If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6.9 = -4.9t2 + 64t Reorder the terms: 6.9 = 64t + -4.9t2 Solving 6.9 = 64t + -4.9t2 Solving for variable 't'. Reorder the terms: 6.9 + -64t + 4.9t2 = 64t + -64t + -4.9t2 + 4.9t2 Combine like terms: 64t + -64t = 0 6.9 + -64t + 4.9t2 = 0 + -4.9t2 + 4.9t2 6.9 + -64t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 6.9 + -64t + 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'. 1.408163265 + -13.06122449t + t2 = 0 Move the constant term to the right: Add '-1.408163265' to each side of the equation. 1.408163265 + -13.06122449t + -1.408163265 + t2 = 0 + -1.408163265 Reorder the terms: 1.408163265 + -1.408163265 + -13.06122449t + t2 = 0 + -1.408163265 Combine like terms: 1.408163265 + -1.408163265 = 0.000000000 0.000000000 + -13.06122449t + t2 = 0 + -1.408163265 -13.06122449t + t2 = 0 + -1.408163265 Combine like terms: 0 + -1.408163265 = -1.408163265 -13.06122449t + t2 = -1.408163265 The t term is -13.06122449t. Take half its coefficient (-6.530612245). Square it (42.64889629) and add it to both sides. Add '42.64889629' to each side of the equation. -13.06122449t + 42.64889629 + t2 = -1.408163265 + 42.64889629 Reorder the terms: 42.64889629 + -13.06122449t + t2 = -1.408163265 + 42.64889629 Combine like terms: -1.408163265 + 42.64889629 = 41.240733025 42.64889629 + -13.06122449t + t2 = 41.240733025 Factor a perfect square on the left side: (t + -6.530612245)(t + -6.530612245) = 41.240733025 Calculate the square root of the right side: 6.421894816 Break this problem into two subproblems by setting (t + -6.530612245) equal to 6.421894816 and -6.421894816.Subproblem 1
t + -6.530612245 = 6.421894816 Simplifying t + -6.530612245 = 6.421894816 Reorder the terms: -6.530612245 + t = 6.421894816 Solving -6.530612245 + t = 6.421894816 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.530612245' to each side of the equation. -6.530612245 + 6.530612245 + t = 6.421894816 + 6.530612245 Combine like terms: -6.530612245 + 6.530612245 = 0.000000000 0.000000000 + t = 6.421894816 + 6.530612245 t = 6.421894816 + 6.530612245 Combine like terms: 6.421894816 + 6.530612245 = 12.952507061 t = 12.952507061 Simplifying t = 12.952507061Subproblem 2
t + -6.530612245 = -6.421894816 Simplifying t + -6.530612245 = -6.421894816 Reorder the terms: -6.530612245 + t = -6.421894816 Solving -6.530612245 + t = -6.421894816 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.530612245' to each side of the equation. -6.530612245 + 6.530612245 + t = -6.421894816 + 6.530612245 Combine like terms: -6.530612245 + 6.530612245 = 0.000000000 0.000000000 + t = -6.421894816 + 6.530612245 t = -6.421894816 + 6.530612245 Combine like terms: -6.421894816 + 6.530612245 = 0.108717429 t = 0.108717429 Simplifying t = 0.108717429Solution
The solution to the problem is based on the solutions from the subproblems. t = {12.952507061, 0.108717429}
| 12-3x=9-2x+6 | | 3(4y+5x)=0 | | Y=2*cos*3*x+4 | | -3-7x=21 | | 12y+15x=0 | | 2-3(x+1)=7x | | 9s+11=56 | | -15+2-3x=97 | | 4n+9n-2=180 | | -29-4=2 | | 34=-4.9t^2+64t | | 2.3+4.2=7.88 | | -5m+4=25 | | 4*38-8=x | | 4/3•3.14•2^3 | | 2x-80=90 | | 3y+3=5y-22 | | 4x-3-2x+6x= | | 72v+16= | | 2x-122=180 | | 5(4x+5)=90 | | 21y=33 | | 17x-42=12x+8 | | 2x-16y+45=0 | | 4+7+3+5+6+5+7+3+n=43 | | sin(x)=cos(56) | | 6y-14=47 | | 2/3x+5/3x=19 | | 14+0.14X=x | | 2x-78=90 | | 10-2=18 | | 4x-(-2x+2)=-6 |