If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4.9t2 + -40t + 10 = 0 Reorder the terms: 10 + -40t + 4.9t2 = 0 Solving 10 + -40t + 4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 2.040816327 + -8.163265306t + t2 = 0 Move the constant term to the right: Add '-2.040816327' to each side of the equation. 2.040816327 + -8.163265306t + -2.040816327 + t2 = 0 + -2.040816327 Reorder the terms: 2.040816327 + -2.040816327 + -8.163265306t + t2 = 0 + -2.040816327 Combine like terms: 2.040816327 + -2.040816327 = 0.000000000 0.000000000 + -8.163265306t + t2 = 0 + -2.040816327 -8.163265306t + t2 = 0 + -2.040816327 Combine like terms: 0 + -2.040816327 = -2.040816327 -8.163265306t + t2 = -2.040816327 The t term is -8.163265306t. Take half its coefficient (-4.081632653). Square it (16.65972511) and add it to both sides. Add '16.65972511' to each side of the equation. -8.163265306t + 16.65972511 + t2 = -2.040816327 + 16.65972511 Reorder the terms: 16.65972511 + -8.163265306t + t2 = -2.040816327 + 16.65972511 Combine like terms: -2.040816327 + 16.65972511 = 14.618908783 16.65972511 + -8.163265306t + t2 = 14.618908783 Factor a perfect square on the left side: (t + -4.081632653)(t + -4.081632653) = 14.618908783 Calculate the square root of the right side: 3.823468162 Break this problem into two subproblems by setting (t + -4.081632653) equal to 3.823468162 and -3.823468162.Subproblem 1
t + -4.081632653 = 3.823468162 Simplifying t + -4.081632653 = 3.823468162 Reorder the terms: -4.081632653 + t = 3.823468162 Solving -4.081632653 + t = 3.823468162 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.081632653' to each side of the equation. -4.081632653 + 4.081632653 + t = 3.823468162 + 4.081632653 Combine like terms: -4.081632653 + 4.081632653 = 0.000000000 0.000000000 + t = 3.823468162 + 4.081632653 t = 3.823468162 + 4.081632653 Combine like terms: 3.823468162 + 4.081632653 = 7.905100815 t = 7.905100815 Simplifying t = 7.905100815Subproblem 2
t + -4.081632653 = -3.823468162 Simplifying t + -4.081632653 = -3.823468162 Reorder the terms: -4.081632653 + t = -3.823468162 Solving -4.081632653 + t = -3.823468162 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.081632653' to each side of the equation. -4.081632653 + 4.081632653 + t = -3.823468162 + 4.081632653 Combine like terms: -4.081632653 + 4.081632653 = 0.000000000 0.000000000 + t = -3.823468162 + 4.081632653 t = -3.823468162 + 4.081632653 Combine like terms: -3.823468162 + 4.081632653 = 0.258164491 t = 0.258164491 Simplifying t = 0.258164491Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.905100815, 0.258164491}
| 5n+zr=r-9h | | 50+2c=4.2 | | 10.00s+2.50=52.50 | | 13.95c+1.95=85.65 | | 9x+5y=-143 | | 3m+zr=r-5g | | 13=3x+-4 | | X^2+4y^2+2x+32y+61=0 | | kx-y+5=0 | | -2(4r-3)+5=-5 | | -10n+20=(-100) | | 5b=6-7b | | x+118=180 | | x^3+3x^2=25 | | (x+8)x^2=4 | | 10[(4-y)+7y]=28 | | 3x-4=15-5x | | 3+10p=-9 | | 3+10p=9 | | 6(5+2x)=-4(3-x) | | 2d-16-5=4d+10 | | 4(3x+x)+7-5x=8+(-5)(5x+6x)+23 | | x+10y+z+1=0 | | 9600-400X+3X^2=0 | | 4t+40=4+40 | | 2x+1.3=4.3 | | 40x-16=320+40x | | 3+4x=12x-42 | | 24=4s-4 | | -1.26d=10.08 | | x^2+3=x^2+y^2+9 | | 4c^2-21=25c |