If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 84 = 16t2 + 80t + 20 Reorder the terms: 84 = 20 + 80t + 16t2 Solving 84 = 20 + 80t + 16t2 Solving for variable 't'. Combine like terms: 84 + -20 = 64 64 + -80t + -16t2 = 20 + 80t + 16t2 + -20 + -80t + -16t2 Reorder the terms: 64 + -80t + -16t2 = 20 + -20 + 80t + -80t + 16t2 + -16t2 Combine like terms: 20 + -20 = 0 64 + -80t + -16t2 = 0 + 80t + -80t + 16t2 + -16t2 64 + -80t + -16t2 = 80t + -80t + 16t2 + -16t2 Combine like terms: 80t + -80t = 0 64 + -80t + -16t2 = 0 + 16t2 + -16t2 64 + -80t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 64 + -80t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(4 + -5t + -1t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(4 + -5t + -1t2)' equal to zero and attempt to solve: Simplifying 4 + -5t + -1t2 = 0 Solving 4 + -5t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -4 + 5t + t2 = 0 Move the constant term to the right: Add '4' to each side of the equation. -4 + 5t + 4 + t2 = 0 + 4 Reorder the terms: -4 + 4 + 5t + t2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5t + t2 = 0 + 4 5t + t2 = 0 + 4 Combine like terms: 0 + 4 = 4 5t + t2 = 4 The t term is 5t. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5t + 6.25 + t2 = 4 + 6.25 Reorder the terms: 6.25 + 5t + t2 = 4 + 6.25 Combine like terms: 4 + 6.25 = 10.25 6.25 + 5t + t2 = 10.25 Factor a perfect square on the left side: (t + 2.5)(t + 2.5) = 10.25 Calculate the square root of the right side: 3.201562119 Break this problem into two subproblems by setting (t + 2.5) equal to 3.201562119 and -3.201562119.Subproblem 1
t + 2.5 = 3.201562119 Simplifying t + 2.5 = 3.201562119 Reorder the terms: 2.5 + t = 3.201562119 Solving 2.5 + t = 3.201562119 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + t = 3.201562119 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + t = 3.201562119 + -2.5 t = 3.201562119 + -2.5 Combine like terms: 3.201562119 + -2.5 = 0.701562119 t = 0.701562119 Simplifying t = 0.701562119Subproblem 2
t + 2.5 = -3.201562119 Simplifying t + 2.5 = -3.201562119 Reorder the terms: 2.5 + t = -3.201562119 Solving 2.5 + t = -3.201562119 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + t = -3.201562119 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + t = -3.201562119 + -2.5 t = -3.201562119 + -2.5 Combine like terms: -3.201562119 + -2.5 = -5.701562119 t = -5.701562119 Simplifying t = -5.701562119Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.701562119, -5.701562119}Solution
t = {0.701562119, -5.701562119}
| 7g+14-3q=6 | | 84=16t^2+80+20 | | 3x-15+2x+30=90 | | (x-1)2+(x+2)2=0 | | 4x+10+15=5 | | -10=5+5w | | 4x^2-2x+5x=2 | | 2x^2+y^2-1=0 | | x^2+15x=2 | | 5x+7+2x+3=-11 | | 3x^2+36x-4=0 | | -ln(x-1)=0 | | 3y+17=53 | | T*14=56/2 | | 11+2x=-7+3x | | T*14=56 | | 100=5w+10 | | 3x^3-10xy+3y^2+22x+26y+43=0 | | 3/5c+6/5=2c-3+2/5c | | 3/5c+2=2c-3+2/5c | | 3+4x+8-2x=3x-7 | | 4sin^2x+4cosx+1=0 | | 1/10x-5=y | | 2x+y+6y+9-3y= | | -1=3-6n+2n | | X-(1/2)=10y | | 3.0*10x-5+0.0000022= | | -12v=24 | | 3+x+3=3 | | 50=2(a+3) | | 16b=36 | | 5x+1=-19+7x |