If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + -29t + 100 = 0 Reorder the terms: 100 + -29t + -16t2 = 0 Solving 100 + -29t + -16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. -6.25 + 1.8125t + t2 = 0 Move the constant term to the right: Add '6.25' to each side of the equation. -6.25 + 1.8125t + 6.25 + t2 = 0 + 6.25 Reorder the terms: -6.25 + 6.25 + 1.8125t + t2 = 0 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + 1.8125t + t2 = 0 + 6.25 1.8125t + t2 = 0 + 6.25 Combine like terms: 0 + 6.25 = 6.25 1.8125t + t2 = 6.25 The t term is 1.8125t. Take half its coefficient (0.90625). Square it (0.8212890625) and add it to both sides. Add '0.8212890625' to each side of the equation. 1.8125t + 0.8212890625 + t2 = 6.25 + 0.8212890625 Reorder the terms: 0.8212890625 + 1.8125t + t2 = 6.25 + 0.8212890625 Combine like terms: 6.25 + 0.8212890625 = 7.0712890625 0.8212890625 + 1.8125t + t2 = 7.0712890625 Factor a perfect square on the left side: (t + 0.90625)(t + 0.90625) = 7.0712890625 Calculate the square root of the right side: 2.65918955 Break this problem into two subproblems by setting (t + 0.90625) equal to 2.65918955 and -2.65918955.Subproblem 1
t + 0.90625 = 2.65918955 Simplifying t + 0.90625 = 2.65918955 Reorder the terms: 0.90625 + t = 2.65918955 Solving 0.90625 + t = 2.65918955 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.90625' to each side of the equation. 0.90625 + -0.90625 + t = 2.65918955 + -0.90625 Combine like terms: 0.90625 + -0.90625 = 0.00000 0.00000 + t = 2.65918955 + -0.90625 t = 2.65918955 + -0.90625 Combine like terms: 2.65918955 + -0.90625 = 1.75293955 t = 1.75293955 Simplifying t = 1.75293955Subproblem 2
t + 0.90625 = -2.65918955 Simplifying t + 0.90625 = -2.65918955 Reorder the terms: 0.90625 + t = -2.65918955 Solving 0.90625 + t = -2.65918955 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.90625' to each side of the equation. 0.90625 + -0.90625 + t = -2.65918955 + -0.90625 Combine like terms: 0.90625 + -0.90625 = 0.00000 0.00000 + t = -2.65918955 + -0.90625 t = -2.65918955 + -0.90625 Combine like terms: -2.65918955 + -0.90625 = -3.56543955 t = -3.56543955 Simplifying t = -3.56543955Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.75293955, -3.56543955}
| -16t^2-29t+100=h | | Y^3-13y+36=0 | | 1+5r=4r+9 | | 8x=-6x+11 | | 6+0.5x=0.5 | | 4(x-5)=29-3x | | 3x-1=107-9x | | 8p-4d-6d-8=32 | | (2x-5)(-x-1)=(-x-1)(x+8) | | 12(y+1)=24 | | 8(x-1)=8x+4-2x | | 5(m-12)=540 | | 5(y-2)=-5 | | 3x^4+6x^2=15x^3 | | 4(7+2)=24 | | 12+6-8x=-24 | | 9(y-1)=27 | | y=1/6-1/2 | | 2.88+0.21x=0.27(x+16) | | 7(y+4)=35 | | y^4+2y^3-y^2-16y+3=0 | | 2x+3y+3z=13 | | 2(3y+5)=28 | | k=1.2 | | f(x)=2k^2-4k(x)+1 | | z^4+2z^2-35=0 | | X+y-6z=-23.5 | | 7x+4=x+20 | | M=n+p | | 5x+8y+7=0 | | 0.25x+0.05(150-x)=26.70 | | 4=3(x+8)-7x |