If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 48t + 3 = 0 Reorder the terms: 3 + 48t + -16t2 = 0 Solving 3 + 48t + -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'. -0.1875 + -3t + t2 = 0 Move the constant term to the right: Add '0.1875' to each side of the equation. -0.1875 + -3t + 0.1875 + t2 = 0 + 0.1875 Reorder the terms: -0.1875 + 0.1875 + -3t + t2 = 0 + 0.1875 Combine like terms: -0.1875 + 0.1875 = 0.0000 0.0000 + -3t + t2 = 0 + 0.1875 -3t + t2 = 0 + 0.1875 Combine like terms: 0 + 0.1875 = 0.1875 -3t + t2 = 0.1875 The t term is -3t. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3t + 2.25 + t2 = 0.1875 + 2.25 Reorder the terms: 2.25 + -3t + t2 = 0.1875 + 2.25 Combine like terms: 0.1875 + 2.25 = 2.4375 2.25 + -3t + t2 = 2.4375 Factor a perfect square on the left side: (t + -1.5)(t + -1.5) = 2.4375 Calculate the square root of the right side: 1.5612495 Break this problem into two subproblems by setting (t + -1.5) equal to 1.5612495 and -1.5612495.Subproblem 1
t + -1.5 = 1.5612495 Simplifying t + -1.5 = 1.5612495 Reorder the terms: -1.5 + t = 1.5612495 Solving -1.5 + t = 1.5612495 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + t = 1.5612495 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + t = 1.5612495 + 1.5 t = 1.5612495 + 1.5 Combine like terms: 1.5612495 + 1.5 = 3.0612495 t = 3.0612495 Simplifying t = 3.0612495Subproblem 2
t + -1.5 = -1.5612495 Simplifying t + -1.5 = -1.5612495 Reorder the terms: -1.5 + t = -1.5612495 Solving -1.5 + t = -1.5612495 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + t = -1.5612495 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + t = -1.5612495 + 1.5 t = -1.5612495 + 1.5 Combine like terms: -1.5612495 + 1.5 = -0.0612495 t = -0.0612495 Simplifying t = -0.0612495Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.0612495, -0.0612495}
| -(49x-2x+2)= | | 4.6=-6+x | | x^4-50x^2+49= | | 2x=(x^2)-9-2x | | 0=-16t^2+48t+3 | | 3ab-(4bc-5ca+2ab)-(4ac-3cb)= | | 3n+11=0 | | -3z-9=3(-z-3) | | -v+25=4v | | 9x+11y=130 | | 4v=8v+8 | | n^4-49n^2= | | -w+6=-4w+15 | | 4v+6=8v+18 | | 4y-7=7y+8 | | -7(-3r+1)=-19 | | -5-3(9z+1)=-4(6z+9)-5 | | 24=8k | | 8-6(2x+2)=9(3x+4)+7 | | x/2(-6)=6 | | -4u+7=4u+7 | | 2x+x-6=3 | | 7(3x-5)=3(x+3)-17 | | m^4-625= | | 34.2/7 | | -0.2w-1.7=-1.1w-0.8 | | x+(24/x)=10 | | 2x^2-14x=-20 | | 7/2/1/2 | | 0.3(z-1.5)=1.1(z+0.5) | | -(9y-1)=-9y+17 | | 4/3/8/9 |