If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 75 + 15.5t + -4.9t2 Solving 0 = 75 + 15.5t + -4.9t2 Solving for variable 't'. Combine like terms: 0 + -75 = -75 -75 + -15.5t + 4.9t2 = 75 + 15.5t + -4.9t2 + -75 + -15.5t + 4.9t2 Reorder the terms: -75 + -15.5t + 4.9t2 = 75 + -75 + 15.5t + -15.5t + -4.9t2 + 4.9t2 Combine like terms: 75 + -75 = 0 -75 + -15.5t + 4.9t2 = 0 + 15.5t + -15.5t + -4.9t2 + 4.9t2 -75 + -15.5t + 4.9t2 = 15.5t + -15.5t + -4.9t2 + 4.9t2 Combine like terms: 15.5t + -15.5t = 0.0 -75 + -15.5t + 4.9t2 = 0.0 + -4.9t2 + 4.9t2 -75 + -15.5t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 -75 + -15.5t + 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'. -15.30612245 + -3.163265306t + t2 = 0 Move the constant term to the right: Add '15.30612245' to each side of the equation. -15.30612245 + -3.163265306t + 15.30612245 + t2 = 0 + 15.30612245 Reorder the terms: -15.30612245 + 15.30612245 + -3.163265306t + t2 = 0 + 15.30612245 Combine like terms: -15.30612245 + 15.30612245 = 0.00000000 0.00000000 + -3.163265306t + t2 = 0 + 15.30612245 -3.163265306t + t2 = 0 + 15.30612245 Combine like terms: 0 + 15.30612245 = 15.30612245 -3.163265306t + t2 = 15.30612245 The t term is -3.163265306t. Take half its coefficient (-1.581632653). Square it (2.501561849) and add it to both sides. Add '2.501561849' to each side of the equation. -3.163265306t + 2.501561849 + t2 = 15.30612245 + 2.501561849 Reorder the terms: 2.501561849 + -3.163265306t + t2 = 15.30612245 + 2.501561849 Combine like terms: 15.30612245 + 2.501561849 = 17.807684299 2.501561849 + -3.163265306t + t2 = 17.807684299 Factor a perfect square on the left side: (t + -1.581632653)(t + -1.581632653) = 17.807684299 Calculate the square root of the right side: 4.2199152 Break this problem into two subproblems by setting (t + -1.581632653) equal to 4.2199152 and -4.2199152.Subproblem 1
t + -1.581632653 = 4.2199152 Simplifying t + -1.581632653 = 4.2199152 Reorder the terms: -1.581632653 + t = 4.2199152 Solving -1.581632653 + t = 4.2199152 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.581632653' to each side of the equation. -1.581632653 + 1.581632653 + t = 4.2199152 + 1.581632653 Combine like terms: -1.581632653 + 1.581632653 = 0.000000000 0.000000000 + t = 4.2199152 + 1.581632653 t = 4.2199152 + 1.581632653 Combine like terms: 4.2199152 + 1.581632653 = 5.801547853 t = 5.801547853 Simplifying t = 5.801547853Subproblem 2
t + -1.581632653 = -4.2199152 Simplifying t + -1.581632653 = -4.2199152 Reorder the terms: -1.581632653 + t = -4.2199152 Solving -1.581632653 + t = -4.2199152 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.581632653' to each side of the equation. -1.581632653 + 1.581632653 + t = -4.2199152 + 1.581632653 Combine like terms: -1.581632653 + 1.581632653 = 0.000000000 0.000000000 + t = -4.2199152 + 1.581632653 t = -4.2199152 + 1.581632653 Combine like terms: -4.2199152 + 1.581632653 = -2.638282547 t = -2.638282547 Simplifying t = -2.638282547Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.801547853, -2.638282547}
| 4x+9=-2x | | 2x-(5-1)=13+2x | | 2x+3+(4-7x)=17 | | 8.75(30)+11x=400 | | 1x+6x-13=36 | | 27-13n=-3 | | 2x+4=-28 | | 9-4(-a+9)+3(7+2a)= | | 16x+9=9y-2 | | -11=2q+4 | | (2+2w)4+9(w+3)=x | | 2q^2+5q+3= | | 6x-2(2)=12 | | 2a+5=119 | | 110=-9q | | 10+10+x=6x+26 | | 2x+6=3x-30 | | 3x+5(x+17)=157 | | 20=58+p | | 2(3(5+2)-1)=x | | 7a-8a-10=2a+6+a | | 18=3k-6 | | P=26+6x | | -5(t-5)+7t=6t-7 | | 11x^2+21x-2=0 | | 7x-4=7(x-7) | | 6x+4(x-16)=6 | | 4p+13p-p=-150 | | 4(-x-7)+8(x+9)=12 | | 7x+3(2x+16)=139 | | 25x+40=180(n-2) | | 16x+2y= |