If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 100(t) = -16t2 + 48t + 100 Reorder the terms: 100t = 100 + 48t + -16t2 Solving 100t = 100 + 48t + -16t2 Solving for variable 't'. Reorder the terms: -100 + 100t + -48t + 16t2 = 100 + 48t + -16t2 + -100 + -48t + 16t2 Combine like terms: 100t + -48t = 52t -100 + 52t + 16t2 = 100 + 48t + -16t2 + -100 + -48t + 16t2 Reorder the terms: -100 + 52t + 16t2 = 100 + -100 + 48t + -48t + -16t2 + 16t2 Combine like terms: 100 + -100 = 0 -100 + 52t + 16t2 = 0 + 48t + -48t + -16t2 + 16t2 -100 + 52t + 16t2 = 48t + -48t + -16t2 + 16t2 Combine like terms: 48t + -48t = 0 -100 + 52t + 16t2 = 0 + -16t2 + 16t2 -100 + 52t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -100 + 52t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-25 + 13t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-25 + 13t + 4t2)' equal to zero and attempt to solve: Simplifying -25 + 13t + 4t2 = 0 Solving -25 + 13t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -6.25 + 3.25t + t2 = 0 Move the constant term to the right: Add '6.25' to each side of the equation. -6.25 + 3.25t + 6.25 + t2 = 0 + 6.25 Reorder the terms: -6.25 + 6.25 + 3.25t + t2 = 0 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + 3.25t + t2 = 0 + 6.25 3.25t + t2 = 0 + 6.25 Combine like terms: 0 + 6.25 = 6.25 3.25t + t2 = 6.25 The t term is 3.25t. Take half its coefficient (1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. 3.25t + 2.640625 + t2 = 6.25 + 2.640625 Reorder the terms: 2.640625 + 3.25t + t2 = 6.25 + 2.640625 Combine like terms: 6.25 + 2.640625 = 8.890625 2.640625 + 3.25t + t2 = 8.890625 Factor a perfect square on the left side: (t + 1.625)(t + 1.625) = 8.890625 Calculate the square root of the right side: 2.98171511 Break this problem into two subproblems by setting (t + 1.625) equal to 2.98171511 and -2.98171511.Subproblem 1
t + 1.625 = 2.98171511 Simplifying t + 1.625 = 2.98171511 Reorder the terms: 1.625 + t = 2.98171511 Solving 1.625 + t = 2.98171511 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.625' to each side of the equation. 1.625 + -1.625 + t = 2.98171511 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + t = 2.98171511 + -1.625 t = 2.98171511 + -1.625 Combine like terms: 2.98171511 + -1.625 = 1.35671511 t = 1.35671511 Simplifying t = 1.35671511Subproblem 2
t + 1.625 = -2.98171511 Simplifying t + 1.625 = -2.98171511 Reorder the terms: 1.625 + t = -2.98171511 Solving 1.625 + t = -2.98171511 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.625' to each side of the equation. 1.625 + -1.625 + t = -2.98171511 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + t = -2.98171511 + -1.625 t = -2.98171511 + -1.625 Combine like terms: -2.98171511 + -1.625 = -4.60671511 t = -4.60671511 Simplifying t = -4.60671511Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.35671511, -4.60671511}Solution
t = {1.35671511, -4.60671511}
| 3a+4b-c+2d=-6 | | 3p^2+20-32=0 | | 0.5x+1.5=1+2.5x | | a-2(b-3(c-x))=6forx | | 2x^2-8x-y=-15 | | 6c+2(c+1.5)=29 | | (3/4)/23 | | p+1/4=97/20 | | x^2+x+56=0 | | 3/4*n=23 | | 9^2/-3x^4 | | x(49x-4)=0 | | 60x^2-20x=48x^2+28x | | 3y+2=12 | | x^2-8x+9=2 | | sin^2x-cos^2x=1-2cos^2x | | (2x+20)(x+30)=825 | | 75-225=x | | 225/3=x | | 600-825=x | | x^4-9x^3-x^2+105x=0 | | 1+1=24+50+ | | 2/5*34 | | 86/6= | | y=4x-6.18 | | 1800=[x-6][y+10] | | -35/17=-49/68 | | 5(2x+1)=x+41 | | n*9/35=36/49 | | 3(2X-2)=2(x+2)+2 | | h(x)=12f(x)+11g(x) | | -25=-30p |