If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 59 + 13.5t + -4.9t2 Solving 0 = 59 + 13.5t + -4.9t2 Solving for variable 't'. Combine like terms: 0 + -59 = -59 -59 + -13.5t + 4.9t2 = 59 + 13.5t + -4.9t2 + -59 + -13.5t + 4.9t2 Reorder the terms: -59 + -13.5t + 4.9t2 = 59 + -59 + 13.5t + -13.5t + -4.9t2 + 4.9t2 Combine like terms: 59 + -59 = 0 -59 + -13.5t + 4.9t2 = 0 + 13.5t + -13.5t + -4.9t2 + 4.9t2 -59 + -13.5t + 4.9t2 = 13.5t + -13.5t + -4.9t2 + 4.9t2 Combine like terms: 13.5t + -13.5t = 0.0 -59 + -13.5t + 4.9t2 = 0.0 + -4.9t2 + 4.9t2 -59 + -13.5t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 -59 + -13.5t + 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'. -12.04081633 + -2.755102041t + t2 = 0 Move the constant term to the right: Add '12.04081633' to each side of the equation. -12.04081633 + -2.755102041t + 12.04081633 + t2 = 0 + 12.04081633 Reorder the terms: -12.04081633 + 12.04081633 + -2.755102041t + t2 = 0 + 12.04081633 Combine like terms: -12.04081633 + 12.04081633 = 0.00000000 0.00000000 + -2.755102041t + t2 = 0 + 12.04081633 -2.755102041t + t2 = 0 + 12.04081633 Combine like terms: 0 + 12.04081633 = 12.04081633 -2.755102041t + t2 = 12.04081633 The t term is -2.755102041t. Take half its coefficient (-1.377551021). Square it (1.897646815) and add it to both sides. Add '1.897646815' to each side of the equation. -2.755102041t + 1.897646815 + t2 = 12.04081633 + 1.897646815 Reorder the terms: 1.897646815 + -2.755102041t + t2 = 12.04081633 + 1.897646815 Combine like terms: 12.04081633 + 1.897646815 = 13.938463145 1.897646815 + -2.755102041t + t2 = 13.938463145 Factor a perfect square on the left side: (t + -1.377551021)(t + -1.377551021) = 13.938463145 Calculate the square root of the right side: 3.733425122 Break this problem into two subproblems by setting (t + -1.377551021) equal to 3.733425122 and -3.733425122.Subproblem 1
t + -1.377551021 = 3.733425122 Simplifying t + -1.377551021 = 3.733425122 Reorder the terms: -1.377551021 + t = 3.733425122 Solving -1.377551021 + t = 3.733425122 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.377551021' to each side of the equation. -1.377551021 + 1.377551021 + t = 3.733425122 + 1.377551021 Combine like terms: -1.377551021 + 1.377551021 = 0.000000000 0.000000000 + t = 3.733425122 + 1.377551021 t = 3.733425122 + 1.377551021 Combine like terms: 3.733425122 + 1.377551021 = 5.110976143 t = 5.110976143 Simplifying t = 5.110976143Subproblem 2
t + -1.377551021 = -3.733425122 Simplifying t + -1.377551021 = -3.733425122 Reorder the terms: -1.377551021 + t = -3.733425122 Solving -1.377551021 + t = -3.733425122 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.377551021' to each side of the equation. -1.377551021 + 1.377551021 + t = -3.733425122 + 1.377551021 Combine like terms: -1.377551021 + 1.377551021 = 0.000000000 0.000000000 + t = -3.733425122 + 1.377551021 t = -3.733425122 + 1.377551021 Combine like terms: -3.733425122 + 1.377551021 = -2.355874101 t = -2.355874101 Simplifying t = -2.355874101Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.110976143, -2.355874101}
| 7s-27=18+2s | | 2z-15=13+9z | | 4.7x-13.98=6.7 | | 2.6x-18.82=3.8 | | 2.6-18.82=3.8 | | 8+(2x+1)+(2x+1)=0 | | (x+6)/2=-3 | | y^3-6xy^2+11x^2y-6x^3=0 | | 3.2x-2.7x=0.6 | | 5(x-6)+7x=3(3x-4) | | -4p-5(5-2p)=4(p-3)-13 | | x+sqrtx=20 | | -3+ln(x+1)=0 | | (x-2)/2=x/5+1/2 | | 12x-3y=16 | | 2y-3=6y+25 | | 6(x-7)+4=2(x-7) | | 2f+g=15 | | 2x^2+8=2 | | -2x+2=-2(2x+4) | | 0.4(x-8)=6.8 | | 7(x+10)+x=3(x+4)-5 | | 3z-5-2z=-2-6 | | 0.15-3.9=0.5(x-5)x | | 0.15-3.9=0.5(x-5) | | 3x+15y=300 | | 2x^2+8y=0 | | 2y-15=5y-(y+5) | | (6x*3x-1)-(3x*x-2)=135 | | 2x^2+3=8 | | -4(x+2)+6=6(x+2)+9 | | 2x-6=7x-28 |