If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 128t = 122 Reorder the terms: 128t + -16t2 = 122 Solving 128t + -16t2 = 122 Solving for variable 't'. Reorder the terms: -122 + 128t + -16t2 = 122 + -122 Combine like terms: 122 + -122 = 0 -122 + 128t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-61 + 64t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-61 + 64t + -8t2)' equal to zero and attempt to solve: Simplifying -61 + 64t + -8t2 = 0 Solving -61 + 64t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 7.625 + -8t + t2 = 0 Move the constant term to the right: Add '-7.625' to each side of the equation. 7.625 + -8t + -7.625 + t2 = 0 + -7.625 Reorder the terms: 7.625 + -7.625 + -8t + t2 = 0 + -7.625 Combine like terms: 7.625 + -7.625 = 0.000 0.000 + -8t + t2 = 0 + -7.625 -8t + t2 = 0 + -7.625 Combine like terms: 0 + -7.625 = -7.625 -8t + t2 = -7.625 The t term is -8t. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8t + 16 + t2 = -7.625 + 16 Reorder the terms: 16 + -8t + t2 = -7.625 + 16 Combine like terms: -7.625 + 16 = 8.375 16 + -8t + t2 = 8.375 Factor a perfect square on the left side: (t + -4)(t + -4) = 8.375 Calculate the square root of the right side: 2.893959226 Break this problem into two subproblems by setting (t + -4) equal to 2.893959226 and -2.893959226.Subproblem 1
t + -4 = 2.893959226 Simplifying t + -4 = 2.893959226 Reorder the terms: -4 + t = 2.893959226 Solving -4 + t = 2.893959226 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 2.893959226 + 4 Combine like terms: -4 + 4 = 0 0 + t = 2.893959226 + 4 t = 2.893959226 + 4 Combine like terms: 2.893959226 + 4 = 6.893959226 t = 6.893959226 Simplifying t = 6.893959226Subproblem 2
t + -4 = -2.893959226 Simplifying t + -4 = -2.893959226 Reorder the terms: -4 + t = -2.893959226 Solving -4 + t = -2.893959226 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = -2.893959226 + 4 Combine like terms: -4 + 4 = 0 0 + t = -2.893959226 + 4 t = -2.893959226 + 4 Combine like terms: -2.893959226 + 4 = 1.106040774 t = 1.106040774 Simplifying t = 1.106040774Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.893959226, 1.106040774}Solution
t = {6.893959226, 1.106040774}
| 7/9=9/6b-27 | | (2x+4)=(5x+1)-2 | | 7z-z=18 | | 205+25*x=2005 | | Qd=13-0.3P | | M+3n=-7 | | 2(x+3)+5x=7x+6 | | 1k-42=3k+28 | | 12n+8-5n=4 | | 630x+600=120x+3660 | | 3m-2n=1 | | 6(x-1)-x=-2(x+1)+x-1 | | -27=9v | | 4z+1=5z-4 | | -x/7=-60 | | -2x+-x=-3 | | 88=22/7*d | | 2x^2+1=-4 | | 4z/9-4=10 | | -16x^2+128x+4096=0 | | 6*x+3*x-500=4000 | | 7m^2+7m=42 | | b^2=2b+24 | | 2n^2+7n-9=0 | | x+7-2=0 | | 7(x+2)+2=-5(x-6)+2(25-3x) | | 8b^2+72=48b | | Y=4/2x=1 | | -2-9b=5b^2 | | 134=5x(-39) | | 2(3x-4)=2(x-2)+2-x | | 7(3-5)= |