If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 150 = -16t2 + 140t + 3 Reorder the terms: 150 = 3 + 140t + -16t2 Solving 150 = 3 + 140t + -16t2 Solving for variable 't'. Combine like terms: 150 + -3 = 147 147 + -140t + 16t2 = 3 + 140t + -16t2 + -3 + -140t + 16t2 Reorder the terms: 147 + -140t + 16t2 = 3 + -3 + 140t + -140t + -16t2 + 16t2 Combine like terms: 3 + -3 = 0 147 + -140t + 16t2 = 0 + 140t + -140t + -16t2 + 16t2 147 + -140t + 16t2 = 140t + -140t + -16t2 + 16t2 Combine like terms: 140t + -140t = 0 147 + -140t + 16t2 = 0 + -16t2 + 16t2 147 + -140t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 147 + -140t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 9.1875 + -8.75t + t2 = 0 Move the constant term to the right: Add '-9.1875' to each side of the equation. 9.1875 + -8.75t + -9.1875 + t2 = 0 + -9.1875 Reorder the terms: 9.1875 + -9.1875 + -8.75t + t2 = 0 + -9.1875 Combine like terms: 9.1875 + -9.1875 = 0.0000 0.0000 + -8.75t + t2 = 0 + -9.1875 -8.75t + t2 = 0 + -9.1875 Combine like terms: 0 + -9.1875 = -9.1875 -8.75t + t2 = -9.1875 The t term is -8.75t. Take half its coefficient (-4.375). Square it (19.140625) and add it to both sides. Add '19.140625' to each side of the equation. -8.75t + 19.140625 + t2 = -9.1875 + 19.140625 Reorder the terms: 19.140625 + -8.75t + t2 = -9.1875 + 19.140625 Combine like terms: -9.1875 + 19.140625 = 9.953125 19.140625 + -8.75t + t2 = 9.953125 Factor a perfect square on the left side: (t + -4.375)(t + -4.375) = 9.953125 Calculate the square root of the right side: 3.154857366 Break this problem into two subproblems by setting (t + -4.375) equal to 3.154857366 and -3.154857366.Subproblem 1
t + -4.375 = 3.154857366 Simplifying t + -4.375 = 3.154857366 Reorder the terms: -4.375 + t = 3.154857366 Solving -4.375 + t = 3.154857366 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.375' to each side of the equation. -4.375 + 4.375 + t = 3.154857366 + 4.375 Combine like terms: -4.375 + 4.375 = 0.000 0.000 + t = 3.154857366 + 4.375 t = 3.154857366 + 4.375 Combine like terms: 3.154857366 + 4.375 = 7.529857366 t = 7.529857366 Simplifying t = 7.529857366Subproblem 2
t + -4.375 = -3.154857366 Simplifying t + -4.375 = -3.154857366 Reorder the terms: -4.375 + t = -3.154857366 Solving -4.375 + t = -3.154857366 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.375' to each side of the equation. -4.375 + 4.375 + t = -3.154857366 + 4.375 Combine like terms: -4.375 + 4.375 = 0.000 0.000 + t = -3.154857366 + 4.375 t = -3.154857366 + 4.375 Combine like terms: -3.154857366 + 4.375 = 1.220142634 t = 1.220142634 Simplifying t = 1.220142634Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.529857366, 1.220142634}
| v+(v-31.1)+(v+26.7)=187.3 | | 6(x-5)=84/14 | | p(x)=60x-.2x^2 | | 0=6x^2-20x-12 | | -54/117 | | 5(x-3)=120/12 | | 6r^2+18r=-12 | | 5(y-b)+3b-6y+4(6+b)= | | sin(4x)=-2sin(2x) | | 6x^2=-36x-30 | | W/0.3=-1.49 | | (x-3)*37= | | 8x=72+4x | | (x-3)*34= | | v^2=-5v | | 24/8=6x+2(-5x) | | -7n^2=-488 | | 2b^2=-26b-80 | | v+v-31.1+v+26.7=197.3 | | 4v^2+4v=224 | | v+(v-31.1)+(v+26.7)=197.3 | | v+(v-31.1)+(v+26.7)=1997.3 | | X^2+12x-100=0 | | 4x^2+140=-48x | | 2/5h-2/1/5+3 | | 30.10-n*11.50=7.10 | | (x-3)(2x+7)=1 | | 2k(k+7)=-49 | | 14x+17=6x-4 | | -18/3 | | 5(w-3)-8w=6 | | 0=x^2+16.5+8 |