045215 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 = -4.43045215 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + t = -4.43045215 + -0.9375 t = -4.43045215 + -0.9375 Combine like terms: -4.43045215 + -0.9375 = -5.36795215 t = -5.36795215 Simplifying t = -5.36795215Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.49295215, -5.36795215}Solution
t = {3.49295215, -5.36795215}
| 28=2y+8 | | (5+2)2+12= | | 10=6x+20x | | 4*2x+-1*4+3=3*x+-2*3+5*x+1*5 | | 4x+5=4x^2 | | 2-6x-3x=25 | | -3x+3=4x-11 | | 9.95+0.30*30=c | | 5t+4t+5a-7t= | | 9.95+0.30=c | | 10k=7k+3 | | 9-3x-(-8y)+9y-1y= | | (2x-2)(x+4)=0 | | 30x=22 | | 3n+6=27-4n | | 3.8*2.3= | | 3x-(x-3)=x-2 | | log(3x-18)=log(x) | | 25=-4(m-5)+9m | | 4a=2(3)-7 | | 3w+16=37 | | x^4-16x+80=0 | | 5x-110=160-4x | | 4x+5+2x=-1 | | (66x+89y)-(16x+40y)= | | 1c-1.4=3.6 | | -8x=x(-8) | | (5+3i)(8+6i)= | | 6log(2)(0.7x)=13 | | C=qt+p | | 3(x-5p)=3x+15p | | 192x^9+24=0 |