If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying t = -16t2 + 5t + 15 Reorder the terms: t = 15 + 5t + -16t2 Solving t = 15 + 5t + -16t2 Solving for variable 't'. Reorder the terms: -15 + t + -5t + 16t2 = 15 + 5t + -16t2 + -15 + -5t + 16t2 Combine like terms: t + -5t = -4t -15 + -4t + 16t2 = 15 + 5t + -16t2 + -15 + -5t + 16t2 Reorder the terms: -15 + -4t + 16t2 = 15 + -15 + 5t + -5t + -16t2 + 16t2 Combine like terms: 15 + -15 = 0 -15 + -4t + 16t2 = 0 + 5t + -5t + -16t2 + 16t2 -15 + -4t + 16t2 = 5t + -5t + -16t2 + 16t2 Combine like terms: 5t + -5t = 0 -15 + -4t + 16t2 = 0 + -16t2 + 16t2 -15 + -4t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -15 + -4t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.9375 + -0.25t + t2 = 0 Move the constant term to the right: Add '0.9375' to each side of the equation. -0.9375 + -0.25t + 0.9375 + t2 = 0 + 0.9375 Reorder the terms: -0.9375 + 0.9375 + -0.25t + t2 = 0 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + -0.25t + t2 = 0 + 0.9375 -0.25t + t2 = 0 + 0.9375 Combine like terms: 0 + 0.9375 = 0.9375 -0.25t + t2 = 0.9375 The t term is -0.25t. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25t + 0.015625 + t2 = 0.9375 + 0.015625 Reorder the terms: 0.015625 + -0.25t + t2 = 0.9375 + 0.015625 Combine like terms: 0.9375 + 0.015625 = 0.953125 0.015625 + -0.25t + t2 = 0.953125 Factor a perfect square on the left side: (t + -0.125)(t + -0.125) = 0.953125 Calculate the square root of the right side: 0.976281209 Break this problem into two subproblems by setting (t + -0.125) equal to 0.976281209 and -0.976281209.Subproblem 1
t + -0.125 = 0.976281209 Simplifying t + -0.125 = 0.976281209 Reorder the terms: -0.125 + t = 0.976281209 Solving -0.125 + t = 0.976281209 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + t = 0.976281209 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + t = 0.976281209 + 0.125 t = 0.976281209 + 0.125 Combine like terms: 0.976281209 + 0.125 = 1.101281209 t = 1.101281209 Simplifying t = 1.101281209Subproblem 2
t + -0.125 = -0.976281209 Simplifying t + -0.125 = -0.976281209 Reorder the terms: -0.125 + t = -0.976281209 Solving -0.125 + t = -0.976281209 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + t = -0.976281209 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + t = -0.976281209 + 0.125 t = -0.976281209 + 0.125 Combine like terms: -0.976281209 + 0.125 = -0.851281209 t = -0.851281209 Simplifying t = -0.851281209Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.101281209, -0.851281209}
| -2m=39(m-10) | | .4-2k=6-4k | | -6x-8=3 | | 18=14+7-x | | 16=7-x+10 | | 30h-300=20h-460 | | 5(9.2+x)=8.3 | | 5n-30+n=3n+6 | | 0.75n+12=84 | | 0.75+12=84 | | 3x+7=14+3m | | n+(2*n)=21 | | x^2+x+5=625 | | n+(2Xn)=21 | | 4h+2h=90 | | .5x+.5=8 | | (-5x)+(-3x)+x= | | 2x-3/4=7 | | 6n/ | | 3/5y-5/2=-5/3 | | 15-m=22-8 | | (-3x)+5x-2x= | | 3w+13xw=10 | | 3[5+2(3x+2)]=207 | | g^2-10g+18=0 | | 3G-y=2g+8 | | (4/x)^3 | | .01x+.1=5.05 | | 296/1000 | | L=3w+13 | | 7+4c=18 | | 3G+y=2g+8 |