If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3 = 21t + -4.9t2 Solving 3 = 21t + -4.9t2 Solving for variable 't'. Reorder the terms: 3 + -21t + 4.9t2 = 21t + -21t + -4.9t2 + 4.9t2 Combine like terms: 21t + -21t = 0 3 + -21t + 4.9t2 = 0 + -4.9t2 + 4.9t2 3 + -21t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 3 + -21t + 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'. 0.612244898 + -4.285714286t + t2 = 0 Move the constant term to the right: Add '-0.612244898' to each side of the equation. 0.612244898 + -4.285714286t + -0.612244898 + t2 = 0 + -0.612244898 Reorder the terms: 0.612244898 + -0.612244898 + -4.285714286t + t2 = 0 + -0.612244898 Combine like terms: 0.612244898 + -0.612244898 = 0.000000000 0.000000000 + -4.285714286t + t2 = 0 + -0.612244898 -4.285714286t + t2 = 0 + -0.612244898 Combine like terms: 0 + -0.612244898 = -0.612244898 -4.285714286t + t2 = -0.612244898 The t term is -4.285714286t. Take half its coefficient (-2.142857143). Square it (4.591836735) and add it to both sides. Add '4.591836735' to each side of the equation. -4.285714286t + 4.591836735 + t2 = -0.612244898 + 4.591836735 Reorder the terms: 4.591836735 + -4.285714286t + t2 = -0.612244898 + 4.591836735 Combine like terms: -0.612244898 + 4.591836735 = 3.979591837 4.591836735 + -4.285714286t + t2 = 3.979591837 Factor a perfect square on the left side: (t + -2.142857143)(t + -2.142857143) = 3.979591837 Calculate the square root of the right side: 1.994891435 Break this problem into two subproblems by setting (t + -2.142857143) equal to 1.994891435 and -1.994891435.Subproblem 1
t + -2.142857143 = 1.994891435 Simplifying t + -2.142857143 = 1.994891435 Reorder the terms: -2.142857143 + t = 1.994891435 Solving -2.142857143 + t = 1.994891435 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.142857143' to each side of the equation. -2.142857143 + 2.142857143 + t = 1.994891435 + 2.142857143 Combine like terms: -2.142857143 + 2.142857143 = 0.000000000 0.000000000 + t = 1.994891435 + 2.142857143 t = 1.994891435 + 2.142857143 Combine like terms: 1.994891435 + 2.142857143 = 4.137748578 t = 4.137748578 Simplifying t = 4.137748578Subproblem 2
t + -2.142857143 = -1.994891435 Simplifying t + -2.142857143 = -1.994891435 Reorder the terms: -2.142857143 + t = -1.994891435 Solving -2.142857143 + t = -1.994891435 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.142857143' to each side of the equation. -2.142857143 + 2.142857143 + t = -1.994891435 + 2.142857143 Combine like terms: -2.142857143 + 2.142857143 = 0.000000000 0.000000000 + t = -1.994891435 + 2.142857143 t = -1.994891435 + 2.142857143 Combine like terms: -1.994891435 + 2.142857143 = 0.147965708 t = 0.147965708 Simplifying t = 0.147965708Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.137748578, 0.147965708}
| 5.7y=68.4 | | -3x+13=-4 | | s=21t-4.9t^2 | | 3z+12=0 | | 7b-6=1 | | 13+9x=31 | | h(x)=0.012x^2-0.593x+35.725 | | 9*3(6*4/8) | | 1028=16t^2 | | 1098=16t^2 | | 3z+6=12 | | f(x)=x^2-7x+5 | | 5x+1=4x^2 | | 175000.00+550.00x=20 | | (4r-9p)(4r+9p)= | | 7x-3x=23 | | 4x+3=5x^2 | | -20=-5/9y | | (5z+3y)(-5z+3y)= | | 6/8m-1/8m=10 | | 11r-5r+6r=163 | | 7/2x+1/2x=3x+10/2+7/2x | | x+1/5=-1/4 | | 5p-2=-10+p | | 3r*5r=10 | | (3r+8q)(8q-3r)= | | (-5+8p)(5+8p)= | | b^2-3bc-28c^2=0 | | 120=x^2+7x | | 0.8(W-100)=150 | | x(x+2)(x+3)(x+5)=72 | | -14/(-7) |