If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5.5 = -16t2 + 45t + 3 Reorder the terms: 5.5 = 3 + 45t + -16t2 Solving 5.5 = 3 + 45t + -16t2 Solving for variable 't'. Combine like terms: 5.5 + -3 = 2.5 2.5 + -45t + 16t2 = 3 + 45t + -16t2 + -3 + -45t + 16t2 Reorder the terms: 2.5 + -45t + 16t2 = 3 + -3 + 45t + -45t + -16t2 + 16t2 Combine like terms: 3 + -3 = 0 2.5 + -45t + 16t2 = 0 + 45t + -45t + -16t2 + 16t2 2.5 + -45t + 16t2 = 45t + -45t + -16t2 + 16t2 Combine like terms: 45t + -45t = 0 2.5 + -45t + 16t2 = 0 + -16t2 + 16t2 2.5 + -45t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 2.5 + -45t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.15625 + -2.8125t + t2 = 0 Move the constant term to the right: Add '-0.15625' to each side of the equation. 0.15625 + -2.8125t + -0.15625 + t2 = 0 + -0.15625 Reorder the terms: 0.15625 + -0.15625 + -2.8125t + t2 = 0 + -0.15625 Combine like terms: 0.15625 + -0.15625 = 0.00000 0.00000 + -2.8125t + t2 = 0 + -0.15625 -2.8125t + t2 = 0 + -0.15625 Combine like terms: 0 + -0.15625 = -0.15625 -2.8125t + t2 = -0.15625 The t term is -2.8125t. Take half its coefficient (-1.40625). Square it (1.977539063) and add it to both sides. Add '1.977539063' to each side of the equation. -2.8125t + 1.977539063 + t2 = -0.15625 + 1.977539063 Reorder the terms: 1.977539063 + -2.8125t + t2 = -0.15625 + 1.977539063 Combine like terms: -0.15625 + 1.977539063 = 1.821289063 1.977539063 + -2.8125t + t2 = 1.821289063 Factor a perfect square on the left side: (t + -1.40625)(t + -1.40625) = 1.821289063 Calculate the square root of the right side: 1.34955143 Break this problem into two subproblems by setting (t + -1.40625) equal to 1.34955143 and -1.34955143.Subproblem 1
t + -1.40625 = 1.34955143 Simplifying t + -1.40625 = 1.34955143 Reorder the terms: -1.40625 + t = 1.34955143 Solving -1.40625 + t = 1.34955143 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.40625' to each side of the equation. -1.40625 + 1.40625 + t = 1.34955143 + 1.40625 Combine like terms: -1.40625 + 1.40625 = 0.00000 0.00000 + t = 1.34955143 + 1.40625 t = 1.34955143 + 1.40625 Combine like terms: 1.34955143 + 1.40625 = 2.75580143 t = 2.75580143 Simplifying t = 2.75580143Subproblem 2
t + -1.40625 = -1.34955143 Simplifying t + -1.40625 = -1.34955143 Reorder the terms: -1.40625 + t = -1.34955143 Solving -1.40625 + t = -1.34955143 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.40625' to each side of the equation. -1.40625 + 1.40625 + t = -1.34955143 + 1.40625 Combine like terms: -1.40625 + 1.40625 = 0.00000 0.00000 + t = -1.34955143 + 1.40625 t = -1.34955143 + 1.40625 Combine like terms: -1.34955143 + 1.40625 = 0.05669857 t = 0.05669857 Simplifying t = 0.05669857Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.75580143, 0.05669857}
| X^5=81x^3 | | a+5b+3a-2b= | | 5/8x32 | | 3.4=3c+0.8+2c+0.1 | | 2x+2/7*14/12x+12 | | 3x^2(3x-60)+108(7x-8)=0 | | ((2x)-5)+((4x)+14)=90 | | 21a^3-15a^2-56a+40=0 | | 3/4y+1/4+1/4y=1/4 | | x+(2x-15)+2x=130 | | f/3.25=8 | | 1/4y+1/4+1/4y=1/4 | | -1/4-x=-3/4 | | 36a^2-44a-56=0 | | -3x+3+4x=0 | | 22+19c=-8 | | 3x-5=33 | | 2x^2-19x-5=0 | | 25n^2+20n+4=0 | | X+4/7=5/7 | | 28=12+t | | (7x)-24=(5x)+14 | | 7a+5b=48 | | 1/5=4c+1/5-3c | | r/4+8=13 | | (9x-18)(x^2-18x+48)=0 | | 11x^2+21=10x^2+18 | | x^2-4.5x-2.5=0 | | 2x-80=x+30 | | 0=3y-1/4-2y-1/2 | | 4/2/5 | | 35x^3+56x^2-20x-32=0 |