If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 19.5 = -8t2 + 32t Reorder the terms: 19.5 = 32t + -8t2 Solving 19.5 = 32t + -8t2 Solving for variable 't'. Reorder the terms: 19.5 + -32t + 8t2 = 32t + -32t + -8t2 + 8t2 Combine like terms: 32t + -32t = 0 19.5 + -32t + 8t2 = 0 + -8t2 + 8t2 19.5 + -32t + 8t2 = -8t2 + 8t2 Combine like terms: -8t2 + 8t2 = 0 19.5 + -32t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2.4375 + -4t + t2 = 0 Move the constant term to the right: Add '-2.4375' to each side of the equation. 2.4375 + -4t + -2.4375 + t2 = 0 + -2.4375 Reorder the terms: 2.4375 + -2.4375 + -4t + t2 = 0 + -2.4375 Combine like terms: 2.4375 + -2.4375 = 0.0000 0.0000 + -4t + t2 = 0 + -2.4375 -4t + t2 = 0 + -2.4375 Combine like terms: 0 + -2.4375 = -2.4375 -4t + t2 = -2.4375 The t term is -4t. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4t + 4 + t2 = -2.4375 + 4 Reorder the terms: 4 + -4t + t2 = -2.4375 + 4 Combine like terms: -2.4375 + 4 = 1.5625 4 + -4t + t2 = 1.5625 Factor a perfect square on the left side: (t + -2)(t + -2) = 1.5625 Calculate the square root of the right side: 1.25 Break this problem into two subproblems by setting (t + -2) equal to 1.25 and -1.25.Subproblem 1
t + -2 = 1.25 Simplifying t + -2 = 1.25 Reorder the terms: -2 + t = 1.25 Solving -2 + t = 1.25 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 1.25 + 2 Combine like terms: -2 + 2 = 0 0 + t = 1.25 + 2 t = 1.25 + 2 Combine like terms: 1.25 + 2 = 3.25 t = 3.25 Simplifying t = 3.25Subproblem 2
t + -2 = -1.25 Simplifying t + -2 = -1.25 Reorder the terms: -2 + t = -1.25 Solving -2 + t = -1.25 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = -1.25 + 2 Combine like terms: -2 + 2 = 0 0 + t = -1.25 + 2 t = -1.25 + 2 Combine like terms: -1.25 + 2 = 0.75 t = 0.75 Simplifying t = 0.75Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.25, 0.75}
| 87.5=h^2+5H | | 1+2+6=-9+8n+4 | | 7x+6-2x+1=-9 | | y^2+4y=24x^2 | | 88=(.5)(H+5)(H) | | x+x+0.6=2x+2x+x+0.1 | | e^5x-e=0 | | 8x=9x+2 | | Y=.60x+30 | | 3sin^3(2x)-2cosx=0 | | 0=x^3-6x^2+9x+7 | | p(q)=q(95-5q) | | 8967=e^4x | | -44-2x=9x+24 | | 25x+1+26=20x+10 | | 5+2f=-8 | | n/3+20=72 | | Log(x+9)13=1 | | 3/9a=9a/3 | | (9x+50)=(3x^2+10) | | 4c=4c-2 | | -4(5-4v)=-20+8v | | 3(x+12)=20 | | 5*t+8*(0.7-t)=6 | | (x-5)(x-5)=2x^2-12x+17 | | 2x^2+11x+4=-11 | | 5q+8q= | | -4(5-4v)=20+8v | | (9x+40)=3x^2 | | t(6+t)=0 | | 4x-17+137=180 | | -8.5+5.5=25.5 |