If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + -400t + 1000 = 0 Reorder the terms: 1000 + -400t + 16t2 = 0 Solving 1000 + -400t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '8'. 8(125 + -50t + 2t2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(125 + -50t + 2t2)' equal to zero and attempt to solve: Simplifying 125 + -50t + 2t2 = 0 Solving 125 + -50t + 2t2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 62.5 + -25t + t2 = 0 Move the constant term to the right: Add '-62.5' to each side of the equation. 62.5 + -25t + -62.5 + t2 = 0 + -62.5 Reorder the terms: 62.5 + -62.5 + -25t + t2 = 0 + -62.5 Combine like terms: 62.5 + -62.5 = 0.0 0.0 + -25t + t2 = 0 + -62.5 -25t + t2 = 0 + -62.5 Combine like terms: 0 + -62.5 = -62.5 -25t + t2 = -62.5 The t term is -25t. Take half its coefficient (-12.5). Square it (156.25) and add it to both sides. Add '156.25' to each side of the equation. -25t + 156.25 + t2 = -62.5 + 156.25 Reorder the terms: 156.25 + -25t + t2 = -62.5 + 156.25 Combine like terms: -62.5 + 156.25 = 93.75 156.25 + -25t + t2 = 93.75 Factor a perfect square on the left side: (t + -12.5)(t + -12.5) = 93.75 Calculate the square root of the right side: 9.682458366 Break this problem into two subproblems by setting (t + -12.5) equal to 9.682458366 and -9.682458366.Subproblem 1
t + -12.5 = 9.682458366 Simplifying t + -12.5 = 9.682458366 Reorder the terms: -12.5 + t = 9.682458366 Solving -12.5 + t = 9.682458366 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + t = 9.682458366 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + t = 9.682458366 + 12.5 t = 9.682458366 + 12.5 Combine like terms: 9.682458366 + 12.5 = 22.182458366 t = 22.182458366 Simplifying t = 22.182458366Subproblem 2
t + -12.5 = -9.682458366 Simplifying t + -12.5 = -9.682458366 Reorder the terms: -12.5 + t = -9.682458366 Solving -12.5 + t = -9.682458366 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + t = -9.682458366 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + t = -9.682458366 + 12.5 t = -9.682458366 + 12.5 Combine like terms: -9.682458366 + 12.5 = 2.817541634 t = 2.817541634 Simplifying t = 2.817541634Solution
The solution to the problem is based on the solutions from the subproblems. t = {22.182458366, 2.817541634}Solution
t = {22.182458366, 2.817541634}
| 12x-13=3y+b | | 2x2x1/5 | | 8-6x=18x-4 | | 10p+10=4(3p-1) | | (x+3)day+(y-2)dx=0 | | 10x+10=5x+20 | | -16=32(x-1) | | 12x-10=9-(10-3x) | | 5(x+2)-3(x-3)=15-2x | | 0=12x^2-160x+120 | | 5-tan^2x=4 | | 2x+28=x+18 | | 0=-16t^2+72t+20 | | 12x-2+3x=5x-6x+4 | | Tanx^2+tanx=0 | | 3y+6y=27 | | 0=16t^2+72t+20 | | sin(x)=(-7/10) | | sin(x)=(7/10) | | t(t-4)(t+9)=0 | | (1/3)93squared | | X^2+5x-16250=0 | | 10(z+1)-4(z-3)=3(z-1)+2(z-4) | | S^5=20 | | Y^2=216 | | (5w^2-7w+6)+(-4w^2+2w+3)= | | 7x/6=3x/2 | | 1-2x-3/5 | | 5cos^2x+4cosx=0 | | 1X+3Y=38 | | 9+3x=5x-5 | | x^2-4+y^2-2y=14 |