If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -16t2 + 50t + -24 Reorder the terms: 0 = -24 + 50t + -16t2 Solving 0 = -24 + 50t + -16t2 Solving for variable 't'. Combine like terms: 0 + 24 = 24 24 + -50t + 16t2 = -24 + 50t + -16t2 + 24 + -50t + 16t2 Reorder the terms: 24 + -50t + 16t2 = -24 + 24 + 50t + -50t + -16t2 + 16t2 Combine like terms: -24 + 24 = 0 24 + -50t + 16t2 = 0 + 50t + -50t + -16t2 + 16t2 24 + -50t + 16t2 = 50t + -50t + -16t2 + 16t2 Combine like terms: 50t + -50t = 0 24 + -50t + 16t2 = 0 + -16t2 + 16t2 24 + -50t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 24 + -50t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -25t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -25t + 8t2)' equal to zero and attempt to solve: Simplifying 12 + -25t + 8t2 = 0 Solving 12 + -25t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.5 + -3.125t + t2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -3.125t + -1.5 + t2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -3.125t + t2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -3.125t + t2 = 0 + -1.5 -3.125t + t2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -3.125t + t2 = -1.5 The t term is -3.125t. Take half its coefficient (-1.5625). Square it (2.44140625) and add it to both sides. Add '2.44140625' to each side of the equation. -3.125t + 2.44140625 + t2 = -1.5 + 2.44140625 Reorder the terms: 2.44140625 + -3.125t + t2 = -1.5 + 2.44140625 Combine like terms: -1.5 + 2.44140625 = 0.94140625 2.44140625 + -3.125t + t2 = 0.94140625 Factor a perfect square on the left side: (t + -1.5625)(t + -1.5625) = 0.94140625 Calculate the square root of the right side: 0.970260919 Break this problem into two subproblems by setting (t + -1.5625) equal to 0.970260919 and -0.970260919.Subproblem 1
t + -1.5625 = 0.970260919 Simplifying t + -1.5625 = 0.970260919 Reorder the terms: -1.5625 + t = 0.970260919 Solving -1.5625 + t = 0.970260919 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5625' to each side of the equation. -1.5625 + 1.5625 + t = 0.970260919 + 1.5625 Combine like terms: -1.5625 + 1.5625 = 0.0000 0.0000 + t = 0.970260919 + 1.5625 t = 0.970260919 + 1.5625 Combine like terms: 0.970260919 + 1.5625 = 2.532760919 t = 2.532760919 Simplifying t = 2.532760919Subproblem 2
t + -1.5625 = -0.970260919 Simplifying t + -1.5625 = -0.970260919 Reorder the terms: -1.5625 + t = -0.970260919 Solving -1.5625 + t = -0.970260919 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5625' to each side of the equation. -1.5625 + 1.5625 + t = -0.970260919 + 1.5625 Combine like terms: -1.5625 + 1.5625 = 0.0000 0.0000 + t = -0.970260919 + 1.5625 t = -0.970260919 + 1.5625 Combine like terms: -0.970260919 + 1.5625 = 0.592239081 t = 0.592239081 Simplifying t = 0.592239081Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.532760919, 0.592239081}Solution
t = {2.532760919, 0.592239081}
| 16x+10u=400 | | 3.5*10^3/7*10^-2 | | 236.8=x*(5.1-0.4*lnx) | | x=-10-3x | | 3.5x10^3/7x10^-2 | | 3w^2=4w*2w^2 | | 30=-2x-10 | | 170+(x-10)=180 | | 48=(2x)(x) | | 9x+2-11+3x=3+15-12x-6x | | -11x(x-2)=-8x-8 | | 6(3x-1)=2(2x-5)-8 | | 54k+9k= | | h=-16t^2+8t-1 | | 68-10x=12+2 | | -1+6a=47 | | 2(6-5x)=102 | | 7(2q-1)-3(2-q)+5(q+4)=7 | | 17t+23=-793 | | (10u^2y^5x^4)(15y^8x^3)= | | 3x+4=14.5 | | 0=6-1/4x | | 2/5x=3/7 | | 8=2m-24 | | 5f+4f= | | V=ARS | | 10x+86+16x-38=360 | | -40=-10+5a | | 1n+4n-22=10 | | (X-1)+(138-x)+(x+13)=180 | | 42+(x-38)+x=180 | | 27x^2-69x-70=0 |