If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 25 = 65t + -5t2 Solving 25 = 65t + -5t2 Solving for variable 't'. Reorder the terms: 25 + -65t + 5t2 = 65t + -65t + -5t2 + 5t2 Combine like terms: 65t + -65t = 0 25 + -65t + 5t2 = 0 + -5t2 + 5t2 25 + -65t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 25 + -65t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(5 + -13t + t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + -13t + t2)' equal to zero and attempt to solve: Simplifying 5 + -13t + t2 = 0 Solving 5 + -13t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -13t + -5 + t2 = 0 + -5 Reorder the terms: 5 + -5 + -13t + t2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -13t + t2 = 0 + -5 -13t + t2 = 0 + -5 Combine like terms: 0 + -5 = -5 -13t + t2 = -5 The t term is -13t. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13t + 42.25 + t2 = -5 + 42.25 Reorder the terms: 42.25 + -13t + t2 = -5 + 42.25 Combine like terms: -5 + 42.25 = 37.25 42.25 + -13t + t2 = 37.25 Factor a perfect square on the left side: (t + -6.5)(t + -6.5) = 37.25 Calculate the square root of the right side: 6.103277808 Break this problem into two subproblems by setting (t + -6.5) equal to 6.103277808 and -6.103277808.Subproblem 1
t + -6.5 = 6.103277808 Simplifying t + -6.5 = 6.103277808 Reorder the terms: -6.5 + t = 6.103277808 Solving -6.5 + t = 6.103277808 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + t = 6.103277808 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + t = 6.103277808 + 6.5 t = 6.103277808 + 6.5 Combine like terms: 6.103277808 + 6.5 = 12.603277808 t = 12.603277808 Simplifying t = 12.603277808Subproblem 2
t + -6.5 = -6.103277808 Simplifying t + -6.5 = -6.103277808 Reorder the terms: -6.5 + t = -6.103277808 Solving -6.5 + t = -6.103277808 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + t = -6.103277808 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + t = -6.103277808 + 6.5 t = -6.103277808 + 6.5 Combine like terms: -6.103277808 + 6.5 = 0.396722192 t = 0.396722192 Simplifying t = 0.396722192Solution
The solution to the problem is based on the solutions from the subproblems. t = {12.603277808, 0.396722192}Solution
t = {12.603277808, 0.396722192}
| 5/3(t-1)=4/5(2t+1)+2/3 | | 7-3+8=27 | | X-1/12=6/12 | | 6x+20=4x+8 | | Y/0.23=12 | | 4+37t-16t^2=24 | | -3n+6=1.5 | | 5m+3k=18 | | 4+37t-16t^2=0 | | 4-2=-10 | | 47x=-15 | | 2(3t-2)=12-2t | | Abs(2x)=abs(x-3) | | 79-6t-5t^2=0 | | -28=6n-7n | | (7x+7)(7x+7)=9 | | 2x-8x+6=x-5+11 | | 2x^2-16x+9=0 | | 8(x^3)/6(x^7) | | x-2-3=5 | | 12z+12=16z+12 | | X^2(x+8)=x+8 | | 8x^2+1-3x=0 | | (2/3x)=(90) | | 9-11-5=37 | | 1-8+1= | | 0=79-6t-5t^2 | | 5-3(-4)=x+9 | | 10x+4+4-3x-2=3x-9-x+15 | | (8/x-4)=(2/x+2) | | n-(-2)=15 | | 7212=6x |