If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12t3 + 60t2 + -48t = 0 Reorder the terms: -48t + 60t2 + 12t3 = 0 Solving -48t + 60t2 + 12t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '12t'. 12t(-4 + 5t + t2) = 0 Ignore the factor 12.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(-4 + 5t + t2)' equal to zero and attempt to solve: Simplifying -4 + 5t + t2 = 0 Solving -4 + 5t + t2 = 0 Begin completing the square. 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, 0.701562119, -5.701562119}
| 8(x-6)=2x-0 | | 12(x+1)=2x+62 | | x(9x+5)=0 | | 1/y-3+1/4=-7/2y-6 | | 2(2-2x)=-x+2x-6 | | 61.9+p=74 | | 1/y-2+1/10=-4/5y-10 | | 2(-2x)=-x+2x-6 | | 5-(4c/7)=8 | | 5-4c/7=8 | | (10/x)-(10/x-5)=(4/x) | | 3x+1/x-1=6x-13/2x-7 | | 4.35+p=5.4 | | 10/x-10/x-5=4/x | | log(x+2)=log(5x+1) | | t+2/t=-3 | | 4(5y^2+3)=31y | | -1/3x+16/21x=9/21 | | 64x^2+80x+34=0 | | -4/3x+30/6x=11/6 | | 64x^2+80x+25=-9 | | (60/x)-(60/x-6)=(8/x) | | 8=-3/4+b | | 6q+1=3q-8 | | (3/x)+(1/x)=4 | | x+(3/x)=-4 | | 9x+22=5x+10+2(x+9) | | 3/8y=30/16 | | -3(8.3+3)=16 | | 5(x+16)-33x=7 | | x^4-9x^2+8= | | -15t^2-24t-9=0 |