If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5000 = -16t2 + 880t + 40 Reorder the terms: 5000 = 40 + 880t + -16t2 Solving 5000 = 40 + 880t + -16t2 Solving for variable 't'. Combine like terms: 5000 + -40 = 4960 4960 + -880t + 16t2 = 40 + 880t + -16t2 + -40 + -880t + 16t2 Reorder the terms: 4960 + -880t + 16t2 = 40 + -40 + 880t + -880t + -16t2 + 16t2 Combine like terms: 40 + -40 = 0 4960 + -880t + 16t2 = 0 + 880t + -880t + -16t2 + 16t2 4960 + -880t + 16t2 = 880t + -880t + -16t2 + 16t2 Combine like terms: 880t + -880t = 0 4960 + -880t + 16t2 = 0 + -16t2 + 16t2 4960 + -880t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 4960 + -880t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(310 + -55t + t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(310 + -55t + t2)' equal to zero and attempt to solve: Simplifying 310 + -55t + t2 = 0 Solving 310 + -55t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-310' to each side of the equation. 310 + -55t + -310 + t2 = 0 + -310 Reorder the terms: 310 + -310 + -55t + t2 = 0 + -310 Combine like terms: 310 + -310 = 0 0 + -55t + t2 = 0 + -310 -55t + t2 = 0 + -310 Combine like terms: 0 + -310 = -310 -55t + t2 = -310 The t term is -55t. Take half its coefficient (-27.5). Square it (756.25) and add it to both sides. Add '756.25' to each side of the equation. -55t + 756.25 + t2 = -310 + 756.25 Reorder the terms: 756.25 + -55t + t2 = -310 + 756.25 Combine like terms: -310 + 756.25 = 446.25 756.25 + -55t + t2 = 446.25 Factor a perfect square on the left side: (t + -27.5)(t + -27.5) = 446.25 Calculate the square root of the right side: 21.124630174 Break this problem into two subproblems by setting (t + -27.5) equal to 21.124630174 and -21.124630174.Subproblem 1
t + -27.5 = 21.124630174 Simplifying t + -27.5 = 21.124630174 Reorder the terms: -27.5 + t = 21.124630174 Solving -27.5 + t = 21.124630174 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27.5' to each side of the equation. -27.5 + 27.5 + t = 21.124630174 + 27.5 Combine like terms: -27.5 + 27.5 = 0.0 0.0 + t = 21.124630174 + 27.5 t = 21.124630174 + 27.5 Combine like terms: 21.124630174 + 27.5 = 48.624630174 t = 48.624630174 Simplifying t = 48.624630174Subproblem 2
t + -27.5 = -21.124630174 Simplifying t + -27.5 = -21.124630174 Reorder the terms: -27.5 + t = -21.124630174 Solving -27.5 + t = -21.124630174 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27.5' to each side of the equation. -27.5 + 27.5 + t = -21.124630174 + 27.5 Combine like terms: -27.5 + 27.5 = 0.0 0.0 + t = -21.124630174 + 27.5 t = -21.124630174 + 27.5 Combine like terms: -21.124630174 + 27.5 = 6.375369826 t = 6.375369826 Simplifying t = 6.375369826Solution
The solution to the problem is based on the solutions from the subproblems. t = {48.624630174, 6.375369826}Solution
t = {48.624630174, 6.375369826}
| x+24+x+32=180 | | 4y+90=180 | | 3(1+11n)=-3(-8n-12)+9n | | 5x^2-60x+40=0 | | 3x-5(x-2)=-4+2x-18 | | 13x+6=12x+14 | | x+24+x+3=180 | | -249-24x=159 | | 4.9=6.4-0.5x | | -180+8x=-160+6x | | 30=-16t^2+80t+5 | | 7t-90=2t-15 | | (5x+7)(2x+1)=85 | | -76-4x-x=59 | | -80=7x+2(-2x-31) | | 2x+24=576 | | 5y^2+5y-9=0 | | 9y-65=y+39 | | 8x-10=-4+2x-18 | | -2(12m-6)-6m=10(3-3m) | | 4(4x-5)-1=16x-21 | | -11=a-5/5 | | 11-n/5=19 | | 10x-171=18x+101 | | X-(x+8)=72 | | -38+2x+3x=47 | | x+24=x+32 | | -2(3s-4)-8=-3(9s+4)-5 | | -8w^2+8w+3=0 | | 3(1a-2b)+o=2b | | 3x-5x(x-2)=-4+2x-18 | | 3z-1=2z+4 |