If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 128 + 16t + -16t2 = 32t Solving 128 + 16t + -16t2 = 32t Solving for variable 't'. Reorder the terms: 128 + 16t + -32t + -16t2 = 32t + -32t Combine like terms: 16t + -32t = -16t 128 + -16t + -16t2 = 32t + -32t Combine like terms: 32t + -32t = 0 128 + -16t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(8 + -1t + -1t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(8 + -1t + -1t2)' equal to zero and attempt to solve: Simplifying 8 + -1t + -1t2 = 0 Solving 8 + -1t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -8 + t + t2 = 0 Move the constant term to the right: Add '8' to each side of the equation. -8 + t + 8 + t2 = 0 + 8 Reorder the terms: -8 + 8 + t + t2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + t + t2 = 0 + 8 t + t2 = 0 + 8 Combine like terms: 0 + 8 = 8 t + t2 = 8 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + t2 = 8 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + t2 = 8 + 0.25 Combine like terms: 8 + 0.25 = 8.25 1.25 + t2 = 8.25 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = 8.25 Calculate the square root of the right side: 2.872281323 Break this problem into two subproblems by setting (t + 0.5) equal to 2.872281323 and -2.872281323.Subproblem 1
t + 0.5 = 2.872281323 Simplifying t + 0.5 = 2.872281323 Reorder the terms: 0.5 + t = 2.872281323 Solving 0.5 + t = 2.872281323 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = 2.872281323 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = 2.872281323 + -0.5 t = 2.872281323 + -0.5 Combine like terms: 2.872281323 + -0.5 = 2.372281323 t = 2.372281323 Simplifying t = 2.372281323Subproblem 2
t + 0.5 = -2.872281323 Simplifying t + 0.5 = -2.872281323 Reorder the terms: 0.5 + t = -2.872281323 Solving 0.5 + t = -2.872281323 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = -2.872281323 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = -2.872281323 + -0.5 t = -2.872281323 + -0.5 Combine like terms: -2.872281323 + -0.5 = -3.372281323 t = -3.372281323 Simplifying t = -3.372281323Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.372281323, -3.372281323}Solution
t = {2.372281323, -3.372281323}
| 1/9u=1 | | (-9)-(22)= | | ln(4x)=25 | | 3(-2-6x)=222 | | x-20x=0 | | 5(X+2)=6+3 | | 7x-14(x+1)=-7x+19 | | 15x-5=15x-24 | | 4x^6-36x^4+x^2-12=0 | | 58+78+x=180 | | 11+3m=m+7 | | 3(d-2)=5d+8 | | 15x-15=15x-24 | | 541-64x=-803 | | 4(1+5x)=-174 | | Ln^2(3x)=8 | | 2x+213838=18 | | 2-3(-8x+4)+5x-2(3x+2)=-4(-2x-15)+3x-8 | | (-37)-(11)= | | 2x+5=-5x-5 | | 11=z | | x+2+90=180 | | -7x+6=-14x-15 | | 0=(x^2)-52x+689 | | 541+64x=-803 | | 8.5x=85 | | 8(4x+6)=-11(x+7) | | 2p-4p=6 | | 7x-25=6-3x+5-2x | | 4a-10=3(a+1)+18a+5 | | -2(x+1)=2(x-2) | | 11=-z |