If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8 = 3 + 13t + -5t2 Solving 8 = 3 + 13t + -5t2 Solving for variable 't'. Combine like terms: 8 + -3 = 5 5 + -13t + 5t2 = 3 + 13t + -5t2 + -3 + -13t + 5t2 Reorder the terms: 5 + -13t + 5t2 = 3 + -3 + 13t + -13t + -5t2 + 5t2 Combine like terms: 3 + -3 = 0 5 + -13t + 5t2 = 0 + 13t + -13t + -5t2 + 5t2 5 + -13t + 5t2 = 13t + -13t + -5t2 + 5t2 Combine like terms: 13t + -13t = 0 5 + -13t + 5t2 = 0 + -5t2 + 5t2 5 + -13t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 5 + -13t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + -2.6t + t2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -2.6t + -1 + t2 = 0 + -1 Reorder the terms: 1 + -1 + -2.6t + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2.6t + t2 = 0 + -1 -2.6t + t2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2.6t + t2 = -1 The t term is -2.6t. Take half its coefficient (-1.3). Square it (1.69) and add it to both sides. Add '1.69' to each side of the equation. -2.6t + 1.69 + t2 = -1 + 1.69 Reorder the terms: 1.69 + -2.6t + t2 = -1 + 1.69 Combine like terms: -1 + 1.69 = 0.69 1.69 + -2.6t + t2 = 0.69 Factor a perfect square on the left side: (t + -1.3)(t + -1.3) = 0.69 Calculate the square root of the right side: 0.830662386 Break this problem into two subproblems by setting (t + -1.3) equal to 0.830662386 and -0.830662386.Subproblem 1
t + -1.3 = 0.830662386 Simplifying t + -1.3 = 0.830662386 Reorder the terms: -1.3 + t = 0.830662386 Solving -1.3 + t = 0.830662386 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + t = 0.830662386 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + t = 0.830662386 + 1.3 t = 0.830662386 + 1.3 Combine like terms: 0.830662386 + 1.3 = 2.130662386 t = 2.130662386 Simplifying t = 2.130662386Subproblem 2
t + -1.3 = -0.830662386 Simplifying t + -1.3 = -0.830662386 Reorder the terms: -1.3 + t = -0.830662386 Solving -1.3 + t = -0.830662386 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + t = -0.830662386 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + t = -0.830662386 + 1.3 t = -0.830662386 + 1.3 Combine like terms: -0.830662386 + 1.3 = 0.469337614 t = 0.469337614 Simplifying t = 0.469337614Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.130662386, 0.469337614}
| 6x^2-7x=-12+5x^2 | | p^2=-p+12 | | 0=160-12t-16t^2 | | (-a-bi)=4(a^2-2abi-b)+36 | | 95=183t-16t^2 | | 15x-3=45x+9 | | n^2=-10-7n | | -z=4zbar^2+36 | | 4=3+5t-5t^2 | | 4x^3-12x^2-9x=-27 | | 5v+2=-23 | | 5(x-8)10x= | | x^2-12x+39=4 | | 61=2x+15 | | 61=2x+16 | | p^2-6p-6=-6 | | -9(z+9)=-8z-2 | | b^2-8b+23=7 | | y-4=2y-10 | | 1.3=-3c+0.9+4c+0.2 | | n^2-7n-7=-7 | | 2k^2+6=7k | | x=-2x^2+7x+2 | | r^2+7r+6=-6 | | 8a+2c=12 | | m^2+3m-25=3 | | x^3+5x^2y+2y^2=4y+117 | | 8=3+15t-5t^2 | | p^2+3p-14=4 | | tan(3x+2)=4 | | r^2-5r-10=4 | | r^2-5r-10=0 |