If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -16t2 + 47t + 3.5 Reorder the terms: 0 = 3.5 + 47t + -16t2 Solving 0 = 3.5 + 47t + -16t2 Solving for variable 't'. Combine like terms: 0 + -3.5 = -3.5 -3.5 + -47t + 16t2 = 3.5 + 47t + -16t2 + -3.5 + -47t + 16t2 Reorder the terms: -3.5 + -47t + 16t2 = 3.5 + -3.5 + 47t + -47t + -16t2 + 16t2 Combine like terms: 3.5 + -3.5 = 0.0 -3.5 + -47t + 16t2 = 0.0 + 47t + -47t + -16t2 + 16t2 -3.5 + -47t + 16t2 = 47t + -47t + -16t2 + 16t2 Combine like terms: 47t + -47t = 0 -3.5 + -47t + 16t2 = 0 + -16t2 + 16t2 -3.5 + -47t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -3.5 + -47t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.21875 + -2.9375t + t2 = 0 Move the constant term to the right: Add '0.21875' to each side of the equation. -0.21875 + -2.9375t + 0.21875 + t2 = 0 + 0.21875 Reorder the terms: -0.21875 + 0.21875 + -2.9375t + t2 = 0 + 0.21875 Combine like terms: -0.21875 + 0.21875 = 0.00000 0.00000 + -2.9375t + t2 = 0 + 0.21875 -2.9375t + t2 = 0 + 0.21875 Combine like terms: 0 + 0.21875 = 0.21875 -2.9375t + t2 = 0.21875 The t term is -2.9375t. Take half its coefficient (-1.46875). Square it (2.157226563) and add it to both sides. Add '2.157226563' to each side of the equation. -2.9375t + 2.157226563 + t2 = 0.21875 + 2.157226563 Reorder the terms: 2.157226563 + -2.9375t + t2 = 0.21875 + 2.157226563 Combine like terms: 0.21875 + 2.157226563 = 2.375976563 2.157226563 + -2.9375t + t2 = 2.375976563 Factor a perfect square on the left side: (t + -1.46875)(t + -1.46875) = 2.375976563 Calculate the square root of the right side: 1.541420307 Break this problem into two subproblems by setting (t + -1.46875) equal to 1.541420307 and -1.541420307.Subproblem 1
t + -1.46875 = 1.541420307 Simplifying t + -1.46875 = 1.541420307 Reorder the terms: -1.46875 + t = 1.541420307 Solving -1.46875 + t = 1.541420307 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.46875' to each side of the equation. -1.46875 + 1.46875 + t = 1.541420307 + 1.46875 Combine like terms: -1.46875 + 1.46875 = 0.00000 0.00000 + t = 1.541420307 + 1.46875 t = 1.541420307 + 1.46875 Combine like terms: 1.541420307 + 1.46875 = 3.010170307 t = 3.010170307 Simplifying t = 3.010170307Subproblem 2
t + -1.46875 = -1.541420307 Simplifying t + -1.46875 = -1.541420307 Reorder the terms: -1.46875 + t = -1.541420307 Solving -1.46875 + t = -1.541420307 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.46875' to each side of the equation. -1.46875 + 1.46875 + t = -1.541420307 + 1.46875 Combine like terms: -1.46875 + 1.46875 = 0.00000 0.00000 + t = -1.541420307 + 1.46875 t = -1.541420307 + 1.46875 Combine like terms: -1.541420307 + 1.46875 = -0.072670307 t = -0.072670307 Simplifying t = -0.072670307Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.010170307, -0.072670307}
| t^2-16t=-63 | | 5m^2+m-130=0 | | 0=-64v^2+55 | | 4x^3-4x-1=0 | | 7z^2+21z-az-3a=0 | | 0=-64v^2+60 | | 18x+3=18x-3 | | 0.9(x+40)+0.1x=61 | | 3=18+n | | 3b^2+7b+3=5b-b^2 | | 0.4(3x+1)=3(3-2x)+13 | | 24(x-1)=-4(6-x)+20x | | 9x^2-17x+8=0 | | (2x-2)(6x+10)= | | 5x-3=5(x-8) | | 40x^2-57x-27=0 | | 0.2(x+5)=0.1(2x+10) | | 9(x+7)=8x+59 | | -4(6x-8)+6=-24x+38 | | 8(x-9)-10x=-2(x-7)+10 | | x^2-22x-11=0 | | 3-2x+2x=13+3x+2x | | -2x^2+3x+17=0 | | 45b+27=0 | | 6x^2+63x=33 | | 0=-16t^2+8t+450 | | 3x^2-19x+30=0 | | 6n+4=8n-2+n | | 0.4(5x+15)=2.2-(x+3) | | 2.36*9= | | -3.1x-2=45.6-1.4 | | 6x+8=9x+7 |