If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 320(t) = -16t2 + 190t + 20 Reorder the terms: 320t = 20 + 190t + -16t2 Solving 320t = 20 + 190t + -16t2 Solving for variable 't'. Reorder the terms: -20 + 320t + -190t + 16t2 = 20 + 190t + -16t2 + -20 + -190t + 16t2 Combine like terms: 320t + -190t = 130t -20 + 130t + 16t2 = 20 + 190t + -16t2 + -20 + -190t + 16t2 Reorder the terms: -20 + 130t + 16t2 = 20 + -20 + 190t + -190t + -16t2 + 16t2 Combine like terms: 20 + -20 = 0 -20 + 130t + 16t2 = 0 + 190t + -190t + -16t2 + 16t2 -20 + 130t + 16t2 = 190t + -190t + -16t2 + 16t2 Combine like terms: 190t + -190t = 0 -20 + 130t + 16t2 = 0 + -16t2 + 16t2 -20 + 130t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -20 + 130t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 65t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + 65t + 8t2)' equal to zero and attempt to solve: Simplifying -10 + 65t + 8t2 = 0 Solving -10 + 65t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -1.25 + 8.125t + t2 = 0 Move the constant term to the right: Add '1.25' to each side of the equation. -1.25 + 8.125t + 1.25 + t2 = 0 + 1.25 Reorder the terms: -1.25 + 1.25 + 8.125t + t2 = 0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + 8.125t + t2 = 0 + 1.25 8.125t + t2 = 0 + 1.25 Combine like terms: 0 + 1.25 = 1.25 8.125t + t2 = 1.25 The t term is 8.125t. Take half its coefficient (4.0625). Square it (16.50390625) and add it to both sides. Add '16.50390625' to each side of the equation. 8.125t + 16.50390625 + t2 = 1.25 + 16.50390625 Reorder the terms: 16.50390625 + 8.125t + t2 = 1.25 + 16.50390625 Combine like terms: 1.25 + 16.50390625 = 17.75390625 16.50390625 + 8.125t + t2 = 17.75390625 Factor a perfect square on the left side: (t + 4.0625)(t + 4.0625) = 17.75390625 Calculate the square root of the right side: 4.213538448 Break this problem into two subproblems by setting (t + 4.0625) equal to 4.213538448 and -4.213538448.Subproblem 1
t + 4.0625 = 4.213538448 Simplifying t + 4.0625 = 4.213538448 Reorder the terms: 4.0625 + t = 4.213538448 Solving 4.0625 + t = 4.213538448 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.0625' to each side of the equation. 4.0625 + -4.0625 + t = 4.213538448 + -4.0625 Combine like terms: 4.0625 + -4.0625 = 0.0000 0.0000 + t = 4.213538448 + -4.0625 t = 4.213538448 + -4.0625 Combine like terms: 4.213538448 + -4.0625 = 0.151038448 t = 0.151038448 Simplifying t = 0.151038448Subproblem 2
t + 4.0625 = -4.213538448 Simplifying t + 4.0625 = -4.213538448 Reorder the terms: 4.0625 + t = -4.213538448 Solving 4.0625 + t = -4.213538448 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.0625' to each side of the equation. 4.0625 + -4.0625 + t = -4.213538448 + -4.0625 Combine like terms: 4.0625 + -4.0625 = 0.0000 0.0000 + t = -4.213538448 + -4.0625 t = -4.213538448 + -4.0625 Combine like terms: -4.213538448 + -4.0625 = -8.276038448 t = -8.276038448 Simplifying t = -8.276038448Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.151038448, -8.276038448}Solution
t = {0.151038448, -8.276038448}
| 3+12a+3*4a-2+4b+7b*4/2 | | -4(5-y)=20 | | 14(5-y)=20 | | x^2(5x-1/4)(2x+1/4) | | 1.7q-1.6-5.9q=5.2q-4.1 | | -3(2x-6)-4x+9= | | 7y+1=8y+5 | | x^2-x+64=0 | | 6x^2+12x+c=0 | | 8x+17=5x+35 | | x^2+4x+48=0 | | 8/x-5x=4 | | 5x^2-78=48 | | a=10ln(a) | | x-1-(x-2)(x+2)=9 | | 7.5m+1.1-10m=4.3-2.5m-3.2+1.7 | | 2x-8x+29=5 | | -3(-2)+y=-5 | | 6y/z | | -39-20+y=-5 | | -13-4x=-21 | | 2*(x+3)=a | | -20x^2+12x+27=0 | | 2x(x+3)=a | | 0=6x^2+6 | | 5(x-1)-2(x^2+5x+6)-7(x+6)= | | x+3/10=-3/10 | | 6x(x-2)=11 | | -6+4x=34 | | -7b+4=39 | | 7-4m=51 | | 8x-2+3x+4= |