If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 86 = -10t + 5t2 Solving 86 = -10t + 5t2 Solving for variable 't'. Reorder the terms: 86 + 10t + -5t2 = -10t + 10t + 5t2 + -5t2 Combine like terms: -10t + 10t = 0 86 + 10t + -5t2 = 0 + 5t2 + -5t2 86 + 10t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 86 + 10t + -5t2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. -17.2 + -2t + t2 = 0 Move the constant term to the right: Add '17.2' to each side of the equation. -17.2 + -2t + 17.2 + t2 = 0 + 17.2 Reorder the terms: -17.2 + 17.2 + -2t + t2 = 0 + 17.2 Combine like terms: -17.2 + 17.2 = 0.0 0.0 + -2t + t2 = 0 + 17.2 -2t + t2 = 0 + 17.2 Combine like terms: 0 + 17.2 = 17.2 -2t + t2 = 17.2 The t term is -2t. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2t + 1 + t2 = 17.2 + 1 Reorder the terms: 1 + -2t + t2 = 17.2 + 1 Combine like terms: 17.2 + 1 = 18.2 1 + -2t + t2 = 18.2 Factor a perfect square on the left side: (t + -1)(t + -1) = 18.2 Calculate the square root of the right side: 4.266145802 Break this problem into two subproblems by setting (t + -1) equal to 4.266145802 and -4.266145802.Subproblem 1
t + -1 = 4.266145802 Simplifying t + -1 = 4.266145802 Reorder the terms: -1 + t = 4.266145802 Solving -1 + t = 4.266145802 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + t = 4.266145802 + 1 Combine like terms: -1 + 1 = 0 0 + t = 4.266145802 + 1 t = 4.266145802 + 1 Combine like terms: 4.266145802 + 1 = 5.266145802 t = 5.266145802 Simplifying t = 5.266145802Subproblem 2
t + -1 = -4.266145802 Simplifying t + -1 = -4.266145802 Reorder the terms: -1 + t = -4.266145802 Solving -1 + t = -4.266145802 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + t = -4.266145802 + 1 Combine like terms: -1 + 1 = 0 0 + t = -4.266145802 + 1 t = -4.266145802 + 1 Combine like terms: -4.266145802 + 1 = -3.266145802 t = -3.266145802 Simplifying t = -3.266145802Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.266145802, -3.266145802}
| -3x^2+45x-150=0 | | 945=45x+6 | | 125=(29-X)+X | | 3b+2+4=9 | | 5t^2-12t+63=0 | | 7y+2x=2 | | 6+5b=-9 | | 3h=4-21h | | m+2n=ym-5 | | 3h=14-21h-10 | | 75=13x | | (7x^2-10)(6x^2-3x)=0 | | -3(6p+5)-2(4-17p)=3(7+5p) | | 3h=14-21-10 | | 6x-4(x-1)=22 | | 2b-1a= | | 4+r^2=29 | | 6x^3-21x^2-96x+336=0 | | (x+4)/32=35/56 | | 4+2m=7m | | 3(5)-7*-10=-80 | | d=rt-5t^2 | | x^3+17x^2+15x-77=0 | | 3n-7*-10=-80 | | 2.5d+2=7-1.5d | | 5-4(y+1)=1.3y | | 3.21-16=4a | | 5(x-4)+3x-9x=6(2x+5)+8 | | 6+0.75e=2-1.25e | | 6-(2x+4)=-12 | | 7x^2-4x-80=0 | | 3(n+8)=60 |