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 + 30t + 75 Reorder the terms: 0 = 75 + 30t + -16t2 Solving 0 = 75 + 30t + -16t2 Solving for variable 't'. Combine like terms: 0 + -75 = -75 -75 + -30t + 16t2 = 75 + 30t + -16t2 + -75 + -30t + 16t2 Reorder the terms: -75 + -30t + 16t2 = 75 + -75 + 30t + -30t + -16t2 + 16t2 Combine like terms: 75 + -75 = 0 -75 + -30t + 16t2 = 0 + 30t + -30t + -16t2 + 16t2 -75 + -30t + 16t2 = 30t + -30t + -16t2 + 16t2 Combine like terms: 30t + -30t = 0 -75 + -30t + 16t2 = 0 + -16t2 + 16t2 -75 + -30t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -75 + -30t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -4.6875 + -1.875t + t2 = 0 Move the constant term to the right: Add '4.6875' to each side of the equation. -4.6875 + -1.875t + 4.6875 + t2 = 0 + 4.6875 Reorder the terms: -4.6875 + 4.6875 + -1.875t + t2 = 0 + 4.6875 Combine like terms: -4.6875 + 4.6875 = 0.0000 0.0000 + -1.875t + t2 = 0 + 4.6875 -1.875t + t2 = 0 + 4.6875 Combine like terms: 0 + 4.6875 = 4.6875 -1.875t + t2 = 4.6875 The t term is -1.875t. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875t + 0.87890625 + t2 = 4.6875 + 0.87890625 Reorder the terms: 0.87890625 + -1.875t + t2 = 4.6875 + 0.87890625 Combine like terms: 4.6875 + 0.87890625 = 5.56640625 0.87890625 + -1.875t + t2 = 5.56640625 Factor a perfect square on the left side: (t + -0.9375)(t + -0.9375) = 5.56640625 Calculate the square root of the right side: 2.359323261 Break this problem into two subproblems by setting (t + -0.9375) equal to 2.359323261 and -2.359323261.Subproblem 1
t + -0.9375 = 2.359323261 Simplifying t + -0.9375 = 2.359323261 Reorder the terms: -0.9375 + t = 2.359323261 Solving -0.9375 + t = 2.359323261 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + t = 2.359323261 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + t = 2.359323261 + 0.9375 t = 2.359323261 + 0.9375 Combine like terms: 2.359323261 + 0.9375 = 3.296823261 t = 3.296823261 Simplifying t = 3.296823261Subproblem 2
t + -0.9375 = -2.359323261 Simplifying t + -0.9375 = -2.359323261 Reorder the terms: -0.9375 + t = -2.359323261 Solving -0.9375 + t = -2.359323261 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + t = -2.359323261 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + t = -2.359323261 + 0.9375 t = -2.359323261 + 0.9375 Combine like terms: -2.359323261 + 0.9375 = -1.421823261 t = -1.421823261 Simplifying t = -1.421823261Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.296823261, -1.421823261}
| 3w+2b=8 | | Y^2+8y-40= | | 2(x+4)=14-x | | 5(x+1)=3(3x-1) | | -.66(x-.66)=.11(x-.5) | | 2w+1b=5 | | (3x-6)=156 | | 1=-16t^2+30t+75 | | 4m-5m=3 | | 2x^3+5x^2-12xy^2= | | 3(1+5r)=19+7r | | 25/5*3 | | 10x-30=8x+6 | | 4+0.4x+.55x=.50 | | 2500=50x+50 | | 5(sinx)=1 | | x+15=2x+8 | | 4+0.4x+.55=50 | | 10x^3+8x^2=6x | | 4+.4x+.55=55 | | 15X-4Y=-2 | | -28+5a=7(4+5a)-2a | | 2m=180 | | y-19=6(x-3) | | 4sec(2X)-3=0 | | Y=-16t^2+30t+75 | | m+1+7m=17 | | -4-5r-7=-16 | | 2x^2-16x=-6x^2-5x-3 | | 13-x=7+x | | 30x^2-11x-1=0 | | 64-4x=16 |