If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 15 = -16t2 + 15t + 20 Reorder the terms: 15 = 20 + 15t + -16t2 Solving 15 = 20 + 15t + -16t2 Solving for variable 't'. Combine like terms: 15 + -20 = -5 -5 + -15t + 16t2 = 20 + 15t + -16t2 + -20 + -15t + 16t2 Reorder the terms: -5 + -15t + 16t2 = 20 + -20 + 15t + -15t + -16t2 + 16t2 Combine like terms: 20 + -20 = 0 -5 + -15t + 16t2 = 0 + 15t + -15t + -16t2 + 16t2 -5 + -15t + 16t2 = 15t + -15t + -16t2 + 16t2 Combine like terms: 15t + -15t = 0 -5 + -15t + 16t2 = 0 + -16t2 + 16t2 -5 + -15t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -5 + -15t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.3125 + -0.9375t + t2 = 0 Move the constant term to the right: Add '0.3125' to each side of the equation. -0.3125 + -0.9375t + 0.3125 + t2 = 0 + 0.3125 Reorder the terms: -0.3125 + 0.3125 + -0.9375t + t2 = 0 + 0.3125 Combine like terms: -0.3125 + 0.3125 = 0.0000 0.0000 + -0.9375t + t2 = 0 + 0.3125 -0.9375t + t2 = 0 + 0.3125 Combine like terms: 0 + 0.3125 = 0.3125 -0.9375t + t2 = 0.3125 The t term is -0.9375t. Take half its coefficient (-0.46875). Square it (0.2197265625) and add it to both sides. Add '0.2197265625' to each side of the equation. -0.9375t + 0.2197265625 + t2 = 0.3125 + 0.2197265625 Reorder the terms: 0.2197265625 + -0.9375t + t2 = 0.3125 + 0.2197265625 Combine like terms: 0.3125 + 0.2197265625 = 0.5322265625 0.2197265625 + -0.9375t + t2 = 0.5322265625 Factor a perfect square on the left side: (t + -0.46875)(t + -0.46875) = 0.5322265625 Calculate the square root of the right side: 0.729538596 Break this problem into two subproblems by setting (t + -0.46875) equal to 0.729538596 and -0.729538596.Subproblem 1
t + -0.46875 = 0.729538596 Simplifying t + -0.46875 = 0.729538596 Reorder the terms: -0.46875 + t = 0.729538596 Solving -0.46875 + t = 0.729538596 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.46875' to each side of the equation. -0.46875 + 0.46875 + t = 0.729538596 + 0.46875 Combine like terms: -0.46875 + 0.46875 = 0.00000 0.00000 + t = 0.729538596 + 0.46875 t = 0.729538596 + 0.46875 Combine like terms: 0.729538596 + 0.46875 = 1.198288596 t = 1.198288596 Simplifying t = 1.198288596Subproblem 2
t + -0.46875 = -0.729538596 Simplifying t + -0.46875 = -0.729538596 Reorder the terms: -0.46875 + t = -0.729538596 Solving -0.46875 + t = -0.729538596 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.46875' to each side of the equation. -0.46875 + 0.46875 + t = -0.729538596 + 0.46875 Combine like terms: -0.46875 + 0.46875 = 0.00000 0.00000 + t = -0.729538596 + 0.46875 t = -0.729538596 + 0.46875 Combine like terms: -0.729538596 + 0.46875 = -0.260788596 t = -0.260788596 Simplifying t = -0.260788596Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.198288596, -0.260788596}
| -8=2x*4 | | -4(2x-3u-4)= | | x^2+x^2=30 | | 4/5x10/9 | | (-6)(-5/2 | | x+33=48 | | 3(y-4)-5y=-22 | | F(x)=-4+4 | | 8a+a*3a= | | 7.8b-2.11=-42.7 | | 34-4=x | | -8y=8-10y | | 3*4x=11 | | 156=12-v | | -27=9u | | x/11=88 | | 10x+20y+30z=63550 | | 7x-2+2x+8+27=108 | | 74=2x+2(5+3x) | | 9-6x-8x= | | 6(2x+1)=4+7x | | 6x^3-5ax^2+3a^2x+a^3=0 | | 20x+35y=315 | | 8x^2+55=77 | | 9=1.5(1)+b | | 2x-11=2x+16 | | -48+2y=8y | | 6p+pq-5pr= | | -48+27=8y | | X^2+8x-20y=-56 | | 30=(1+0.0666666x)x | | 12n=3(4n+20) |