If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = 5t + (0.5 * 9.8) * t2 Multiply 0.5 * 9.8 10 = 5t + (4.9) * t2 Solving 10 = 5t + 4.9t2 Solving for variable 't'. Reorder the terms: 10 + -5t + -4.9t2 = 5t + -5t + 4.9t2 + -4.9t2 Combine like terms: 5t + -5t = 0 10 + -5t + -4.9t2 = 0 + 4.9t2 + -4.9t2 10 + -5t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 10 + -5t + -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'. -2.040816327 + 1.020408163t + t2 = 0 Move the constant term to the right: Add '2.040816327' to each side of the equation. -2.040816327 + 1.020408163t + 2.040816327 + t2 = 0 + 2.040816327 Reorder the terms: -2.040816327 + 2.040816327 + 1.020408163t + t2 = 0 + 2.040816327 Combine like terms: -2.040816327 + 2.040816327 = 0.000000000 0.000000000 + 1.020408163t + t2 = 0 + 2.040816327 1.020408163t + t2 = 0 + 2.040816327 Combine like terms: 0 + 2.040816327 = 2.040816327 1.020408163t + t2 = 2.040816327 The t term is 1.020408163t. Take half its coefficient (0.5102040815). Square it (0.2603082048) and add it to both sides. Add '0.2603082048' to each side of the equation. 1.020408163t + 0.2603082048 + t2 = 2.040816327 + 0.2603082048 Reorder the terms: 0.2603082048 + 1.020408163t + t2 = 2.040816327 + 0.2603082048 Combine like terms: 2.040816327 + 0.2603082048 = 2.3011245318 0.2603082048 + 1.020408163t + t2 = 2.3011245318 Factor a perfect square on the left side: (t + 0.5102040815)(t + 0.5102040815) = 2.3011245318 Calculate the square root of the right side: 1.516945791 Break this problem into two subproblems by setting (t + 0.5102040815) equal to 1.516945791 and -1.516945791.Subproblem 1
t + 0.5102040815 = 1.516945791 Simplifying t + 0.5102040815 = 1.516945791 Reorder the terms: 0.5102040815 + t = 1.516945791 Solving 0.5102040815 + t = 1.516945791 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5102040815' to each side of the equation. 0.5102040815 + -0.5102040815 + t = 1.516945791 + -0.5102040815 Combine like terms: 0.5102040815 + -0.5102040815 = 0.0000000000 0.0000000000 + t = 1.516945791 + -0.5102040815 t = 1.516945791 + -0.5102040815 Combine like terms: 1.516945791 + -0.5102040815 = 1.0067417095 t = 1.0067417095 Simplifying t = 1.0067417095Subproblem 2
t + 0.5102040815 = -1.516945791 Simplifying t + 0.5102040815 = -1.516945791 Reorder the terms: 0.5102040815 + t = -1.516945791 Solving 0.5102040815 + t = -1.516945791 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5102040815' to each side of the equation. 0.5102040815 + -0.5102040815 + t = -1.516945791 + -0.5102040815 Combine like terms: 0.5102040815 + -0.5102040815 = 0.0000000000 0.0000000000 + t = -1.516945791 + -0.5102040815 t = -1.516945791 + -0.5102040815 Combine like terms: -1.516945791 + -0.5102040815 = -2.0271498725 t = -2.0271498725 Simplifying t = -2.0271498725Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.0067417095, -2.0271498725}
| x-5-2x=9x+9-12x | | g=f(k-7) | | 7y-x=35 | | -35-5x=7(-5-4x) | | -7(p-6)=-3(p-2) | | 11x-4(-16.25)=32 | | g=(k-7) | | -3+4p-2p=7 | | -6+8x=4+3x | | 5x+1+2x=8x-2 | | 8+7(n+1)=7+8n | | p-4=-q+4 | | 108-108y-12y^2=432-432y-3y^2 | | 12c-4=15c+15 | | -6x+23=-2-7(2x+1) | | 4+5k=4+5k | | 2.3=5.3-0.6x | | 13=-x^2-12 | | -7b+8b=-8 | | 11(-16.25)-4y=32 | | 6.2h+5-1.4h=4.8+h | | P*.4=p-32 | | x+.04x=177 | | -2(4m-5)=-7m+16 | | 2/3o+2=-2 | | 23=-19 | | 11(-4)-4y=32 | | 3c+4= | | x-14x= | | 20+2x+x= | | -4x-5=-5(7+2x) | | p+1473=13828 |