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 + 65t + 36 Reorder the terms: 3 = 36 + 65t + -16t2 Solving 3 = 36 + 65t + -16t2 Solving for variable 't'. Combine like terms: 3 + -36 = -33 -33 + -65t + 16t2 = 36 + 65t + -16t2 + -36 + -65t + 16t2 Reorder the terms: -33 + -65t + 16t2 = 36 + -36 + 65t + -65t + -16t2 + 16t2 Combine like terms: 36 + -36 = 0 -33 + -65t + 16t2 = 0 + 65t + -65t + -16t2 + 16t2 -33 + -65t + 16t2 = 65t + -65t + -16t2 + 16t2 Combine like terms: 65t + -65t = 0 -33 + -65t + 16t2 = 0 + -16t2 + 16t2 -33 + -65t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -33 + -65t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -2.0625 + -4.0625t + t2 = 0 Move the constant term to the right: Add '2.0625' to each side of the equation. -2.0625 + -4.0625t + 2.0625 + t2 = 0 + 2.0625 Reorder the terms: -2.0625 + 2.0625 + -4.0625t + t2 = 0 + 2.0625 Combine like terms: -2.0625 + 2.0625 = 0.0000 0.0000 + -4.0625t + t2 = 0 + 2.0625 -4.0625t + t2 = 0 + 2.0625 Combine like terms: 0 + 2.0625 = 2.0625 -4.0625t + t2 = 2.0625 The t term is -4.0625t. Take half its coefficient (-2.03125). Square it (4.125976563) and add it to both sides. Add '4.125976563' to each side of the equation. -4.0625t + 4.125976563 + t2 = 2.0625 + 4.125976563 Reorder the terms: 4.125976563 + -4.0625t + t2 = 2.0625 + 4.125976563 Combine like terms: 2.0625 + 4.125976563 = 6.188476563 4.125976563 + -4.0625t + t2 = 6.188476563 Factor a perfect square on the left side: (t + -2.03125)(t + -2.03125) = 6.188476563 Calculate the square root of the right side: 2.487664882 Break this problem into two subproblems by setting (t + -2.03125) equal to 2.487664882 and -2.487664882.Subproblem 1
t + -2.03125 = 2.487664882 Simplifying t + -2.03125 = 2.487664882 Reorder the terms: -2.03125 + t = 2.487664882 Solving -2.03125 + t = 2.487664882 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.03125' to each side of the equation. -2.03125 + 2.03125 + t = 2.487664882 + 2.03125 Combine like terms: -2.03125 + 2.03125 = 0.00000 0.00000 + t = 2.487664882 + 2.03125 t = 2.487664882 + 2.03125 Combine like terms: 2.487664882 + 2.03125 = 4.518914882 t = 4.518914882 Simplifying t = 4.518914882Subproblem 2
t + -2.03125 = -2.487664882 Simplifying t + -2.03125 = -2.487664882 Reorder the terms: -2.03125 + t = -2.487664882 Solving -2.03125 + t = -2.487664882 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.03125' to each side of the equation. -2.03125 + 2.03125 + t = -2.487664882 + 2.03125 Combine like terms: -2.03125 + 2.03125 = 0.00000 0.00000 + t = -2.487664882 + 2.03125 t = -2.487664882 + 2.03125 Combine like terms: -2.487664882 + 2.03125 = -0.456414882 t = -0.456414882 Simplifying t = -0.456414882Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.518914882, -0.456414882}
| 7+(n-1)4= | | 6(1+3r)=-38-7r | | M-15=23 | | 12+4b+4-b= | | 3x+9y+2x= | | -3(t-7)-(t+9)=5 | | -(5x-5)-5=5-(5x+1) | | -58+8x=-2x+57 | | 5*12xc*10xd*2= | | 250t^2+100t+550=3000 | | 4y-(1-y)=-44 | | 48-n=12 | | 5/8=(1/2)/x | | -7=p/-s-1 | | 3x+4.2=158.7 | | 14-2(4t+3)=0 | | b=.6667(34) | | -8+a=3(a-8) | | 1212.22-1.39y+y=940 | | 6p=72 | | -3(4m+3)+4(6m+1)=42 | | x^2-6x+9-18=0 | | 3x-4y=-83 | | 2x-45=4 | | 100.48=(1/3)(3.14)(r)(6) | | 13+14x=30 | | -2m+-2=10 | | 2ac+ad+6bc+3bd=0 | | -2(3y-3)=3(1-2y)+3 | | 5t+34=-2(1-7t) | | 3x+2.1=84 | | 1/8(x-16) |