If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 6 + 96t + -16t2 Solving 0 = 6 + 96t + -16t2 Solving for variable 't'. Combine like terms: 0 + -6 = -6 -6 + -96t + 16t2 = 6 + 96t + -16t2 + -6 + -96t + 16t2 Reorder the terms: -6 + -96t + 16t2 = 6 + -6 + 96t + -96t + -16t2 + 16t2 Combine like terms: 6 + -6 = 0 -6 + -96t + 16t2 = 0 + 96t + -96t + -16t2 + 16t2 -6 + -96t + 16t2 = 96t + -96t + -16t2 + 16t2 Combine like terms: 96t + -96t = 0 -6 + -96t + 16t2 = 0 + -16t2 + 16t2 -6 + -96t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -6 + -96t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -48t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -48t + 8t2)' equal to zero and attempt to solve: Simplifying -3 + -48t + 8t2 = 0 Solving -3 + -48t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -0.375 + -6t + t2 = 0 Move the constant term to the right: Add '0.375' to each side of the equation. -0.375 + -6t + 0.375 + t2 = 0 + 0.375 Reorder the terms: -0.375 + 0.375 + -6t + t2 = 0 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + -6t + t2 = 0 + 0.375 -6t + t2 = 0 + 0.375 Combine like terms: 0 + 0.375 = 0.375 -6t + t2 = 0.375 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = 0.375 + 9 Reorder the terms: 9 + -6t + t2 = 0.375 + 9 Combine like terms: 0.375 + 9 = 9.375 9 + -6t + t2 = 9.375 Factor a perfect square on the left side: (t + -3)(t + -3) = 9.375 Calculate the square root of the right side: 3.061862178 Break this problem into two subproblems by setting (t + -3) equal to 3.061862178 and -3.061862178.Subproblem 1
t + -3 = 3.061862178 Simplifying t + -3 = 3.061862178 Reorder the terms: -3 + t = 3.061862178 Solving -3 + t = 3.061862178 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = 3.061862178 + 3 Combine like terms: -3 + 3 = 0 0 + t = 3.061862178 + 3 t = 3.061862178 + 3 Combine like terms: 3.061862178 + 3 = 6.061862178 t = 6.061862178 Simplifying t = 6.061862178Subproblem 2
t + -3 = -3.061862178 Simplifying t + -3 = -3.061862178 Reorder the terms: -3 + t = -3.061862178 Solving -3 + t = -3.061862178 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = -3.061862178 + 3 Combine like terms: -3 + 3 = 0 0 + t = -3.061862178 + 3 t = -3.061862178 + 3 Combine like terms: -3.061862178 + 3 = -0.061862178 t = -0.061862178 Simplifying t = -0.061862178Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.061862178, -0.061862178}Solution
t = {6.061862178, -0.061862178}
| 3=i/3.3 | | c-d=-3 | | 4x-2(x-1)=10-2(x-3) | | 2x12+3.6/2.4 | | 3/11(-22y-33)+2y | | -5a-b=-7 | | 7+10x=11x+2 | | 3x^2-5x+6x-10=0 | | 3x-5+x+25=180 | | X-0.07x=986 | | (2x)+(x-12)=180 | | F(x)=x^3+9x^2-15x+7 | | 11=3/4(w+12)-1/4w | | 7(w-4)-8w=-18 | | 16x+8=120 | | 1/7x+1/3x=6/7 | | 8t+3-7t=20 | | 7=f-26 | | 2x-11+x+47=180 | | -4w-6+20w-3= | | 3x+21=2x+11 | | y=-15x+90 | | 8.2c+d-3.6c+4d= | | 5x+4(x-14)=44 | | -61/8=2r-21/8 | | 2x-20+x+5+120=180 | | 50=2x+2(2x-16) | | 0.05x+0.08(1000-x)=59 | | a+4(a-2)=-1 | | -5g+(6g-4)= | | 3x+4=2x+5+x | | 9/2times4/3 |