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 + 48t + 1 Reorder the terms: 0 = 1 + 48t + -16t2 Solving 0 = 1 + 48t + -16t2 Solving for variable 't'. Combine like terms: 0 + -1 = -1 -1 + -48t + 16t2 = 1 + 48t + -16t2 + -1 + -48t + 16t2 Reorder the terms: -1 + -48t + 16t2 = 1 + -1 + 48t + -48t + -16t2 + 16t2 Combine like terms: 1 + -1 = 0 -1 + -48t + 16t2 = 0 + 48t + -48t + -16t2 + 16t2 -1 + -48t + 16t2 = 48t + -48t + -16t2 + 16t2 Combine like terms: 48t + -48t = 0 -1 + -48t + 16t2 = 0 + -16t2 + 16t2 -1 + -48t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -1 + -48t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.0625 + -3t + t2 = 0 Move the constant term to the right: Add '0.0625' to each side of the equation. -0.0625 + -3t + 0.0625 + t2 = 0 + 0.0625 Reorder the terms: -0.0625 + 0.0625 + -3t + t2 = 0 + 0.0625 Combine like terms: -0.0625 + 0.0625 = 0.0000 0.0000 + -3t + t2 = 0 + 0.0625 -3t + t2 = 0 + 0.0625 Combine like terms: 0 + 0.0625 = 0.0625 -3t + t2 = 0.0625 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 = 0.0625 + 2.25 Reorder the terms: 2.25 + -3t + t2 = 0.0625 + 2.25 Combine like terms: 0.0625 + 2.25 = 2.3125 2.25 + -3t + t2 = 2.3125 Factor a perfect square on the left side: (t + -1.5)(t + -1.5) = 2.3125 Calculate the square root of the right side: 1.520690633 Break this problem into two subproblems by setting (t + -1.5) equal to 1.520690633 and -1.520690633.Subproblem 1
t + -1.5 = 1.520690633 Simplifying t + -1.5 = 1.520690633 Reorder the terms: -1.5 + t = 1.520690633 Solving -1.5 + t = 1.520690633 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 = 1.520690633 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + t = 1.520690633 + 1.5 t = 1.520690633 + 1.5 Combine like terms: 1.520690633 + 1.5 = 3.020690633 t = 3.020690633 Simplifying t = 3.020690633Subproblem 2
t + -1.5 = -1.520690633 Simplifying t + -1.5 = -1.520690633 Reorder the terms: -1.5 + t = -1.520690633 Solving -1.5 + t = -1.520690633 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 = -1.520690633 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + t = -1.520690633 + 1.5 t = -1.520690633 + 1.5 Combine like terms: -1.520690633 + 1.5 = -0.020690633 t = -0.020690633 Simplifying t = -0.020690633Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.020690633, -0.020690633}
| -14+2=6 | | 4(7x+5)+3=28x+23 | | -7n+40=-2(7n+1) | | 5v^2-14v+8= | | -29+6n=-5(-3n-6)-5 | | 135x^3+30x^6-45x^7= | | 4x+3(-5x-2)=115 | | 8x-3=8(x-4) | | 12-4t=4 | | x-6-7x=-48 | | 4(2x+5)=10-(x+8) | | 1.8q-5.6-1.7q=-0.9q-5.1 | | .5x^2-18=0 | | 6x-66=54+x | | 7x-(1)=4x+(3) | | 2.8x^2-3.1x=0 | | 44b^2-288b-140=0 | | 3x-7(-4x-13)=-126 | | x+x+2+x+4=60 | | -7x+8=5(x-8) | | 5b-5=-12+6b | | -320=-8(-5x+15) | | .16(y-9)+0.20y=0.06y-0.05(60) | | 91=-7(2v+3) | | 27x^2-12= | | 6x-3=6x+8 | | 3(x-1)+x=(x+2) | | 8=-3s+5.4 | | 3(4x-8)=6(2x-4) | | 8x+.125=9x+.375 | | 8(2k+2)=16+4k | | 0.9(2x+4)=0.7-(x-3) |