If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying t = -6t2 + 24t + 14 Reorder the terms: t = 14 + 24t + -6t2 Solving t = 14 + 24t + -6t2 Solving for variable 't'. Reorder the terms: -14 + t + -24t + 6t2 = 14 + 24t + -6t2 + -14 + -24t + 6t2 Combine like terms: t + -24t = -23t -14 + -23t + 6t2 = 14 + 24t + -6t2 + -14 + -24t + 6t2 Reorder the terms: -14 + -23t + 6t2 = 14 + -14 + 24t + -24t + -6t2 + 6t2 Combine like terms: 14 + -14 = 0 -14 + -23t + 6t2 = 0 + 24t + -24t + -6t2 + 6t2 -14 + -23t + 6t2 = 24t + -24t + -6t2 + 6t2 Combine like terms: 24t + -24t = 0 -14 + -23t + 6t2 = 0 + -6t2 + 6t2 -14 + -23t + 6t2 = -6t2 + 6t2 Combine like terms: -6t2 + 6t2 = 0 -14 + -23t + 6t2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -2.333333333 + -3.833333333t + t2 = 0 Move the constant term to the right: Add '2.333333333' to each side of the equation. -2.333333333 + -3.833333333t + 2.333333333 + t2 = 0 + 2.333333333 Reorder the terms: -2.333333333 + 2.333333333 + -3.833333333t + t2 = 0 + 2.333333333 Combine like terms: -2.333333333 + 2.333333333 = 0.000000000 0.000000000 + -3.833333333t + t2 = 0 + 2.333333333 -3.833333333t + t2 = 0 + 2.333333333 Combine like terms: 0 + 2.333333333 = 2.333333333 -3.833333333t + t2 = 2.333333333 The t term is -3.833333333t. Take half its coefficient (-1.916666667). Square it (3.673611112) and add it to both sides. Add '3.673611112' to each side of the equation. -3.833333333t + 3.673611112 + t2 = 2.333333333 + 3.673611112 Reorder the terms: 3.673611112 + -3.833333333t + t2 = 2.333333333 + 3.673611112 Combine like terms: 2.333333333 + 3.673611112 = 6.006944445 3.673611112 + -3.833333333t + t2 = 6.006944445 Factor a perfect square on the left side: (t + -1.916666667)(t + -1.916666667) = 6.006944445 Calculate the square root of the right side: 2.450906862 Break this problem into two subproblems by setting (t + -1.916666667) equal to 2.450906862 and -2.450906862.Subproblem 1
t + -1.916666667 = 2.450906862 Simplifying t + -1.916666667 = 2.450906862 Reorder the terms: -1.916666667 + t = 2.450906862 Solving -1.916666667 + t = 2.450906862 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.916666667' to each side of the equation. -1.916666667 + 1.916666667 + t = 2.450906862 + 1.916666667 Combine like terms: -1.916666667 + 1.916666667 = 0.000000000 0.000000000 + t = 2.450906862 + 1.916666667 t = 2.450906862 + 1.916666667 Combine like terms: 2.450906862 + 1.916666667 = 4.367573529 t = 4.367573529 Simplifying t = 4.367573529Subproblem 2
t + -1.916666667 = -2.450906862 Simplifying t + -1.916666667 = -2.450906862 Reorder the terms: -1.916666667 + t = -2.450906862 Solving -1.916666667 + t = -2.450906862 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.916666667' to each side of the equation. -1.916666667 + 1.916666667 + t = -2.450906862 + 1.916666667 Combine like terms: -1.916666667 + 1.916666667 = 0.000000000 0.000000000 + t = -2.450906862 + 1.916666667 t = -2.450906862 + 1.916666667 Combine like terms: -2.450906862 + 1.916666667 = -0.534240195 t = -0.534240195 Simplifying t = -0.534240195Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.367573529, -0.534240195}
| 110+0.30=20-0.60 | | 16(-1x+14)=-31(x-5) | | t=-6t^2 | | x+13.3=7.6 | | 4N=-28-2 | | 17-3y=2 | | x+13.3=77.6 | | 9x^2-54x+17=0 | | (9/4)(1/8) | | 3a+a-14=8 | | 5(x-2)-3=-3(-9x+6)-7x | | 5(x*2)=90/3 | | 2y^5+16y^4+32y^3=0 | | 20(-13x+24)=25(x-5) | | Y+30=-85 | | 2a-6a=5 | | 3(w-6)-7w=-22 | | 1/5k-8=3/5k=2 | | 3b-5b-16=2 | | -24+1+m=-9+13 | | y=5*1+4 | | 11x+9=-79 | | (|a-5|)/8=-5 | | 3d-5=31 | | 11x+3=-85 | | 9y-3=-6(y+3) | | 10q-8=72 | | 10r+8r+6=5 | | 1=-u/4 | | 1.4xwhat=1.83 | | 2x-12x+15=0 | | F=1.8(0.2)+32 |