If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 100 + 96t + -16t2 Solving 0 = 100 + 96t + -16t2 Solving for variable 't'. Combine like terms: 0 + -100 = -100 -100 + -96t + 16t2 = 100 + 96t + -16t2 + -100 + -96t + 16t2 Reorder the terms: -100 + -96t + 16t2 = 100 + -100 + 96t + -96t + -16t2 + 16t2 Combine like terms: 100 + -100 = 0 -100 + -96t + 16t2 = 0 + 96t + -96t + -16t2 + 16t2 -100 + -96t + 16t2 = 96t + -96t + -16t2 + 16t2 Combine like terms: 96t + -96t = 0 -100 + -96t + 16t2 = 0 + -16t2 + 16t2 -100 + -96t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -100 + -96t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-25 + -24t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-25 + -24t + 4t2)' equal to zero and attempt to solve: Simplifying -25 + -24t + 4t2 = 0 Solving -25 + -24t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -6.25 + -6t + t2 = 0 Move the constant term to the right: Add '6.25' to each side of the equation. -6.25 + -6t + 6.25 + t2 = 0 + 6.25 Reorder the terms: -6.25 + 6.25 + -6t + t2 = 0 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + -6t + t2 = 0 + 6.25 -6t + t2 = 0 + 6.25 Combine like terms: 0 + 6.25 = 6.25 -6t + t2 = 6.25 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = 6.25 + 9 Reorder the terms: 9 + -6t + t2 = 6.25 + 9 Combine like terms: 6.25 + 9 = 15.25 9 + -6t + t2 = 15.25 Factor a perfect square on the left side: (t + -3)(t + -3) = 15.25 Calculate the square root of the right side: 3.905124838 Break this problem into two subproblems by setting (t + -3) equal to 3.905124838 and -3.905124838.Subproblem 1
t + -3 = 3.905124838 Simplifying t + -3 = 3.905124838 Reorder the terms: -3 + t = 3.905124838 Solving -3 + t = 3.905124838 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = 3.905124838 + 3 Combine like terms: -3 + 3 = 0 0 + t = 3.905124838 + 3 t = 3.905124838 + 3 Combine like terms: 3.905124838 + 3 = 6.905124838 t = 6.905124838 Simplifying t = 6.905124838Subproblem 2
t + -3 = -3.905124838 Simplifying t + -3 = -3.905124838 Reorder the terms: -3 + t = -3.905124838 Solving -3 + t = -3.905124838 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = -3.905124838 + 3 Combine like terms: -3 + 3 = 0 0 + t = -3.905124838 + 3 t = -3.905124838 + 3 Combine like terms: -3.905124838 + 3 = -0.905124838 t = -0.905124838 Simplifying t = -0.905124838Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.905124838, -0.905124838}Solution
t = {6.905124838, -0.905124838}
| x^2=x+132 | | (-3+5i)(-5+7i)=0 | | 24/x=3/1/2 | | 25-49y^2=0 | | X/4=7/12 | | 2/5x20 | | 2/50f20 | | 11(v+1)-2v=3(3v+4)-20 | | b/10-2=8 | | 3x-2(x-4)=5+4(1-2x) | | 7a+2=-12 | | 7/16x1/2 | | y=12+3.8x | | 30-x=30 | | -4=5(x-2) | | 5m-2=6 | | (800-2x)x= | | X(800-2x)= | | 15x-12xy= | | 4x^2y+28xy^2+20xy=0 | | (9/2)^-2 | | (7/6)^-1 | | 2x^6+6x-20=0 | | -5u/9=-30 | | x^2+5.3x-1=0 | | 0=x^2-2x+12 | | (2x^2-5x)/(3x-7)=3/2 | | 0.3x^2-0.01x+4=0 | | 2x-(5x+3)-6=-2(x-1) | | -2x-(5x+3)-6=-2(x-1) | | 3x+7=3+2x | | 5m-2=2m-19 |