If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying t(8t + 600) = 20400 Reorder the terms: t(600 + 8t) = 20400 (600 * t + 8t * t) = 20400 (600t + 8t2) = 20400 Solving 600t + 8t2 = 20400 Solving for variable 't'. Reorder the terms: -20400 + 600t + 8t2 = 20400 + -20400 Combine like terms: 20400 + -20400 = 0 -20400 + 600t + 8t2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-2550 + 75t + t2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-2550 + 75t + t2)' equal to zero and attempt to solve: Simplifying -2550 + 75t + t2 = 0 Solving -2550 + 75t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '2550' to each side of the equation. -2550 + 75t + 2550 + t2 = 0 + 2550 Reorder the terms: -2550 + 2550 + 75t + t2 = 0 + 2550 Combine like terms: -2550 + 2550 = 0 0 + 75t + t2 = 0 + 2550 75t + t2 = 0 + 2550 Combine like terms: 0 + 2550 = 2550 75t + t2 = 2550 The t term is 75t. Take half its coefficient (37.5). Square it (1406.25) and add it to both sides. Add '1406.25' to each side of the equation. 75t + 1406.25 + t2 = 2550 + 1406.25 Reorder the terms: 1406.25 + 75t + t2 = 2550 + 1406.25 Combine like terms: 2550 + 1406.25 = 3956.25 1406.25 + 75t + t2 = 3956.25 Factor a perfect square on the left side: (t + 37.5)(t + 37.5) = 3956.25 Calculate the square root of the right side: 62.898728127 Break this problem into two subproblems by setting (t + 37.5) equal to 62.898728127 and -62.898728127.Subproblem 1
t + 37.5 = 62.898728127 Simplifying t + 37.5 = 62.898728127 Reorder the terms: 37.5 + t = 62.898728127 Solving 37.5 + t = 62.898728127 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-37.5' to each side of the equation. 37.5 + -37.5 + t = 62.898728127 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + t = 62.898728127 + -37.5 t = 62.898728127 + -37.5 Combine like terms: 62.898728127 + -37.5 = 25.398728127 t = 25.398728127 Simplifying t = 25.398728127Subproblem 2
t + 37.5 = -62.898728127 Simplifying t + 37.5 = -62.898728127 Reorder the terms: 37.5 + t = -62.898728127 Solving 37.5 + t = -62.898728127 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-37.5' to each side of the equation. 37.5 + -37.5 + t = -62.898728127 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + t = -62.898728127 + -37.5 t = -62.898728127 + -37.5 Combine like terms: -62.898728127 + -37.5 = -100.398728127 t = -100.398728127 Simplifying t = -100.398728127Solution
The solution to the problem is based on the solutions from the subproblems. t = {25.398728127, -100.398728127}Solution
t = {25.398728127, -100.398728127}
| 50+8x=-34 | | 6/5=2x/5 | | -19-(-2.65)= | | 8(x)-4=0 | | x(x+1)=1035 | | 18.5=5x+2 | | 5(4b-1)=3(2b+4) | | 7(x+3)=2x+4 | | 4+P*7-2=13 | | 5a+8+(-8)=-24 | | 4x+3(5x+28)=198 | | 4x+3(5x+28)=19 | | 7b-5=1 | | 0.06-0.4-1.5= | | 2(3n+5)=3n-2 | | 0.06+-0.4= | | -16-10x=14 | | 5a+8(-2a)=-7 | | 8v-6v=18 | | 4x-17=2x+1 | | 3(2n-5)-7=-22 | | x/8-1/4=24 | | ((x-32)/1.8)=x | | 2-2s=3/4s=13 | | a^2=5a+14 | | ((15n^5)/(3x^3y^4)/(5mn^3)/(6x^2y)) | | P/22 | | 5k+14=3 | | 4-1/4x=-3 | | 16.8=m*300000000 | | 2/3x-5/8x=28 | | 8n+20=-12 |