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 + 8t + 450 Reorder the terms: 0 = 450 + 8t + -16t2 Solving 0 = 450 + 8t + -16t2 Solving for variable 't'. Combine like terms: 0 + -450 = -450 -450 + -8t + 16t2 = 450 + 8t + -16t2 + -450 + -8t + 16t2 Reorder the terms: -450 + -8t + 16t2 = 450 + -450 + 8t + -8t + -16t2 + 16t2 Combine like terms: 450 + -450 = 0 -450 + -8t + 16t2 = 0 + 8t + -8t + -16t2 + 16t2 -450 + -8t + 16t2 = 8t + -8t + -16t2 + 16t2 Combine like terms: 8t + -8t = 0 -450 + -8t + 16t2 = 0 + -16t2 + 16t2 -450 + -8t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -450 + -8t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-225 + -4t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-225 + -4t + 8t2)' equal to zero and attempt to solve: Simplifying -225 + -4t + 8t2 = 0 Solving -225 + -4t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -28.125 + -0.5t + t2 = 0 Move the constant term to the right: Add '28.125' to each side of the equation. -28.125 + -0.5t + 28.125 + t2 = 0 + 28.125 Reorder the terms: -28.125 + 28.125 + -0.5t + t2 = 0 + 28.125 Combine like terms: -28.125 + 28.125 = 0.000 0.000 + -0.5t + t2 = 0 + 28.125 -0.5t + t2 = 0 + 28.125 Combine like terms: 0 + 28.125 = 28.125 -0.5t + t2 = 28.125 The t term is -0.5t. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5t + 0.0625 + t2 = 28.125 + 0.0625 Reorder the terms: 0.0625 + -0.5t + t2 = 28.125 + 0.0625 Combine like terms: 28.125 + 0.0625 = 28.1875 0.0625 + -0.5t + t2 = 28.1875 Factor a perfect square on the left side: (t + -0.25)(t + -0.25) = 28.1875 Calculate the square root of the right side: 5.309190145 Break this problem into two subproblems by setting (t + -0.25) equal to 5.309190145 and -5.309190145.Subproblem 1
t + -0.25 = 5.309190145 Simplifying t + -0.25 = 5.309190145 Reorder the terms: -0.25 + t = 5.309190145 Solving -0.25 + t = 5.309190145 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + t = 5.309190145 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + t = 5.309190145 + 0.25 t = 5.309190145 + 0.25 Combine like terms: 5.309190145 + 0.25 = 5.559190145 t = 5.559190145 Simplifying t = 5.559190145Subproblem 2
t + -0.25 = -5.309190145 Simplifying t + -0.25 = -5.309190145 Reorder the terms: -0.25 + t = -5.309190145 Solving -0.25 + t = -5.309190145 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + t = -5.309190145 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + t = -5.309190145 + 0.25 t = -5.309190145 + 0.25 Combine like terms: -5.309190145 + 0.25 = -5.059190145 t = -5.059190145 Simplifying t = -5.059190145Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.559190145, -5.059190145}Solution
t = {5.559190145, -5.059190145}
| 3x^2-19x+30=0 | | 6n+4=8n-2+n | | 0.4(5x+15)=2.2-(x+3) | | 2.36*9= | | -3.1x-2=45.6-1.4 | | 6x+8=9x+7 | | 3x-9=-3(3-x) | | x^2-18x+40=0 | | 15(t-3)+6t=7(3t+2)-11 | | -2(4y+8)= | | 6+3r-5=7r+4-3r | | e=(2+.5y)+2 | | -9x-2=-7-2.2 | | 6[2-(2x-5)]=2(6-3x) | | 0.2x-6=3 | | 3(8-6n)=40 | | 9+2n-6=9n+8-6n | | (3w+5)(w+3)=7 | | 7(x+4)=7(x+7) | | x^3-69x+180=0 | | 6x*4=3*2x+10 | | 3-8b=4b-3 | | 12(x-1)=-6(2-x)+6x | | (4c-2)(5c-4)= | | x^2-8x+16+y^2-2y+1=10 | | 5c-15=10 | | r^2-20r+42=0 | | 5(5x-10)=25(x-2) | | (5a^4b+a^3b^2)+(6a^3b^2-5a^4b)= | | T+t+3=23 | | 8n^2+8n-50=-2 | | 0.3(x+90)+1.1=76 |