If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 16t2 + 96t + -36 Reorder the terms: 0 = -36 + 96t + 16t2 Solving 0 = -36 + 96t + 16t2 Solving for variable 't'. Combine like terms: 0 + 36 = 36 36 + -96t + -16t2 = -36 + 96t + 16t2 + 36 + -96t + -16t2 Reorder the terms: 36 + -96t + -16t2 = -36 + 36 + 96t + -96t + 16t2 + -16t2 Combine like terms: -36 + 36 = 0 36 + -96t + -16t2 = 0 + 96t + -96t + 16t2 + -16t2 36 + -96t + -16t2 = 96t + -96t + 16t2 + -16t2 Combine like terms: 96t + -96t = 0 36 + -96t + -16t2 = 0 + 16t2 + -16t2 36 + -96t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 36 + -96t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -24t + -4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + -24t + -4t2)' equal to zero and attempt to solve: Simplifying 9 + -24t + -4t2 = 0 Solving 9 + -24t + -4t2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -2.25 + 6t + t2 = 0 Move the constant term to the right: Add '2.25' to each side of the equation. -2.25 + 6t + 2.25 + t2 = 0 + 2.25 Reorder the terms: -2.25 + 2.25 + 6t + t2 = 0 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + 6t + t2 = 0 + 2.25 6t + t2 = 0 + 2.25 Combine like terms: 0 + 2.25 = 2.25 6t + t2 = 2.25 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 = 2.25 + 9 Reorder the terms: 9 + 6t + t2 = 2.25 + 9 Combine like terms: 2.25 + 9 = 11.25 9 + 6t + t2 = 11.25 Factor a perfect square on the left side: (t + 3)(t + 3) = 11.25 Calculate the square root of the right side: 3.354101966 Break this problem into two subproblems by setting (t + 3) equal to 3.354101966 and -3.354101966.Subproblem 1
t + 3 = 3.354101966 Simplifying t + 3 = 3.354101966 Reorder the terms: 3 + t = 3.354101966 Solving 3 + t = 3.354101966 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 = 3.354101966 + -3 Combine like terms: 3 + -3 = 0 0 + t = 3.354101966 + -3 t = 3.354101966 + -3 Combine like terms: 3.354101966 + -3 = 0.354101966 t = 0.354101966 Simplifying t = 0.354101966Subproblem 2
t + 3 = -3.354101966 Simplifying t + 3 = -3.354101966 Reorder the terms: 3 + t = -3.354101966 Solving 3 + t = -3.354101966 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 = -3.354101966 + -3 Combine like terms: 3 + -3 = 0 0 + t = -3.354101966 + -3 t = -3.354101966 + -3 Combine like terms: -3.354101966 + -3 = -6.354101966 t = -6.354101966 Simplifying t = -6.354101966Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.354101966, -6.354101966}Solution
t = {0.354101966, -6.354101966}
| 2x+2+16x-2=90 | | 6(c-3)+2+5c=17 | | 2x+6+11x-7=90 | | 2(g+3)=14 | | 4x+7y=45 | | 5+2x+3=1+2x+15 | | x(3x+4)=0 | | x^2+20x+97=0 | | h=-16t^2+56+18 | | 2x^2+23x=0 | | 117=68 | | x^2+x^2+4x+4x+16=x^2+8x+64 | | -7x+10=73 | | 6[6a-3a(2a+4b)+6a^2]= | | 9-10x=39-31x | | Y^2+13Y-64=0 | | 109-3x=15x+21 | | [14-8(x-5y)+10(3x+y)]= | | 12+14r+9m-2r-3m+25= | | 4y-x-35=0 | | [14-8(x-5y)+10(3x-y)]= | | 10z-13z= | | 3=-4-Z | | 10(8x+9)=50 | | 4c^2-25d^2=0 | | 2[2(x+y)-3(6x-6y)]= | | X+5=145 | | 2x-5=6x+3 | | 6x+4(9x+5)= | | 6(7+10x)=-78 | | -16t^2+16t+32= | | 9y^2-162y+585=0 |