If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + 320t = 1538 Reorder the terms: 320t + 16t2 = 1538 Solving 320t + 16t2 = 1538 Solving for variable 't'. Reorder the terms: -1538 + 320t + 16t2 = 1538 + -1538 Combine like terms: 1538 + -1538 = 0 -1538 + 320t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-769 + 160t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-769 + 160t + 8t2)' equal to zero and attempt to solve: Simplifying -769 + 160t + 8t2 = 0 Solving -769 + 160t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -96.125 + 20t + t2 = 0 Move the constant term to the right: Add '96.125' to each side of the equation. -96.125 + 20t + 96.125 + t2 = 0 + 96.125 Reorder the terms: -96.125 + 96.125 + 20t + t2 = 0 + 96.125 Combine like terms: -96.125 + 96.125 = 0.000 0.000 + 20t + t2 = 0 + 96.125 20t + t2 = 0 + 96.125 Combine like terms: 0 + 96.125 = 96.125 20t + t2 = 96.125 The t term is 20t. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20t + 100 + t2 = 96.125 + 100 Reorder the terms: 100 + 20t + t2 = 96.125 + 100 Combine like terms: 96.125 + 100 = 196.125 100 + 20t + t2 = 196.125 Factor a perfect square on the left side: (t + 10)(t + 10) = 196.125 Calculate the square root of the right side: 14.004463574 Break this problem into two subproblems by setting (t + 10) equal to 14.004463574 and -14.004463574.Subproblem 1
t + 10 = 14.004463574 Simplifying t + 10 = 14.004463574 Reorder the terms: 10 + t = 14.004463574 Solving 10 + t = 14.004463574 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = 14.004463574 + -10 Combine like terms: 10 + -10 = 0 0 + t = 14.004463574 + -10 t = 14.004463574 + -10 Combine like terms: 14.004463574 + -10 = 4.004463574 t = 4.004463574 Simplifying t = 4.004463574Subproblem 2
t + 10 = -14.004463574 Simplifying t + 10 = -14.004463574 Reorder the terms: 10 + t = -14.004463574 Solving 10 + t = -14.004463574 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = -14.004463574 + -10 Combine like terms: 10 + -10 = 0 0 + t = -14.004463574 + -10 t = -14.004463574 + -10 Combine like terms: -14.004463574 + -10 = -24.004463574 t = -24.004463574 Simplifying t = -24.004463574Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.004463574, -24.004463574}Solution
t = {4.004463574, -24.004463574}
| 4c+12y=16 | | 5p^2+20p-60= | | 2x-4=20x+5 | | (3a^2b)*(-a^3b^2c)= | | 0.2x+3.6=0.8x-1.2 | | (3a^2b)*(a^3b^2c)= | | x/6+x/8=1 | | 6c+12y=18 | | 6c+12y=12 | | 11(9x-7x)=-2 | | 24y^2-22y+3=0 | | x+(-15)=5 | | x(x)-12=x | | 11(8+x)=9(5+x) | | 10x^3-5=0 | | -5x+x+2w= | | 5+4y=y+3 | | n^3-n-6=0 | | 9x^6y^2(-6x^3z+2y^2+-4z)= | | 4c+8y=16 | | 3-3(x+3)=x-4(3-x) | | 5p+6(p+7)=3(p+2) | | 4y+8c=12 | | 3y+6y=18 | | 5+4x+2=x-8-1 | | -36-10+37x=-12-(-14) | | 2y+8y=20 | | x^3-2x^2+2x-400=0 | | 4x-19=2+7x | | 9s-15=-24+6s | | 31=h-15+2h-8 | | -3(4t-5)=5(6-2t) |