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 + 320t + 32 Reorder the terms: 0 = 32 + 320t + -16t2 Solving 0 = 32 + 320t + -16t2 Solving for variable 't'. Combine like terms: 0 + -32 = -32 -32 + -320t + 16t2 = 32 + 320t + -16t2 + -32 + -320t + 16t2 Reorder the terms: -32 + -320t + 16t2 = 32 + -32 + 320t + -320t + -16t2 + 16t2 Combine like terms: 32 + -32 = 0 -32 + -320t + 16t2 = 0 + 320t + -320t + -16t2 + 16t2 -32 + -320t + 16t2 = 320t + -320t + -16t2 + 16t2 Combine like terms: 320t + -320t = 0 -32 + -320t + 16t2 = 0 + -16t2 + 16t2 -32 + -320t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -32 + -320t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-2 + -20t + t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-2 + -20t + t2)' equal to zero and attempt to solve: Simplifying -2 + -20t + t2 = 0 Solving -2 + -20t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '2' to each side of the equation. -2 + -20t + 2 + t2 = 0 + 2 Reorder the terms: -2 + 2 + -20t + t2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -20t + t2 = 0 + 2 -20t + t2 = 0 + 2 Combine like terms: 0 + 2 = 2 -20t + t2 = 2 The t term is -20t. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20t + 100 + t2 = 2 + 100 Reorder the terms: 100 + -20t + t2 = 2 + 100 Combine like terms: 2 + 100 = 102 100 + -20t + t2 = 102 Factor a perfect square on the left side: (t + -10)(t + -10) = 102 Calculate the square root of the right side: 10.099504938 Break this problem into two subproblems by setting (t + -10) equal to 10.099504938 and -10.099504938.Subproblem 1
t + -10 = 10.099504938 Simplifying t + -10 = 10.099504938 Reorder the terms: -10 + t = 10.099504938 Solving -10 + t = 10.099504938 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + t = 10.099504938 + 10 Combine like terms: -10 + 10 = 0 0 + t = 10.099504938 + 10 t = 10.099504938 + 10 Combine like terms: 10.099504938 + 10 = 20.099504938 t = 20.099504938 Simplifying t = 20.099504938Subproblem 2
t + -10 = -10.099504938 Simplifying t + -10 = -10.099504938 Reorder the terms: -10 + t = -10.099504938 Solving -10 + t = -10.099504938 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + t = -10.099504938 + 10 Combine like terms: -10 + 10 = 0 0 + t = -10.099504938 + 10 t = -10.099504938 + 10 Combine like terms: -10.099504938 + 10 = -0.099504938 t = -0.099504938 Simplifying t = -0.099504938Solution
The solution to the problem is based on the solutions from the subproblems. t = {20.099504938, -0.099504938}Solution
t = {20.099504938, -0.099504938}
| 13+4(x+9)=104 | | 4t-7=2t-1 | | 8t-18=3(t-6)+5t | | 9g^2-7g-4= | | (4x^5+3x-12)-(3x^3+x^2-3x-6)= | | 6x+5+5(2+x)= | | 12=x*(2x-5) | | 2*-28+3y=-59 | | 4x(10x+1)=0 | | 6w^2+25W+21=0 | | 5a+2-7=0 | | 2*-28+3y=4 | | (a-3b)(a+3b)= | | 12=2x-5*x | | -3y^2+2y+24=0 | | 4(-8x+7)-1=-8+3x | | 7x-3=x-21 | | -2(4s-6)-12=-3(8s+5)-3 | | x^2+13x+130=0 | | 4x^2+11x=-7 | | 2x-3=-13+4x | | 1600=x^2+60x | | 3x+12=4x+14 | | 9ex=32 | | x(x-5)=150 | | 5x-15+2x+6=0 | | 23+4(3-2k)+k= | | 6x^6-13x^3-8=0 | | y^2+y+x-20=0 | | 2x+6z=6+7y | | 1/2(4x-2)+x+5=0 | | (-7a^2+7a-2)+(8a^2-2a-3)= |