If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 10t + 3 = 0 Reorder the terms: 3 + 10t + -16t2 = 0 Solving 3 + 10t + -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 + -0.625t + t2 = 0 Move the constant term to the right: Add '0.1875' to each side of the equation. -0.1875 + -0.625t + 0.1875 + t2 = 0 + 0.1875 Reorder the terms: -0.1875 + 0.1875 + -0.625t + t2 = 0 + 0.1875 Combine like terms: -0.1875 + 0.1875 = 0.0000 0.0000 + -0.625t + t2 = 0 + 0.1875 -0.625t + t2 = 0 + 0.1875 Combine like terms: 0 + 0.1875 = 0.1875 -0.625t + t2 = 0.1875 The t term is -0.625t. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625t + 0.09765625 + t2 = 0.1875 + 0.09765625 Reorder the terms: 0.09765625 + -0.625t + t2 = 0.1875 + 0.09765625 Combine like terms: 0.1875 + 0.09765625 = 0.28515625 0.09765625 + -0.625t + t2 = 0.28515625 Factor a perfect square on the left side: (t + -0.3125)(t + -0.3125) = 0.28515625 Calculate the square root of the right side: 0.534000234 Break this problem into two subproblems by setting (t + -0.3125) equal to 0.534000234 and -0.534000234.Subproblem 1
t + -0.3125 = 0.534000234 Simplifying t + -0.3125 = 0.534000234 Reorder the terms: -0.3125 + t = 0.534000234 Solving -0.3125 + t = 0.534000234 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.3125' to each side of the equation. -0.3125 + 0.3125 + t = 0.534000234 + 0.3125 Combine like terms: -0.3125 + 0.3125 = 0.0000 0.0000 + t = 0.534000234 + 0.3125 t = 0.534000234 + 0.3125 Combine like terms: 0.534000234 + 0.3125 = 0.846500234 t = 0.846500234 Simplifying t = 0.846500234Subproblem 2
t + -0.3125 = -0.534000234 Simplifying t + -0.3125 = -0.534000234 Reorder the terms: -0.3125 + t = -0.534000234 Solving -0.3125 + t = -0.534000234 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.3125' to each side of the equation. -0.3125 + 0.3125 + t = -0.534000234 + 0.3125 Combine like terms: -0.3125 + 0.3125 = 0.0000 0.0000 + t = -0.534000234 + 0.3125 t = -0.534000234 + 0.3125 Combine like terms: -0.534000234 + 0.3125 = -0.221500234 t = -0.221500234 Simplifying t = -0.221500234Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.846500234, -0.221500234}
| 3y+5.5=2-5y | | 5-17=-y | | 9x^2+3x-4=0 | | 6x-18x=0 | | 3y+5.5=2-5 | | 2x-7x=40 | | 24=10x-6x | | 59-2x=34x+15 | | 11a-4(2a-3)=18+5(a+2) | | 6x+2x=32 | | 8-10x=24-24x | | 13+3n=5n-6 | | 10-2y=4 | | r^2-4r-37=-5 | | 55xn= | | t-49=-26 | | b-45= | | 6x-3x^2-8-4x^2-7+1= | | 7+4=11 | | -(2x-4)+3(x-1)=2(x+4)+x | | 0.83+0.2t=0.6 | | 5+12x=137+x | | 2x+27=9x-29 | | 8r^2+34r-9=0 | | -8t-5+t-1= | | 4.2x-2.58=2.52-4.3x | | 6(3x-4)= | | 0=5-2(3+4x) | | 219-3x=33x+19 | | 2-3(x+4)=4 | | 5-2x-9=7x+18 | | x^3-4x^2-15x+18=0 |