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 = 2 Reorder the terms: 128t + -16t2 = 2 Solving 128t + -16t2 = 2 Solving for variable 't'. Reorder the terms: -2 + 128t + -16t2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 128t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 64t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 64t + -8t2)' equal to zero and attempt to solve: Simplifying -1 + 64t + -8t2 = 0 Solving -1 + 64t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.125 + -8t + t2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + -8t + -0.125 + t2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + -8t + t2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -8t + t2 = 0 + -0.125 -8t + t2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 -8t + t2 = -0.125 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 = -0.125 + 16 Reorder the terms: 16 + -8t + t2 = -0.125 + 16 Combine like terms: -0.125 + 16 = 15.875 16 + -8t + t2 = 15.875 Factor a perfect square on the left side: (t + -4)(t + -4) = 15.875 Calculate the square root of the right side: 3.984344363 Break this problem into two subproblems by setting (t + -4) equal to 3.984344363 and -3.984344363.Subproblem 1
t + -4 = 3.984344363 Simplifying t + -4 = 3.984344363 Reorder the terms: -4 + t = 3.984344363 Solving -4 + t = 3.984344363 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 = 3.984344363 + 4 Combine like terms: -4 + 4 = 0 0 + t = 3.984344363 + 4 t = 3.984344363 + 4 Combine like terms: 3.984344363 + 4 = 7.984344363 t = 7.984344363 Simplifying t = 7.984344363Subproblem 2
t + -4 = -3.984344363 Simplifying t + -4 = -3.984344363 Reorder the terms: -4 + t = -3.984344363 Solving -4 + t = -3.984344363 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 = -3.984344363 + 4 Combine like terms: -4 + 4 = 0 0 + t = -3.984344363 + 4 t = -3.984344363 + 4 Combine like terms: -3.984344363 + 4 = 0.015655637 t = 0.015655637 Simplifying t = 0.015655637Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.984344363, 0.015655637}Solution
t = {7.984344363, 0.015655637}
| 1/5c+4=-9 | | -2-m=13 | | 2(x+9)=5(x+1) | | 5x-1=20x-10 | | 2x-5(-4)=16 | | -44=-5+9y | | 6x/10=36/15 | | n-18=-29 | | x=14(24)/4 | | 110=-7+9t | | 2y-12-y=38 | | 3a-45=89+16a | | 2(52)/13=x | | 6.4(3)/2=x | | m/-5+6=30 | | 2(9+x)=5(x+1) | | 6(x+4)=x+24 | | 2(0)-5y=16 | | 14+3a=8a-3(n-4) | | 4x+8=6x+22 | | -4(2-3x)=7-2(x-2) | | 13x-3=5x+29 | | -2x+2=24 | | 4/5x+7=-9 | | -20+-2x=2x+4 | | z(n-3)=4n+1 | | 6x+10=-30 | | -2x+2-2x^2=0 | | x=(9/4)y+73 | | 3x+-11=34+2x | | 5(x-3x)-3(x+1)=2x+10 | | 56+12*c=c*8+80 |