If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + -138t + 78 = 0 Reorder the terms: 78 + -138t + 16t2 = 0 Solving 78 + -138t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(39 + -69t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(39 + -69t + 8t2)' equal to zero and attempt to solve: Simplifying 39 + -69t + 8t2 = 0 Solving 39 + -69t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 4.875 + -8.625t + t2 = 0 Move the constant term to the right: Add '-4.875' to each side of the equation. 4.875 + -8.625t + -4.875 + t2 = 0 + -4.875 Reorder the terms: 4.875 + -4.875 + -8.625t + t2 = 0 + -4.875 Combine like terms: 4.875 + -4.875 = 0.000 0.000 + -8.625t + t2 = 0 + -4.875 -8.625t + t2 = 0 + -4.875 Combine like terms: 0 + -4.875 = -4.875 -8.625t + t2 = -4.875 The t term is -8.625t. Take half its coefficient (-4.3125). Square it (18.59765625) and add it to both sides. Add '18.59765625' to each side of the equation. -8.625t + 18.59765625 + t2 = -4.875 + 18.59765625 Reorder the terms: 18.59765625 + -8.625t + t2 = -4.875 + 18.59765625 Combine like terms: -4.875 + 18.59765625 = 13.72265625 18.59765625 + -8.625t + t2 = 13.72265625 Factor a perfect square on the left side: (t + -4.3125)(t + -4.3125) = 13.72265625 Calculate the square root of the right side: 3.704410378 Break this problem into two subproblems by setting (t + -4.3125) equal to 3.704410378 and -3.704410378.Subproblem 1
t + -4.3125 = 3.704410378 Simplifying t + -4.3125 = 3.704410378 Reorder the terms: -4.3125 + t = 3.704410378 Solving -4.3125 + t = 3.704410378 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.3125' to each side of the equation. -4.3125 + 4.3125 + t = 3.704410378 + 4.3125 Combine like terms: -4.3125 + 4.3125 = 0.0000 0.0000 + t = 3.704410378 + 4.3125 t = 3.704410378 + 4.3125 Combine like terms: 3.704410378 + 4.3125 = 8.016910378 t = 8.016910378 Simplifying t = 8.016910378Subproblem 2
t + -4.3125 = -3.704410378 Simplifying t + -4.3125 = -3.704410378 Reorder the terms: -4.3125 + t = -3.704410378 Solving -4.3125 + t = -3.704410378 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.3125' to each side of the equation. -4.3125 + 4.3125 + t = -3.704410378 + 4.3125 Combine like terms: -4.3125 + 4.3125 = 0.0000 0.0000 + t = -3.704410378 + 4.3125 t = -3.704410378 + 4.3125 Combine like terms: -3.704410378 + 4.3125 = 0.608089622 t = 0.608089622 Simplifying t = 0.608089622Solution
The solution to the problem is based on the solutions from the subproblems. t = {8.016910378, 0.608089622}Solution
t = {8.016910378, 0.608089622}
| (K-10)=12 | | y=-4x-14.5 | | 6/5x^-1/5 | | (-10+x)-9=10 | | 9(w-6)=3w-30 | | 3x^2+6x-2=2x^2+5 | | y-60=48 | | -5(n+3)=-60 | | x^4-6x^3+x^2-6x=0 | | .3x=36 | | 16x-2=15x-36 | | 3.84=u/3 | | .5d-12=24 | | .5-12=24 | | 9=(x+5)2 | | P=Z^3 | | 2x+9=7x+24 | | Z^2=2P | | 3(x-4)+x-2=2 | | x^3+8x^2+15x+18=0 | | 13x+2x^2=5x | | 4+x=x+3x-2 | | 144=0.5mP^2 | | 2x^2+140x=7550 | | X=y^2+y-5 | | 8x^4-6x^3-7x^2+6x-1=0 | | 4y-2x=36 | | 16x^2-1=63 | | (7x-21)(5x+13)=360 | | 3x*3x*3x=0 | | -19x+8x^2=-x+2x^2 | | -8-5x^2=-28 |