If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 60 = -16t2 + -16t + 480 Reorder the terms: 60 = 480 + -16t + -16t2 Solving 60 = 480 + -16t + -16t2 Solving for variable 't'. Combine like terms: 60 + -480 = -420 -420 + 16t + 16t2 = 480 + -16t + -16t2 + -480 + 16t + 16t2 Reorder the terms: -420 + 16t + 16t2 = 480 + -480 + -16t + 16t + -16t2 + 16t2 Combine like terms: 480 + -480 = 0 -420 + 16t + 16t2 = 0 + -16t + 16t + -16t2 + 16t2 -420 + 16t + 16t2 = -16t + 16t + -16t2 + 16t2 Combine like terms: -16t + 16t = 0 -420 + 16t + 16t2 = 0 + -16t2 + 16t2 -420 + 16t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -420 + 16t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-105 + 4t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-105 + 4t + 4t2)' equal to zero and attempt to solve: Simplifying -105 + 4t + 4t2 = 0 Solving -105 + 4t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -26.25 + t + t2 = 0 Move the constant term to the right: Add '26.25' to each side of the equation. -26.25 + t + 26.25 + t2 = 0 + 26.25 Reorder the terms: -26.25 + 26.25 + t + t2 = 0 + 26.25 Combine like terms: -26.25 + 26.25 = 0.00 0.00 + t + t2 = 0 + 26.25 t + t2 = 0 + 26.25 Combine like terms: 0 + 26.25 = 26.25 t + t2 = 26.25 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + t2 = 26.25 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + t2 = 26.25 + 0.25 Combine like terms: 26.25 + 0.25 = 26.5 1.25 + t2 = 26.5 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = 26.5 Calculate the square root of the right side: 5.14781507 Break this problem into two subproblems by setting (t + 0.5) equal to 5.14781507 and -5.14781507.Subproblem 1
t + 0.5 = 5.14781507 Simplifying t + 0.5 = 5.14781507 Reorder the terms: 0.5 + t = 5.14781507 Solving 0.5 + t = 5.14781507 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = 5.14781507 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = 5.14781507 + -0.5 t = 5.14781507 + -0.5 Combine like terms: 5.14781507 + -0.5 = 4.64781507 t = 4.64781507 Simplifying t = 4.64781507Subproblem 2
t + 0.5 = -5.14781507 Simplifying t + 0.5 = -5.14781507 Reorder the terms: 0.5 + t = -5.14781507 Solving 0.5 + t = -5.14781507 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = -5.14781507 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = -5.14781507 + -0.5 t = -5.14781507 + -0.5 Combine like terms: -5.14781507 + -0.5 = -5.64781507 t = -5.64781507 Simplifying t = -5.64781507Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.64781507, -5.64781507}Solution
t = {4.64781507, -5.64781507}
| -7=2d | | 1-3(x-2)=13 | | 3(x-2(x-5))-1=-3(2x-5) | | 8(3x-5)=20x-40+4x | | 3y+4=2.4 | | -3(r-8t)=k | | f-64=-23 | | 3(2x+10)-6=-3 | | -2n=-5(n-6) | | 7c-2(c-1)=17 | | 8(h-4)-h-(h+7)= | | 20f-4(5f+4)+16= | | 8v-11=7v-6 | | (5y-4)(-7y+2)=0 | | 0=-16t^2-16t+480 | | 3(2x+10)-6=3 | | 9(b-1)-c+3b+c= | | x^2+y^2=62 | | 5(2x+1)=8x-3 | | (-7a-2)(-3a-4)=0 | | x-2/6=9 | | 6m+6-9m=-3(m-2) | | (15+8d)(-5)-24d+d= | | (2x+9)-10=-5 | | b+0.5[8-(2c+a)]= | | 4x^4-3x^2=1 | | 6.4x-3.2=16.0 | | 5a-8=1+6a-9 | | -4=2/5(9-2b) | | W+[7+(-3)]= | | 2(x+1)-5=-(x-6)+(2x+2) | | (2x+9)-10=5 |