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 + 26t + 100 Reorder the terms: 0 = 100 + 26t + -16t2 Solving 0 = 100 + 26t + -16t2 Solving for variable 't'. Combine like terms: 0 + -100 = -100 -100 + -26t + 16t2 = 100 + 26t + -16t2 + -100 + -26t + 16t2 Reorder the terms: -100 + -26t + 16t2 = 100 + -100 + 26t + -26t + -16t2 + 16t2 Combine like terms: 100 + -100 = 0 -100 + -26t + 16t2 = 0 + 26t + -26t + -16t2 + 16t2 -100 + -26t + 16t2 = 26t + -26t + -16t2 + 16t2 Combine like terms: 26t + -26t = 0 -100 + -26t + 16t2 = 0 + -16t2 + 16t2 -100 + -26t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -100 + -26t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-50 + -13t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-50 + -13t + 8t2)' equal to zero and attempt to solve: Simplifying -50 + -13t + 8t2 = 0 Solving -50 + -13t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -6.25 + -1.625t + t2 = 0 Move the constant term to the right: Add '6.25' to each side of the equation. -6.25 + -1.625t + 6.25 + t2 = 0 + 6.25 Reorder the terms: -6.25 + 6.25 + -1.625t + t2 = 0 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + -1.625t + t2 = 0 + 6.25 -1.625t + t2 = 0 + 6.25 Combine like terms: 0 + 6.25 = 6.25 -1.625t + t2 = 6.25 The t term is -1.625t. Take half its coefficient (-0.8125). Square it (0.66015625) and add it to both sides. Add '0.66015625' to each side of the equation. -1.625t + 0.66015625 + t2 = 6.25 + 0.66015625 Reorder the terms: 0.66015625 + -1.625t + t2 = 6.25 + 0.66015625 Combine like terms: 6.25 + 0.66015625 = 6.91015625 0.66015625 + -1.625t + t2 = 6.91015625 Factor a perfect square on the left side: (t + -0.8125)(t + -0.8125) = 6.91015625 Calculate the square root of the right side: 2.628717606 Break this problem into two subproblems by setting (t + -0.8125) equal to 2.628717606 and -2.628717606.Subproblem 1
t + -0.8125 = 2.628717606 Simplifying t + -0.8125 = 2.628717606 Reorder the terms: -0.8125 + t = 2.628717606 Solving -0.8125 + t = 2.628717606 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.8125' to each side of the equation. -0.8125 + 0.8125 + t = 2.628717606 + 0.8125 Combine like terms: -0.8125 + 0.8125 = 0.0000 0.0000 + t = 2.628717606 + 0.8125 t = 2.628717606 + 0.8125 Combine like terms: 2.628717606 + 0.8125 = 3.441217606 t = 3.441217606 Simplifying t = 3.441217606Subproblem 2
t + -0.8125 = -2.628717606 Simplifying t + -0.8125 = -2.628717606 Reorder the terms: -0.8125 + t = -2.628717606 Solving -0.8125 + t = -2.628717606 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.8125' to each side of the equation. -0.8125 + 0.8125 + t = -2.628717606 + 0.8125 Combine like terms: -0.8125 + 0.8125 = 0.0000 0.0000 + t = -2.628717606 + 0.8125 t = -2.628717606 + 0.8125 Combine like terms: -2.628717606 + 0.8125 = -1.816217606 t = -1.816217606 Simplifying t = -1.816217606Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.441217606, -1.816217606}Solution
t = {3.441217606, -1.816217606}
| 15-2.5h=4h | | (2+2)^2/(5-3)^2 | | 2b+3b-13=-3 | | 2n-3n+1=5 | | b^2-4ac=-3 | | 3x+2=3(x+8) | | 21x-28-15x-25=7x-70 | | 18=-a | | 2m+3=142 | | 2x-5/3=11 | | 83/12-31/4 | | 4=9c+40 | | 31/4-5/6 | | 6x+4=15x+8 | | 2/4(x-16)=-6 | | 18x-24-10x-15=17 | | 3m+8m=6m | | 6x-8+3x=12x+8 | | 2x+10+2x-22=3x-18 | | .4(x+2.4)=2.96 | | (4x+9)+(2x-12)= | | 27x-36-14x+63=300 | | 4.5(x-9)=-25 | | 19-7m=14-6m | | 3/16-1/4 | | 5t^2+t=42 | | 2x-4(3x+1)-5= | | 3x-10+x+15=25 | | 11x-14=3x-14 | | x-1/x^3+2x | | N+17=14+3 | | -6+-12+-10+25= |