If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3 = -16t2 + -40t + 4 Reorder the terms: 3 = 4 + -40t + -16t2 Solving 3 = 4 + -40t + -16t2 Solving for variable 't'. Combine like terms: 3 + -4 = -1 -1 + 40t + 16t2 = 4 + -40t + -16t2 + -4 + 40t + 16t2 Reorder the terms: -1 + 40t + 16t2 = 4 + -4 + -40t + 40t + -16t2 + 16t2 Combine like terms: 4 + -4 = 0 -1 + 40t + 16t2 = 0 + -40t + 40t + -16t2 + 16t2 -1 + 40t + 16t2 = -40t + 40t + -16t2 + 16t2 Combine like terms: -40t + 40t = 0 -1 + 40t + 16t2 = 0 + -16t2 + 16t2 -1 + 40t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -1 + 40t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.0625 + 2.5t + t2 = 0 Move the constant term to the right: Add '0.0625' to each side of the equation. -0.0625 + 2.5t + 0.0625 + t2 = 0 + 0.0625 Reorder the terms: -0.0625 + 0.0625 + 2.5t + t2 = 0 + 0.0625 Combine like terms: -0.0625 + 0.0625 = 0.0000 0.0000 + 2.5t + t2 = 0 + 0.0625 2.5t + t2 = 0 + 0.0625 Combine like terms: 0 + 0.0625 = 0.0625 2.5t + t2 = 0.0625 The t term is 2.5t. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5t + 1.5625 + t2 = 0.0625 + 1.5625 Reorder the terms: 1.5625 + 2.5t + t2 = 0.0625 + 1.5625 Combine like terms: 0.0625 + 1.5625 = 1.625 1.5625 + 2.5t + t2 = 1.625 Factor a perfect square on the left side: (t + 1.25)(t + 1.25) = 1.625 Calculate the square root of the right side: 1.274754878 Break this problem into two subproblems by setting (t + 1.25) equal to 1.274754878 and -1.274754878.Subproblem 1
t + 1.25 = 1.274754878 Simplifying t + 1.25 = 1.274754878 Reorder the terms: 1.25 + t = 1.274754878 Solving 1.25 + t = 1.274754878 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + t = 1.274754878 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + t = 1.274754878 + -1.25 t = 1.274754878 + -1.25 Combine like terms: 1.274754878 + -1.25 = 0.024754878 t = 0.024754878 Simplifying t = 0.024754878Subproblem 2
t + 1.25 = -1.274754878 Simplifying t + 1.25 = -1.274754878 Reorder the terms: 1.25 + t = -1.274754878 Solving 1.25 + t = -1.274754878 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + t = -1.274754878 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + t = -1.274754878 + -1.25 t = -1.274754878 + -1.25 Combine like terms: -1.274754878 + -1.25 = -2.524754878 t = -2.524754878 Simplifying t = -2.524754878Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.024754878, -2.524754878}
| y+2=x-2 | | 3a+7+4a+b+11+2b=360 | | 51=7(-1+2y)+2 | | 14m+6= | | X^2+23x+81=5(x+5) | | solveX^2+23x+81=5(x+5) | | 0.3+2x=14.3 | | f=14 | | -7v+6(6v-6)=109 | | 1.35+x=-0.65 | | -98=7(1-3x) | | 11y+5=126 | | 520=8(6+8a)-5a | | 10c+3=43 | | 3(6x+4)=138 | | 0.2x+3=10 | | 8w=6320 | | -93=-5+8(n-3) | | -11+5r-6-r=5r-7+4r | | v(2v+3)= | | X+2+5=4-2x | | 6b=7b+4 | | 4-5z=17 | | 12-4n=-8n-2n | | 7=4n+3n | | -20=7m-8+5m | | 7=x+4-1 | | -10+6x=-70 | | 3p-7=pt | | 3(x-4)+17=8x-5(x-1) | | 4x+14+2(2x+10)=180 | | 5-6x=59 |