If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3 + 29t + -16t2 = 0 Solving 3 + 29t + -16t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. -0.1875 + -1.8125t + t2 = 0 Move the constant term to the right: Add '0.1875' to each side of the equation. -0.1875 + -1.8125t + 0.1875 + t2 = 0 + 0.1875 Reorder the terms: -0.1875 + 0.1875 + -1.8125t + t2 = 0 + 0.1875 Combine like terms: -0.1875 + 0.1875 = 0.0000 0.0000 + -1.8125t + t2 = 0 + 0.1875 -1.8125t + t2 = 0 + 0.1875 Combine like terms: 0 + 0.1875 = 0.1875 -1.8125t + t2 = 0.1875 The t term is -1.8125t. Take half its coefficient (-0.90625). Square it (0.8212890625) and add it to both sides. Add '0.8212890625' to each side of the equation. -1.8125t + 0.8212890625 + t2 = 0.1875 + 0.8212890625 Reorder the terms: 0.8212890625 + -1.8125t + t2 = 0.1875 + 0.8212890625 Combine like terms: 0.1875 + 0.8212890625 = 1.0087890625 0.8212890625 + -1.8125t + t2 = 1.0087890625 Factor a perfect square on the left side: (t + -0.90625)(t + -0.90625) = 1.0087890625 Calculate the square root of the right side: 1.004384918 Break this problem into two subproblems by setting (t + -0.90625) equal to 1.004384918 and -1.004384918.Subproblem 1
t + -0.90625 = 1.004384918 Simplifying t + -0.90625 = 1.004384918 Reorder the terms: -0.90625 + t = 1.004384918 Solving -0.90625 + t = 1.004384918 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.90625' to each side of the equation. -0.90625 + 0.90625 + t = 1.004384918 + 0.90625 Combine like terms: -0.90625 + 0.90625 = 0.00000 0.00000 + t = 1.004384918 + 0.90625 t = 1.004384918 + 0.90625 Combine like terms: 1.004384918 + 0.90625 = 1.910634918 t = 1.910634918 Simplifying t = 1.910634918Subproblem 2
t + -0.90625 = -1.004384918 Simplifying t + -0.90625 = -1.004384918 Reorder the terms: -0.90625 + t = -1.004384918 Solving -0.90625 + t = -1.004384918 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.90625' to each side of the equation. -0.90625 + 0.90625 + t = -1.004384918 + 0.90625 Combine like terms: -0.90625 + 0.90625 = 0.00000 0.00000 + t = -1.004384918 + 0.90625 t = -1.004384918 + 0.90625 Combine like terms: -1.004384918 + 0.90625 = -0.098134918 t = -0.098134918 Simplifying t = -0.098134918Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.910634918, -0.098134918}
| X/3-6=2x/12 | | -a^2-1+2a=0 | | (n-4)4.3-2.1=15 | | 66=k/10+58 | | x-7/9=19/18 | | 3(4x-10)-(2x+4)=50 | | 3(x+3)+4(2+x)-3=7x- | | 2(2y+10)+3y=-1 | | d/8+48=54 | | f(12)=12-2 | | 34=h/10+28 | | 3(x+3)+4(2+x)-3=7x | | 5-3c-2=c | | -5y+26=-24 | | 3(x+3)+4(2+x)-3=7x-x | | x+(x-24)=104 | | 6i-(9-5i)= | | 6+7m=27 | | 79=25-(-9m) | | f(x)=2x^4-8x^2+5x-7 | | 65=9-(-8p) | | 16x+10=170 | | 1-4w=13 | | 6-(-4+9i)-(-4-i)= | | -23-6t+2t^2=0 | | 1.5x-4=13 | | (5a-4)=14-8a | | 14*x-(3*x+12)-(5*x+2-(x-1))=0 | | 5-2(4x-8)=45 | | x+3-4+3x=x-8+3 | | 30x^2+60x+20=0 | | 3.14*x^2=345.4 |