If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8 = 4.9t2 + 19t Reorder the terms: 8 = 19t + 4.9t2 Solving 8 = 19t + 4.9t2 Solving for variable 't'. Reorder the terms: 8 + -19t + -4.9t2 = 19t + -19t + 4.9t2 + -4.9t2 Combine like terms: 19t + -19t = 0 8 + -19t + -4.9t2 = 0 + 4.9t2 + -4.9t2 8 + -19t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 8 + -19t + -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'. -1.632653061 + 3.87755102t + t2 = 0 Move the constant term to the right: Add '1.632653061' to each side of the equation. -1.632653061 + 3.87755102t + 1.632653061 + t2 = 0 + 1.632653061 Reorder the terms: -1.632653061 + 1.632653061 + 3.87755102t + t2 = 0 + 1.632653061 Combine like terms: -1.632653061 + 1.632653061 = 0.000000000 0.000000000 + 3.87755102t + t2 = 0 + 1.632653061 3.87755102t + t2 = 0 + 1.632653061 Combine like terms: 0 + 1.632653061 = 1.632653061 3.87755102t + t2 = 1.632653061 The t term is 3.87755102t. Take half its coefficient (1.93877551). Square it (3.758850478) and add it to both sides. Add '3.758850478' to each side of the equation. 3.87755102t + 3.758850478 + t2 = 1.632653061 + 3.758850478 Reorder the terms: 3.758850478 + 3.87755102t + t2 = 1.632653061 + 3.758850478 Combine like terms: 1.632653061 + 3.758850478 = 5.391503539 3.758850478 + 3.87755102t + t2 = 5.391503539 Factor a perfect square on the left side: (t + 1.93877551)(t + 1.93877551) = 5.391503539 Calculate the square root of the right side: 2.321961141 Break this problem into two subproblems by setting (t + 1.93877551) equal to 2.321961141 and -2.321961141.Subproblem 1
t + 1.93877551 = 2.321961141 Simplifying t + 1.93877551 = 2.321961141 Reorder the terms: 1.93877551 + t = 2.321961141 Solving 1.93877551 + t = 2.321961141 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.93877551' to each side of the equation. 1.93877551 + -1.93877551 + t = 2.321961141 + -1.93877551 Combine like terms: 1.93877551 + -1.93877551 = 0.00000000 0.00000000 + t = 2.321961141 + -1.93877551 t = 2.321961141 + -1.93877551 Combine like terms: 2.321961141 + -1.93877551 = 0.383185631 t = 0.383185631 Simplifying t = 0.383185631Subproblem 2
t + 1.93877551 = -2.321961141 Simplifying t + 1.93877551 = -2.321961141 Reorder the terms: 1.93877551 + t = -2.321961141 Solving 1.93877551 + t = -2.321961141 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.93877551' to each side of the equation. 1.93877551 + -1.93877551 + t = -2.321961141 + -1.93877551 Combine like terms: 1.93877551 + -1.93877551 = 0.00000000 0.00000000 + t = -2.321961141 + -1.93877551 t = -2.321961141 + -1.93877551 Combine like terms: -2.321961141 + -1.93877551 = -4.260736651 t = -4.260736651 Simplifying t = -4.260736651Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.383185631, -4.260736651}
| 2x^2-27x+18=0 | | 10x-5=14x+2(x-4) | | 17x=17x+11 | | 3x^2-6x-19=19 | | ln(x^7)-(ln(x^5))=2 | | x^3-13x^2-186x+1368=0 | | 1x-0.51+.03=1 | | d(t)=365-65t | | X^2+2x=y^2+40 | | 5x^2-2x^4+1=0 | | 5=25e | | 16x-7+14x+7=180 | | 39.99+0.45*10=44.99+0.40*10 | | 2Q^2-7Q=-5 | | 5x^2+20-20x=0 | | 3x-17y=-19 | | 4(x-1)+5(x+4)=3x+46 | | 15x+13x=-84 | | 3a-9=41 | | 37+11x=68 | | [3x-5(6x+y)]= | | a+2b=90 | | 37+11x=68+4x | | -23-3(x+3)=5x | | 4y^5+12y^4-40y^3=0 | | 1200-45h=1800+60h | | 12x-105=63+5x | | sqrt(30-x^3)-sqrt(14-x^3)=8 | | 1200+45h=1800-60h | | Mt+4y=3t | | 6-7x=7x-10x-14 | | Mf+4y=3t |