If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -4.9t2 + 20t + -15 Reorder the terms: 0 = -15 + 20t + -4.9t2 Solving 0 = -15 + 20t + -4.9t2 Solving for variable 't'. Combine like terms: 0 + 15 = 15 15 + -20t + 4.9t2 = -15 + 20t + -4.9t2 + 15 + -20t + 4.9t2 Reorder the terms: 15 + -20t + 4.9t2 = -15 + 15 + 20t + -20t + -4.9t2 + 4.9t2 Combine like terms: -15 + 15 = 0 15 + -20t + 4.9t2 = 0 + 20t + -20t + -4.9t2 + 4.9t2 15 + -20t + 4.9t2 = 20t + -20t + -4.9t2 + 4.9t2 Combine like terms: 20t + -20t = 0 15 + -20t + 4.9t2 = 0 + -4.9t2 + 4.9t2 15 + -20t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 15 + -20t + 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'. 3.06122449 + -4.081632653t + t2 = 0 Move the constant term to the right: Add '-3.06122449' to each side of the equation. 3.06122449 + -4.081632653t + -3.06122449 + t2 = 0 + -3.06122449 Reorder the terms: 3.06122449 + -3.06122449 + -4.081632653t + t2 = 0 + -3.06122449 Combine like terms: 3.06122449 + -3.06122449 = 0.00000000 0.00000000 + -4.081632653t + t2 = 0 + -3.06122449 -4.081632653t + t2 = 0 + -3.06122449 Combine like terms: 0 + -3.06122449 = -3.06122449 -4.081632653t + t2 = -3.06122449 The t term is -4.081632653t. Take half its coefficient (-2.040816327). Square it (4.164931281) and add it to both sides. Add '4.164931281' to each side of the equation. -4.081632653t + 4.164931281 + t2 = -3.06122449 + 4.164931281 Reorder the terms: 4.164931281 + -4.081632653t + t2 = -3.06122449 + 4.164931281 Combine like terms: -3.06122449 + 4.164931281 = 1.103706791 4.164931281 + -4.081632653t + t2 = 1.103706791 Factor a perfect square on the left side: (t + -2.040816327)(t + -2.040816327) = 1.103706791 Calculate the square root of the right side: 1.050574505 Break this problem into two subproblems by setting (t + -2.040816327) equal to 1.050574505 and -1.050574505.Subproblem 1
t + -2.040816327 = 1.050574505 Simplifying t + -2.040816327 = 1.050574505 Reorder the terms: -2.040816327 + t = 1.050574505 Solving -2.040816327 + t = 1.050574505 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.040816327' to each side of the equation. -2.040816327 + 2.040816327 + t = 1.050574505 + 2.040816327 Combine like terms: -2.040816327 + 2.040816327 = 0.000000000 0.000000000 + t = 1.050574505 + 2.040816327 t = 1.050574505 + 2.040816327 Combine like terms: 1.050574505 + 2.040816327 = 3.091390832 t = 3.091390832 Simplifying t = 3.091390832Subproblem 2
t + -2.040816327 = -1.050574505 Simplifying t + -2.040816327 = -1.050574505 Reorder the terms: -2.040816327 + t = -1.050574505 Solving -2.040816327 + t = -1.050574505 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.040816327' to each side of the equation. -2.040816327 + 2.040816327 + t = -1.050574505 + 2.040816327 Combine like terms: -2.040816327 + 2.040816327 = 0.000000000 0.000000000 + t = -1.050574505 + 2.040816327 t = -1.050574505 + 2.040816327 Combine like terms: -1.050574505 + 2.040816327 = 0.990241822 t = 0.990241822 Simplifying t = 0.990241822Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.091390832, 0.990241822}
| 8x-15=-34 | | 5(6m+7)=35-2m | | 25=7+3k-11 | | a-2+13+8a= | | 10.3-6x+0.23(x-2)= | | 14x+3=19x-7 | | x-5.75=-7y | | 506/1000= | | -16(-7x+9)-11x-3=14(-7x+2)-6x+13 | | N^2+-2n-3=0 | | 14=9-m | | 8x-3(3-(7-2x))= | | 64w^2-9t^2=0 | | 5x+9=69+x | | T=5s+3.81 | | 4x=5x-8 | | 11/8x=1/16 | | (6+2i)/(3i-10i) | | 4-4(5-(3y-5))= | | -4c+9=41 | | (x-1)/(x+1)=(x+9)/3 | | 42x^3+14x^2= | | -33-n=7(-2n-1) | | 0=30x+45 | | 9r^2+30rp+25p^2=0 | | 6x+34=13x+43 | | 81x^2-126x+49= | | 8x+1=10x+8 | | 18(4x-10)+6x-5=-(16x+2)+3x+12 | | 7x+23y=5 | | 14=x/3+x/6 | | 6+(w+3)+(w+3)=48 |