If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -16t2 + 220t + 60 Reorder the terms: 0 = 60 + 220t + -16t2 Solving 0 = 60 + 220t + -16t2 Solving for variable 't'. Combine like terms: 0 + -60 = -60 -60 + -220t + 16t2 = 60 + 220t + -16t2 + -60 + -220t + 16t2 Reorder the terms: -60 + -220t + 16t2 = 60 + -60 + 220t + -220t + -16t2 + 16t2 Combine like terms: 60 + -60 = 0 -60 + -220t + 16t2 = 0 + 220t + -220t + -16t2 + 16t2 -60 + -220t + 16t2 = 220t + -220t + -16t2 + 16t2 Combine like terms: 220t + -220t = 0 -60 + -220t + 16t2 = 0 + -16t2 + 16t2 -60 + -220t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -60 + -220t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-15 + -55t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-15 + -55t + 4t2)' equal to zero and attempt to solve: Simplifying -15 + -55t + 4t2 = 0 Solving -15 + -55t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -3.75 + -13.75t + t2 = 0 Move the constant term to the right: Add '3.75' to each side of the equation. -3.75 + -13.75t + 3.75 + t2 = 0 + 3.75 Reorder the terms: -3.75 + 3.75 + -13.75t + t2 = 0 + 3.75 Combine like terms: -3.75 + 3.75 = 0.00 0.00 + -13.75t + t2 = 0 + 3.75 -13.75t + t2 = 0 + 3.75 Combine like terms: 0 + 3.75 = 3.75 -13.75t + t2 = 3.75 The t term is -13.75t. Take half its coefficient (-6.875). Square it (47.265625) and add it to both sides. Add '47.265625' to each side of the equation. -13.75t + 47.265625 + t2 = 3.75 + 47.265625 Reorder the terms: 47.265625 + -13.75t + t2 = 3.75 + 47.265625 Combine like terms: 3.75 + 47.265625 = 51.015625 47.265625 + -13.75t + t2 = 51.015625 Factor a perfect square on the left side: (t + -6.875)(t + -6.875) = 51.015625 Calculate the square root of the right side: 7.142522314 Break this problem into two subproblems by setting (t + -6.875) equal to 7.142522314 and -7.142522314.Subproblem 1
t + -6.875 = 7.142522314 Simplifying t + -6.875 = 7.142522314 Reorder the terms: -6.875 + t = 7.142522314 Solving -6.875 + t = 7.142522314 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.875' to each side of the equation. -6.875 + 6.875 + t = 7.142522314 + 6.875 Combine like terms: -6.875 + 6.875 = 0.000 0.000 + t = 7.142522314 + 6.875 t = 7.142522314 + 6.875 Combine like terms: 7.142522314 + 6.875 = 14.017522314 t = 14.017522314 Simplifying t = 14.017522314Subproblem 2
t + -6.875 = -7.142522314 Simplifying t + -6.875 = -7.142522314 Reorder the terms: -6.875 + t = -7.142522314 Solving -6.875 + t = -7.142522314 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.875' to each side of the equation. -6.875 + 6.875 + t = -7.142522314 + 6.875 Combine like terms: -6.875 + 6.875 = 0.000 0.000 + t = -7.142522314 + 6.875 t = -7.142522314 + 6.875 Combine like terms: -7.142522314 + 6.875 = -0.267522314 t = -0.267522314 Simplifying t = -0.267522314Solution
The solution to the problem is based on the solutions from the subproblems. t = {14.017522314, -0.267522314}Solution
t = {14.017522314, -0.267522314}
| 8p+2=7+7p | | 10x=27 | | X+y=117 | | 40x=240 | | 2gk+4=5-h | | 3x-2y+2z=30 | | (3x+5)+5x=37 | | 3(x^3+2)=-9 | | (6x^2+7y-142)(9x+13b)= | | 18=t^2+15 | | 48a^4b+4a^3b^2-4a^2b^3= | | 4(4-6x-9x)+6(9x+6)=16 | | 50-4x=5x+18 | | y^2+2yz-120z^2= | | 8-8x=77-29x | | -60-10x=9x+16 | | 0.714285x-6=0.5 | | 22=4(2x+5)3x | | -12z=19 | | 5d=26 | | 9y-22=-4y-15 | | 13p=4 | | a^3+1000= | | 36y=9 | | 2a^2-7a-14a+14=0 | | 2(1-5x)+4=-8 | | -83-8x=7x+22 | | 6(2x-3)-3(x+5)=2(x-5)-2 | | -3x-10=-11 | | P(-5)=-x^3-4x^2+x-2 | | 2x^2=-30+16x | | -4y=-2x-16 |