If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 40 = 9.8t2 + 70t + 1 Reorder the terms: 40 = 1 + 70t + 9.8t2 Solving 40 = 1 + 70t + 9.8t2 Solving for variable 't'. Combine like terms: 40 + -1 = 39 39 + -70t + -9.8t2 = 1 + 70t + 9.8t2 + -1 + -70t + -9.8t2 Reorder the terms: 39 + -70t + -9.8t2 = 1 + -1 + 70t + -70t + 9.8t2 + -9.8t2 Combine like terms: 1 + -1 = 0 39 + -70t + -9.8t2 = 0 + 70t + -70t + 9.8t2 + -9.8t2 39 + -70t + -9.8t2 = 70t + -70t + 9.8t2 + -9.8t2 Combine like terms: 70t + -70t = 0 39 + -70t + -9.8t2 = 0 + 9.8t2 + -9.8t2 39 + -70t + -9.8t2 = 9.8t2 + -9.8t2 Combine like terms: 9.8t2 + -9.8t2 = 0.0 39 + -70t + -9.8t2 = 0.0 Begin completing the square. Divide all terms by -9.8 the coefficient of the squared term: Divide each side by '-9.8'. -3.979591837 + 7.142857143t + t2 = 0 Move the constant term to the right: Add '3.979591837' to each side of the equation. -3.979591837 + 7.142857143t + 3.979591837 + t2 = 0 + 3.979591837 Reorder the terms: -3.979591837 + 3.979591837 + 7.142857143t + t2 = 0 + 3.979591837 Combine like terms: -3.979591837 + 3.979591837 = 0.000000000 0.000000000 + 7.142857143t + t2 = 0 + 3.979591837 7.142857143t + t2 = 0 + 3.979591837 Combine like terms: 0 + 3.979591837 = 3.979591837 7.142857143t + t2 = 3.979591837 The t term is 7.142857143t. Take half its coefficient (3.571428572). Square it (12.75510204) and add it to both sides. Add '12.75510204' to each side of the equation. 7.142857143t + 12.75510204 + t2 = 3.979591837 + 12.75510204 Reorder the terms: 12.75510204 + 7.142857143t + t2 = 3.979591837 + 12.75510204 Combine like terms: 3.979591837 + 12.75510204 = 16.734693877 12.75510204 + 7.142857143t + t2 = 16.734693877 Factor a perfect square on the left side: (t + 3.571428572)(t + 3.571428572) = 16.734693877 Calculate the square root of the right side: 4.090806018 Break this problem into two subproblems by setting (t + 3.571428572) equal to 4.090806018 and -4.090806018.Subproblem 1
t + 3.571428572 = 4.090806018 Simplifying t + 3.571428572 = 4.090806018 Reorder the terms: 3.571428572 + t = 4.090806018 Solving 3.571428572 + t = 4.090806018 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.571428572' to each side of the equation. 3.571428572 + -3.571428572 + t = 4.090806018 + -3.571428572 Combine like terms: 3.571428572 + -3.571428572 = 0.000000000 0.000000000 + t = 4.090806018 + -3.571428572 t = 4.090806018 + -3.571428572 Combine like terms: 4.090806018 + -3.571428572 = 0.519377446 t = 0.519377446 Simplifying t = 0.519377446Subproblem 2
t + 3.571428572 = -4.090806018 Simplifying t + 3.571428572 = -4.090806018 Reorder the terms: 3.571428572 + t = -4.090806018 Solving 3.571428572 + t = -4.090806018 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.571428572' to each side of the equation. 3.571428572 + -3.571428572 + t = -4.090806018 + -3.571428572 Combine like terms: 3.571428572 + -3.571428572 = 0.000000000 0.000000000 + t = -4.090806018 + -3.571428572 t = -4.090806018 + -3.571428572 Combine like terms: -4.090806018 + -3.571428572 = -7.66223459 t = -7.66223459 Simplifying t = -7.66223459Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.519377446, -7.66223459}
| 4x-6y=48 | | -4+4(x-4)=13x+6-9x | | 2b+2=b+17 | | c+149.99=189.19 | | 40=9.8t^2+140t+1 | | 2j=283 | | -7(x+1)-18=22+2 | | 20x-8x+30-16x=180 | | 0.12y+0.05(y+8000)=1250 | | 9v=-30v-25 | | -2+8(x-3)=17x+2-9x | | 0.17y+0.08(y+4000)=1320 | | 20x-8x=30-16x | | 5(2+x)-7= | | 10(v+2)-2v=2(4v+1)-9 | | x-.30x=16.80 | | 6x^3-5x^2-x= | | 9(v+1)-3v=2(3v+1)-6 | | 3j=18 | | 465=137+16.5w | | 2+.2n=3.2 | | 10-6x=12+5x | | (2y+8)(2y+8)= | | 5-2X^2=20 | | -21+12+(-11)+(-2)= | | .5(x+4)=2x-2(3-x)-5 | | 2v^2+18v+36= | | 399=137+16.5w | | x*3-216=0 | | 23+x=5 | | 4(x-7)+10=2(x-6) | | 8(2n-4)=(9n+8)+1 |