If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 55 = 35t + -5t2 Solving 55 = 35t + -5t2 Solving for variable 't'. Reorder the terms: 55 + -35t + 5t2 = 35t + -35t + -5t2 + 5t2 Combine like terms: 35t + -35t = 0 55 + -35t + 5t2 = 0 + -5t2 + 5t2 55 + -35t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 55 + -35t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(11 + -7t + t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(11 + -7t + t2)' equal to zero and attempt to solve: Simplifying 11 + -7t + t2 = 0 Solving 11 + -7t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -7t + -11 + t2 = 0 + -11 Reorder the terms: 11 + -11 + -7t + t2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -7t + t2 = 0 + -11 -7t + t2 = 0 + -11 Combine like terms: 0 + -11 = -11 -7t + t2 = -11 The t term is -7t. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7t + 12.25 + t2 = -11 + 12.25 Reorder the terms: 12.25 + -7t + t2 = -11 + 12.25 Combine like terms: -11 + 12.25 = 1.25 12.25 + -7t + t2 = 1.25 Factor a perfect square on the left side: (t + -3.5)(t + -3.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (t + -3.5) equal to 1.118033989 and -1.118033989.Subproblem 1
t + -3.5 = 1.118033989 Simplifying t + -3.5 = 1.118033989 Reorder the terms: -3.5 + t = 1.118033989 Solving -3.5 + t = 1.118033989 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + t = 1.118033989 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + t = 1.118033989 + 3.5 t = 1.118033989 + 3.5 Combine like terms: 1.118033989 + 3.5 = 4.618033989 t = 4.618033989 Simplifying t = 4.618033989Subproblem 2
t + -3.5 = -1.118033989 Simplifying t + -3.5 = -1.118033989 Reorder the terms: -3.5 + t = -1.118033989 Solving -3.5 + t = -1.118033989 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + t = -1.118033989 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + t = -1.118033989 + 3.5 t = -1.118033989 + 3.5 Combine like terms: -1.118033989 + 3.5 = 2.381966011 t = 2.381966011 Simplifying t = 2.381966011Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.618033989, 2.381966011}Solution
t = {4.618033989, 2.381966011}
| 6x+x-3=6x+2 | | 30+40+F=180 | | 56+4e=17 | | 5+x=-11 | | 9-3x=14-2x | | 3y-6=25y+8 | | 3r-2y=11 | | 4x-3=-6x-3 | | X-13*4=1.7 | | 45+90+P=90 | | 6a^8-3a^8+11a^4+6a^8-14a^4= | | -m+-7m+10m=10 | | -7+5+2x-6=x-5 | | 13x/20*5/6x | | x^6+4x^4-25x^2-100=0 | | x+42=4x-12 | | 2w-6=-18 | | 4z-20=-8z+48 | | x(400+0.5)=y(500+0.4) | | 8p+6p=47-5 | | 4x-x+9=3(x+2)+p | | 7p-1=37 | | 1/6x+7=4/6x-2 | | 7p+3p=24-4 | | 94+11r=6 | | 2x-10=44 | | 4b+4=4 | | -4n+8(6n+-1)= | | 67=-2x+13 | | -6+-5+17= | | 5x+5(x-15)=695 | | 2x-3.2=16.4 |