If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -16t2 + 20t + 40 Reorder the terms: 0 = 40 + 20t + -16t2 Solving 0 = 40 + 20t + -16t2 Solving for variable 't'. Combine like terms: 0 + -40 = -40 -40 + -20t + 16t2 = 40 + 20t + -16t2 + -40 + -20t + 16t2 Reorder the terms: -40 + -20t + 16t2 = 40 + -40 + 20t + -20t + -16t2 + 16t2 Combine like terms: 40 + -40 = 0 -40 + -20t + 16t2 = 0 + 20t + -20t + -16t2 + 16t2 -40 + -20t + 16t2 = 20t + -20t + -16t2 + 16t2 Combine like terms: 20t + -20t = 0 -40 + -20t + 16t2 = 0 + -16t2 + 16t2 -40 + -20t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -40 + -20t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-10 + -5t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-10 + -5t + 4t2)' equal to zero and attempt to solve: Simplifying -10 + -5t + 4t2 = 0 Solving -10 + -5t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -2.5 + -1.25t + t2 = 0 Move the constant term to the right: Add '2.5' to each side of the equation. -2.5 + -1.25t + 2.5 + t2 = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + -1.25t + t2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -1.25t + t2 = 0 + 2.5 -1.25t + t2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 -1.25t + t2 = 2.5 The t term is -1.25t. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25t + 0.390625 + t2 = 2.5 + 0.390625 Reorder the terms: 0.390625 + -1.25t + t2 = 2.5 + 0.390625 Combine like terms: 2.5 + 0.390625 = 2.890625 0.390625 + -1.25t + t2 = 2.890625 Factor a perfect square on the left side: (t + -0.625)(t + -0.625) = 2.890625 Calculate the square root of the right side: 1.700183814 Break this problem into two subproblems by setting (t + -0.625) equal to 1.700183814 and -1.700183814.Subproblem 1
t + -0.625 = 1.700183814 Simplifying t + -0.625 = 1.700183814 Reorder the terms: -0.625 + t = 1.700183814 Solving -0.625 + t = 1.700183814 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + t = 1.700183814 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + t = 1.700183814 + 0.625 t = 1.700183814 + 0.625 Combine like terms: 1.700183814 + 0.625 = 2.325183814 t = 2.325183814 Simplifying t = 2.325183814Subproblem 2
t + -0.625 = -1.700183814 Simplifying t + -0.625 = -1.700183814 Reorder the terms: -0.625 + t = -1.700183814 Solving -0.625 + t = -1.700183814 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + t = -1.700183814 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + t = -1.700183814 + 0.625 t = -1.700183814 + 0.625 Combine like terms: -1.700183814 + 0.625 = -1.075183814 t = -1.075183814 Simplifying t = -1.075183814Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.325183814, -1.075183814}Solution
t = {2.325183814, -1.075183814}
| -4w-4= | | 99-4s-6s=-9 | | 9=b | | y=xcos(x) | | 2+2=8b | | 2x-5(x-5)=-4+3x+17 | | =2(x+y)+9x+6y | | 42=3(2-6h) | | z+8(z-4)=-4 | | 2x^2-9x-12=0 | | 77-7x=11x+19 | | 6x=24+3x | | B=58b | | 3(m+5)=39 | | S=6-3 | | c-80=36 | | X=38-(-x) | | 3(x+4)-(x+5)=x+4 | | =7+4(x+5) | | f=6q-4 | | -23b=35b | | .23x+.45=8-.32x | | 3x+-7+2x=9 | | 3x-8=5x+3 | | 18x^2-25x=-8 | | 0=-16t^2+60 | | (24)5= | | =7x+4(x+5) | | 4(x-6)+4=6x-8 | | 2r^2+18r+33=0 | | 2x+8=63 | | log(5x+70)=2 |