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 + 64t + 980 Reorder the terms: 0 = 980 + 64t + -16t2 Solving 0 = 980 + 64t + -16t2 Solving for variable 't'. Combine like terms: 0 + -980 = -980 -980 + -64t + 16t2 = 980 + 64t + -16t2 + -980 + -64t + 16t2 Reorder the terms: -980 + -64t + 16t2 = 980 + -980 + 64t + -64t + -16t2 + 16t2 Combine like terms: 980 + -980 = 0 -980 + -64t + 16t2 = 0 + 64t + -64t + -16t2 + 16t2 -980 + -64t + 16t2 = 64t + -64t + -16t2 + 16t2 Combine like terms: 64t + -64t = 0 -980 + -64t + 16t2 = 0 + -16t2 + 16t2 -980 + -64t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -980 + -64t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-245 + -16t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-245 + -16t + 4t2)' equal to zero and attempt to solve: Simplifying -245 + -16t + 4t2 = 0 Solving -245 + -16t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -61.25 + -4t + t2 = 0 Move the constant term to the right: Add '61.25' to each side of the equation. -61.25 + -4t + 61.25 + t2 = 0 + 61.25 Reorder the terms: -61.25 + 61.25 + -4t + t2 = 0 + 61.25 Combine like terms: -61.25 + 61.25 = 0.00 0.00 + -4t + t2 = 0 + 61.25 -4t + t2 = 0 + 61.25 Combine like terms: 0 + 61.25 = 61.25 -4t + t2 = 61.25 The t term is -4t. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4t + 4 + t2 = 61.25 + 4 Reorder the terms: 4 + -4t + t2 = 61.25 + 4 Combine like terms: 61.25 + 4 = 65.25 4 + -4t + t2 = 65.25 Factor a perfect square on the left side: (t + -2)(t + -2) = 65.25 Calculate the square root of the right side: 8.077747211 Break this problem into two subproblems by setting (t + -2) equal to 8.077747211 and -8.077747211.Subproblem 1
t + -2 = 8.077747211 Simplifying t + -2 = 8.077747211 Reorder the terms: -2 + t = 8.077747211 Solving -2 + t = 8.077747211 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 8.077747211 + 2 Combine like terms: -2 + 2 = 0 0 + t = 8.077747211 + 2 t = 8.077747211 + 2 Combine like terms: 8.077747211 + 2 = 10.077747211 t = 10.077747211 Simplifying t = 10.077747211Subproblem 2
t + -2 = -8.077747211 Simplifying t + -2 = -8.077747211 Reorder the terms: -2 + t = -8.077747211 Solving -2 + t = -8.077747211 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = -8.077747211 + 2 Combine like terms: -2 + 2 = 0 0 + t = -8.077747211 + 2 t = -8.077747211 + 2 Combine like terms: -8.077747211 + 2 = -6.077747211 t = -6.077747211 Simplifying t = -6.077747211Solution
The solution to the problem is based on the solutions from the subproblems. t = {10.077747211, -6.077747211}Solution
t = {10.077747211, -6.077747211}
| x+22+10=180 | | -238=17n | | 6n+24=82 | | 4(9x+2)+8x=4(x-18) | | 15n=300 | | (2x+4)=120+20 | | 5y-y^2=6 | | 5-12y+2+7y=-0.7 | | -(b+3)=-9-b | | -19+6x=-7+4(1+x) | | 3n=5.5 | | W/-12=7 | | 5+4w-8=4w-2-w | | -34-4x=-(8x+2) | | 4w-9=32 | | 16m^2-32-56m=0 | | 3=-(x-3) | | 2x+2+4x-8=180 | | -5p-28=-(4+8p) | | q/10=4 | | 5=5+k | | 2(5w-6)-4w=-3w-39 | | T/23=-9 | | 56.37=12+0.29m | | 4(x-3)+3(9-2x)=19 | | 8X-4-5=-31 | | 5r-29=4(7+6r) | | 3x+6=-7x-21 | | sinx^2+2-3sinx=cosx^2 | | f=4/3(n-74) | | 2(3w-4)=3w+1 | | 3588=46(p+15) |