If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 40t + 5 = 0 Reorder the terms: 5 + 40t + -16t2 = 0 Solving 5 + 40t + -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'. -0.3125 + -2.5t + t2 = 0 Move the constant term to the right: Add '0.3125' to each side of the equation. -0.3125 + -2.5t + 0.3125 + t2 = 0 + 0.3125 Reorder the terms: -0.3125 + 0.3125 + -2.5t + t2 = 0 + 0.3125 Combine like terms: -0.3125 + 0.3125 = 0.0000 0.0000 + -2.5t + t2 = 0 + 0.3125 -2.5t + t2 = 0 + 0.3125 Combine like terms: 0 + 0.3125 = 0.3125 -2.5t + t2 = 0.3125 The t term is -2.5t. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5t + 1.5625 + t2 = 0.3125 + 1.5625 Reorder the terms: 1.5625 + -2.5t + t2 = 0.3125 + 1.5625 Combine like terms: 0.3125 + 1.5625 = 1.875 1.5625 + -2.5t + t2 = 1.875 Factor a perfect square on the left side: (t + -1.25)(t + -1.25) = 1.875 Calculate the square root of the right side: 1.369306394 Break this problem into two subproblems by setting (t + -1.25) equal to 1.369306394 and -1.369306394.Subproblem 1
t + -1.25 = 1.369306394 Simplifying t + -1.25 = 1.369306394 Reorder the terms: -1.25 + t = 1.369306394 Solving -1.25 + t = 1.369306394 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + t = 1.369306394 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + t = 1.369306394 + 1.25 t = 1.369306394 + 1.25 Combine like terms: 1.369306394 + 1.25 = 2.619306394 t = 2.619306394 Simplifying t = 2.619306394Subproblem 2
t + -1.25 = -1.369306394 Simplifying t + -1.25 = -1.369306394 Reorder the terms: -1.25 + t = -1.369306394 Solving -1.25 + t = -1.369306394 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + t = -1.369306394 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + t = -1.369306394 + 1.25 t = -1.369306394 + 1.25 Combine like terms: -1.369306394 + 1.25 = -0.119306394 t = -0.119306394 Simplifying t = -0.119306394Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.619306394, -0.119306394}
| x^2+12x=-9 | | 7(9+x)=84 | | -10=10(x-9) | | x^2+20x=39 | | 15b^2-17bc-4c^2=0 | | 30j^2-27j-21= | | 8v^2+34v-30= | | 4x+0+x=3+7 | | 64w^2+81= | | 81c^2-25= | | 8x-18=72 | | 24n^2+2n-12= | | 7x+2=3+6 | | 25a^2+30a+9= | | 8x-72=18 | | 2(4r-4)=-36+r | | 9y+4-3y=40 | | 6x^2-13+5=0 | | 5+12z-2=8z+31-3z | | 13x(10a+b)-11y(10a+b)= | | 16a^2-40a+25=0 | | 5r-2+3(r-11)=5 | | 205=-5(1-7k) | | 49a^2-100p^2= | | 63x^2y-7y=0 | | 70-2/3= | | 3y(5-6)+8(6x-7y)= | | -3(x-6)=2-x | | 9m^2-12m-5= | | 0.67/2= | | 6(3x-7)(7x+4)=0 | | 2y=-2x-8 |