If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16T2 + 36T + 5 = 0 Reorder the terms: 5 + 36T + 16T2 = 0 Solving 5 + 36T + 16T2 = 0 Solving for variable 'T'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.3125 + 2.25T + T2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + 2.25T + -0.3125 + T2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + 2.25T + T2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + 2.25T + T2 = 0 + -0.3125 2.25T + T2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 2.25T + T2 = -0.3125 The T term is 2.25T. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25T + 1.265625 + T2 = -0.3125 + 1.265625 Reorder the terms: 1.265625 + 2.25T + T2 = -0.3125 + 1.265625 Combine like terms: -0.3125 + 1.265625 = 0.953125 1.265625 + 2.25T + T2 = 0.953125 Factor a perfect square on the left side: (T + 1.125)(T + 1.125) = 0.953125 Calculate the square root of the right side: 0.976281209 Break this problem into two subproblems by setting (T + 1.125) equal to 0.976281209 and -0.976281209.Subproblem 1
T + 1.125 = 0.976281209 Simplifying T + 1.125 = 0.976281209 Reorder the terms: 1.125 + T = 0.976281209 Solving 1.125 + T = 0.976281209 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + T = 0.976281209 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + T = 0.976281209 + -1.125 T = 0.976281209 + -1.125 Combine like terms: 0.976281209 + -1.125 = -0.148718791 T = -0.148718791 Simplifying T = -0.148718791Subproblem 2
T + 1.125 = -0.976281209 Simplifying T + 1.125 = -0.976281209 Reorder the terms: 1.125 + T = -0.976281209 Solving 1.125 + T = -0.976281209 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + -1.125 + T = -0.976281209 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + T = -0.976281209 + -1.125 T = -0.976281209 + -1.125 Combine like terms: -0.976281209 + -1.125 = -2.101281209 T = -2.101281209 Simplifying T = -2.101281209Solution
The solution to the problem is based on the solutions from the subproblems. T = {-0.148718791, -2.101281209}
| 47+3x=180 | | 100=50*t | | 16(2)-18=4+5(2) | | -16T^2+24T+7=0 | | 14x+3x+8= | | 2(x-5)+6y= | | 5(2y+4)=14 | | sin^22x-4sin^2x+1=0 | | 5p-3q-2p+q= | | 4xsquared=64 | | 8w+4= | | 1080v^3+5= | | y=(1-3x)/4 | | 12x=13x+-10 | | -4(x-1)-(x+9)=5x-(x-16) | | 92-16b=2 | | log(x+3)+log(x+5)=2log(x-6) | | 7x+5=25x-2 | | 4x-3/5-4x/3=2(x-13)/15 | | 5+3x=2x+21-3x | | y-3=4(x+7) | | X^4+18x^2+121= | | 10-3r+5=3r-6 | | m-4+2m=3-4m | | 7a+3-2a=6+2a+9 | | 8y+3(5-y)=10 | | 5x-8=7x-52 | | 3x^2-5=55 | | 5/9x-5=10 | | 6p-8=p-3 | | 2a-5=3-6a | | 4/5(10)=8 |