If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 81 = -16t2 + 72t + 3 Reorder the terms: 81 = 3 + 72t + -16t2 Solving 81 = 3 + 72t + -16t2 Solving for variable 't'. Combine like terms: 81 + -3 = 78 78 + -72t + 16t2 = 3 + 72t + -16t2 + -3 + -72t + 16t2 Reorder the terms: 78 + -72t + 16t2 = 3 + -3 + 72t + -72t + -16t2 + 16t2 Combine like terms: 3 + -3 = 0 78 + -72t + 16t2 = 0 + 72t + -72t + -16t2 + 16t2 78 + -72t + 16t2 = 72t + -72t + -16t2 + 16t2 Combine like terms: 72t + -72t = 0 78 + -72t + 16t2 = 0 + -16t2 + 16t2 78 + -72t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 78 + -72t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(39 + -36t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(39 + -36t + 8t2)' equal to zero and attempt to solve: Simplifying 39 + -36t + 8t2 = 0 Solving 39 + -36t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 4.875 + -4.5t + t2 = 0 Move the constant term to the right: Add '-4.875' to each side of the equation. 4.875 + -4.5t + -4.875 + t2 = 0 + -4.875 Reorder the terms: 4.875 + -4.875 + -4.5t + t2 = 0 + -4.875 Combine like terms: 4.875 + -4.875 = 0.000 0.000 + -4.5t + t2 = 0 + -4.875 -4.5t + t2 = 0 + -4.875 Combine like terms: 0 + -4.875 = -4.875 -4.5t + t2 = -4.875 The t term is -4.5t. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5t + 5.0625 + t2 = -4.875 + 5.0625 Reorder the terms: 5.0625 + -4.5t + t2 = -4.875 + 5.0625 Combine like terms: -4.875 + 5.0625 = 0.1875 5.0625 + -4.5t + t2 = 0.1875 Factor a perfect square on the left side: (t + -2.25)(t + -2.25) = 0.1875 Calculate the square root of the right side: 0.433012702 Break this problem into two subproblems by setting (t + -2.25) equal to 0.433012702 and -0.433012702.Subproblem 1
t + -2.25 = 0.433012702 Simplifying t + -2.25 = 0.433012702 Reorder the terms: -2.25 + t = 0.433012702 Solving -2.25 + t = 0.433012702 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + t = 0.433012702 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + t = 0.433012702 + 2.25 t = 0.433012702 + 2.25 Combine like terms: 0.433012702 + 2.25 = 2.683012702 t = 2.683012702 Simplifying t = 2.683012702Subproblem 2
t + -2.25 = -0.433012702 Simplifying t + -2.25 = -0.433012702 Reorder the terms: -2.25 + t = -0.433012702 Solving -2.25 + t = -0.433012702 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + t = -0.433012702 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + t = -0.433012702 + 2.25 t = -0.433012702 + 2.25 Combine like terms: -0.433012702 + 2.25 = 1.816987298 t = 1.816987298 Simplifying t = 1.816987298Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.683012702, 1.816987298}Solution
t = {2.683012702, 1.816987298}
| 2.5(4-2x)+3=1.25(x+6)+1.75x-12.5 | | .8x-.05=.75x+.6 | | 7(-18)-8y=32 | | 12y=70-8x | | 14/16=x/8 | | 70-8x=12y | | 2.5--14.6.= | | 70-8y=12x | | 0.80+0.20(140)=0.40(32) | | 7(8)-8y=32 | | 2+8(1-8v)=458 | | x^2+y^2-4x-6y-23=0 | | 2x+74+6x+52=150 | | -2.1-5.7.-4= | | (5*50+46)= | | 2*((186-x)/2) | | .25*4.99= | | 5x^2+1x=4x^2+4x | | -2x-7+8=21 | | (2x-9)/3=10-(1/5)x | | 2x+65+5x+55=155 | | -5x+13=.5x-6.5 | | 5/7x-1/7=3 | | (16800-x)/168000=.60 | | 84+7y=70 | | (2x-9)/3=10-(1/5) | | 11y+4=5 | | 11/3/x22/5 | | x+(x+80)+(x-25)=325 | | 45+5x+20=x+85 | | -42+7y=70 | | 5(x+2)=3(x-3) |