If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 72 = -16t2 + 96t + 8 Reorder the terms: 72 = 8 + 96t + -16t2 Solving 72 = 8 + 96t + -16t2 Solving for variable 't'. Combine like terms: 72 + -8 = 64 64 + -96t + 16t2 = 8 + 96t + -16t2 + -8 + -96t + 16t2 Reorder the terms: 64 + -96t + 16t2 = 8 + -8 + 96t + -96t + -16t2 + 16t2 Combine like terms: 8 + -8 = 0 64 + -96t + 16t2 = 0 + 96t + -96t + -16t2 + 16t2 64 + -96t + 16t2 = 96t + -96t + -16t2 + 16t2 Combine like terms: 96t + -96t = 0 64 + -96t + 16t2 = 0 + -16t2 + 16t2 64 + -96t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 64 + -96t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(4 + -6t + t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(4 + -6t + t2)' equal to zero and attempt to solve: Simplifying 4 + -6t + t2 = 0 Solving 4 + -6t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -6t + -4 + t2 = 0 + -4 Reorder the terms: 4 + -4 + -6t + t2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6t + t2 = 0 + -4 -6t + t2 = 0 + -4 Combine like terms: 0 + -4 = -4 -6t + t2 = -4 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -4 + 9 Reorder the terms: 9 + -6t + t2 = -4 + 9 Combine like terms: -4 + 9 = 5 9 + -6t + t2 = 5 Factor a perfect square on the left side: (t + -3)(t + -3) = 5 Calculate the square root of the right side: 2.236067978 Break this problem into two subproblems by setting (t + -3) equal to 2.236067978 and -2.236067978.Subproblem 1
t + -3 = 2.236067978 Simplifying t + -3 = 2.236067978 Reorder the terms: -3 + t = 2.236067978 Solving -3 + t = 2.236067978 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = 2.236067978 + 3 Combine like terms: -3 + 3 = 0 0 + t = 2.236067978 + 3 t = 2.236067978 + 3 Combine like terms: 2.236067978 + 3 = 5.236067978 t = 5.236067978 Simplifying t = 5.236067978Subproblem 2
t + -3 = -2.236067978 Simplifying t + -3 = -2.236067978 Reorder the terms: -3 + t = -2.236067978 Solving -3 + t = -2.236067978 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = -2.236067978 + 3 Combine like terms: -3 + 3 = 0 0 + t = -2.236067978 + 3 t = -2.236067978 + 3 Combine like terms: -2.236067978 + 3 = 0.763932022 t = 0.763932022 Simplifying t = 0.763932022Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.236067978, 0.763932022}Solution
t = {5.236067978, 0.763932022}
| 11x+5+8x-15=90 | | 0.11(2x+40000)=27890 | | 6x+11x=24-2 | | 4/x=x/5 | | 112=-16t+96t+8 | | -4x^2+20=-27x-20 | | 8cos^2(x)-4cos(x)+3=0 | | 11(9-3h)=-8h-1 | | 0=-16t+96t-140 | | 14x15x1/3 | | 21k^2+5k+5=-6k+7 | | 8=-4/5x | | 9x+x=75 | | 1.2-3.4c=-5.6 | | 4(12g-8)-11g=3(3g+8) | | x^3+2x^2+16x+32=0 | | 2(h-1)=-3(h+4) | | 4x-7=-2+5 | | x/10=15/25 | | 26=x+3x | | x^2+x^2+4x+4=x^2+8x+16-7 | | -2(10-a)=36 | | 5x^2+9y^2=45 | | 5(x+14)=x+2.6 | | 8f-3(5-2f)=1-2f | | 552=R(42.3) | | 7^5/3t=18 | | -3/2*6 | | -2=45+7y | | 0.4(2x+.5)=3[0.2x+(-2)]-4 | | 9+36t-16t^2=h | | -3x/2(x-6) |