If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -5t2 + -8t + 120 Reorder the terms: 0 = 120 + -8t + -5t2 Solving 0 = 120 + -8t + -5t2 Solving for variable 't'. Combine like terms: 0 + -120 = -120 -120 + 8t + 5t2 = 120 + -8t + -5t2 + -120 + 8t + 5t2 Reorder the terms: -120 + 8t + 5t2 = 120 + -120 + -8t + 8t + -5t2 + 5t2 Combine like terms: 120 + -120 = 0 -120 + 8t + 5t2 = 0 + -8t + 8t + -5t2 + 5t2 -120 + 8t + 5t2 = -8t + 8t + -5t2 + 5t2 Combine like terms: -8t + 8t = 0 -120 + 8t + 5t2 = 0 + -5t2 + 5t2 -120 + 8t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -120 + 8t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -24 + 1.6t + t2 = 0 Move the constant term to the right: Add '24' to each side of the equation. -24 + 1.6t + 24 + t2 = 0 + 24 Reorder the terms: -24 + 24 + 1.6t + t2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1.6t + t2 = 0 + 24 1.6t + t2 = 0 + 24 Combine like terms: 0 + 24 = 24 1.6t + t2 = 24 The t term is 1.6t. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6t + 0.64 + t2 = 24 + 0.64 Reorder the terms: 0.64 + 1.6t + t2 = 24 + 0.64 Combine like terms: 24 + 0.64 = 24.64 0.64 + 1.6t + t2 = 24.64 Factor a perfect square on the left side: (t + 0.8)(t + 0.8) = 24.64 Calculate the square root of the right side: 4.963869458 Break this problem into two subproblems by setting (t + 0.8) equal to 4.963869458 and -4.963869458.Subproblem 1
t + 0.8 = 4.963869458 Simplifying t + 0.8 = 4.963869458 Reorder the terms: 0.8 + t = 4.963869458 Solving 0.8 + t = 4.963869458 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + t = 4.963869458 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + t = 4.963869458 + -0.8 t = 4.963869458 + -0.8 Combine like terms: 4.963869458 + -0.8 = 4.163869458 t = 4.163869458 Simplifying t = 4.163869458Subproblem 2
t + 0.8 = -4.963869458 Simplifying t + 0.8 = -4.963869458 Reorder the terms: 0.8 + t = -4.963869458 Solving 0.8 + t = -4.963869458 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + t = -4.963869458 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + t = -4.963869458 + -0.8 t = -4.963869458 + -0.8 Combine like terms: -4.963869458 + -0.8 = -5.763869458 t = -5.763869458 Simplifying t = -5.763869458Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.163869458, -5.763869458}
| 5(3w-4)=140 | | 144=w^2+8w+81 | | (3x-8)=10 | | 144=9+w*9+w | | 8x-23=x+26 | | N+4N=180 | | 2x^4+6x^3-7x+9=0 | | 16m-14m-13+4= | | 144=w+9*w+9 | | 10g-3=27 | | 4x-15=3x+20 | | 4x-32=18x-24 | | x^3-3x+28=0 | | 2*sin*2x-1=0 | | 9x-5=x+11 | | -5+17d-4d-9= | | 3T=LBS | | n+4n=200 | | 3(v-6)-8v=17 | | 8x-6(1x+1)=-18 | | y=x^4+6x^2+8 | | -16t^2-8t=10 | | (16x-12y+2)-2(8x-6y-4z)=42 | | 15+19+8g-10g= | | 9-3x-3x+x^2+6x-2x^2+18-6x-12+x=0 | | f(x)=x^4+6x^2+8 | | 7xsquared=7 | | 2k+(-4+4k)= | | 4+4n=16 | | 6+2m=8 | | 20x^2+3x=9 | | 6x+2(4x)=14 |