If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 40 = -4.9t2 + 30t + 12 Reorder the terms: 40 = 12 + 30t + -4.9t2 Solving 40 = 12 + 30t + -4.9t2 Solving for variable 't'. Combine like terms: 40 + -12 = 28 28 + -30t + 4.9t2 = 12 + 30t + -4.9t2 + -12 + -30t + 4.9t2 Reorder the terms: 28 + -30t + 4.9t2 = 12 + -12 + 30t + -30t + -4.9t2 + 4.9t2 Combine like terms: 12 + -12 = 0 28 + -30t + 4.9t2 = 0 + 30t + -30t + -4.9t2 + 4.9t2 28 + -30t + 4.9t2 = 30t + -30t + -4.9t2 + 4.9t2 Combine like terms: 30t + -30t = 0 28 + -30t + 4.9t2 = 0 + -4.9t2 + 4.9t2 28 + -30t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 28 + -30t + 4.9t2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 5.714285714 + -6.12244898t + t2 = 0 Move the constant term to the right: Add '-5.714285714' to each side of the equation. 5.714285714 + -6.12244898t + -5.714285714 + t2 = 0 + -5.714285714 Reorder the terms: 5.714285714 + -5.714285714 + -6.12244898t + t2 = 0 + -5.714285714 Combine like terms: 5.714285714 + -5.714285714 = 0.000000000 0.000000000 + -6.12244898t + t2 = 0 + -5.714285714 -6.12244898t + t2 = 0 + -5.714285714 Combine like terms: 0 + -5.714285714 = -5.714285714 -6.12244898t + t2 = -5.714285714 The t term is -6.12244898t. Take half its coefficient (-3.06122449). Square it (9.371095378) and add it to both sides. Add '9.371095378' to each side of the equation. -6.12244898t + 9.371095378 + t2 = -5.714285714 + 9.371095378 Reorder the terms: 9.371095378 + -6.12244898t + t2 = -5.714285714 + 9.371095378 Combine like terms: -5.714285714 + 9.371095378 = 3.656809664 9.371095378 + -6.12244898t + t2 = 3.656809664 Factor a perfect square on the left side: (t + -3.06122449)(t + -3.06122449) = 3.656809664 Calculate the square root of the right side: 1.912278658 Break this problem into two subproblems by setting (t + -3.06122449) equal to 1.912278658 and -1.912278658.Subproblem 1
t + -3.06122449 = 1.912278658 Simplifying t + -3.06122449 = 1.912278658 Reorder the terms: -3.06122449 + t = 1.912278658 Solving -3.06122449 + t = 1.912278658 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.06122449' to each side of the equation. -3.06122449 + 3.06122449 + t = 1.912278658 + 3.06122449 Combine like terms: -3.06122449 + 3.06122449 = 0.00000000 0.00000000 + t = 1.912278658 + 3.06122449 t = 1.912278658 + 3.06122449 Combine like terms: 1.912278658 + 3.06122449 = 4.973503148 t = 4.973503148 Simplifying t = 4.973503148Subproblem 2
t + -3.06122449 = -1.912278658 Simplifying t + -3.06122449 = -1.912278658 Reorder the terms: -3.06122449 + t = -1.912278658 Solving -3.06122449 + t = -1.912278658 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.06122449' to each side of the equation. -3.06122449 + 3.06122449 + t = -1.912278658 + 3.06122449 Combine like terms: -3.06122449 + 3.06122449 = 0.00000000 0.00000000 + t = -1.912278658 + 3.06122449 t = -1.912278658 + 3.06122449 Combine like terms: -1.912278658 + 3.06122449 = 1.148945832 t = 1.148945832 Simplifying t = 1.148945832Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.973503148, 1.148945832}
| 9x+63+cry+7y=0 | | 5x+6=x-38 | | -2+5x=4-3x | | 12v=8v+36 | | 3(10+5b)+4b=-11(1+2b) | | 10x+4=15x-7 | | 5600e^5k=6300 | | 48=38+.99n | | 40-v=7v | | 8.1E+12= | | -[y^2-2]=y^2-5-2y^2 | | 48.00=38.00+.99n | | 40=4.9t^2+30t+12 | | 3w=42-4w | | 4t^2-120t+1570.8=0 | | 4x-11=-59 | | =(1+0.005)12 | | 232=98-w | | 4X/9=12 | | (21x+42)=21 | | 3x+4y=11.33 | | 6w^2-w-28=0 | | -7(9-8x)=105 | | -49a^18b2/-7a^10b | | -w+46=294 | | 6-6x-3+9=7+5-7x | | -3(7p+4)-2(4-17p)=3(7+4p) | | 4d-10(3d-27)=120 | | 7(2x-11)=63x | | 176-v=134 | | -48a^18b2/-7a10b | | -4x^2+40x-80=0 |