If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 11 + -30t + -2t2 = 0 Solving 11 + -30t + -2t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -5.5 + 15t + t2 = 0 Move the constant term to the right: Add '5.5' to each side of the equation. -5.5 + 15t + 5.5 + t2 = 0 + 5.5 Reorder the terms: -5.5 + 5.5 + 15t + t2 = 0 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 15t + t2 = 0 + 5.5 15t + t2 = 0 + 5.5 Combine like terms: 0 + 5.5 = 5.5 15t + t2 = 5.5 The t term is 15t. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15t + 56.25 + t2 = 5.5 + 56.25 Reorder the terms: 56.25 + 15t + t2 = 5.5 + 56.25 Combine like terms: 5.5 + 56.25 = 61.75 56.25 + 15t + t2 = 61.75 Factor a perfect square on the left side: (t + 7.5)(t + 7.5) = 61.75 Calculate the square root of the right side: 7.858116823 Break this problem into two subproblems by setting (t + 7.5) equal to 7.858116823 and -7.858116823.Subproblem 1
t + 7.5 = 7.858116823 Simplifying t + 7.5 = 7.858116823 Reorder the terms: 7.5 + t = 7.858116823 Solving 7.5 + t = 7.858116823 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + t = 7.858116823 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + t = 7.858116823 + -7.5 t = 7.858116823 + -7.5 Combine like terms: 7.858116823 + -7.5 = 0.358116823 t = 0.358116823 Simplifying t = 0.358116823Subproblem 2
t + 7.5 = -7.858116823 Simplifying t + 7.5 = -7.858116823 Reorder the terms: 7.5 + t = -7.858116823 Solving 7.5 + t = -7.858116823 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + t = -7.858116823 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + t = -7.858116823 + -7.5 t = -7.858116823 + -7.5 Combine like terms: -7.858116823 + -7.5 = -15.358116823 t = -15.358116823 Simplifying t = -15.358116823Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.358116823, -15.358116823}
| -21=-7(2+5v)-7 | | 7x^2+7x-14=0 | | 5c+4v=38 | | -8=-8+4(-2-2v) | | x^2+56=-x | | -4-5n=-3n+5+1 | | 16=4(a-3) | | -48=6(2x+5)+x | | (x+2)(x-6-2i)(x-6+2i)=0 | | -14=3x+-2 | | -13=-(v+4)-8v | | (-2x)(2x)= | | 4.9x^2-40x+80=0 | | -7+4b=2+b | | 65+2x+34-x=3x+12-4x-23 | | 5n-16-8h=-10 | | 88=240t-16t^2 | | 9x^4+33x^3-71x^2-10=0 | | 3x^3-43x^2+188x-228=0 | | 72=-6r | | 7x+5=3x+17 | | 7k-14+3k=21 | | 5w^4+5w^2+15w= | | 5x+5=3x+17 | | 3y-4+y+48=7y+50-5y | | y=(2x^2)+x-10 | | 7x+3=x+21 | | 4.8+1.1n=2.38 | | 2z-31=-9+24 | | (x+2)(x-3+5i)(x-3-5i)=0 | | 5x+14=3x-7 | | x^2=41 |