If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5 = -16t2 + -15t + 15 Reorder the terms: 5 = 15 + -15t + -16t2 Solving 5 = 15 + -15t + -16t2 Solving for variable 't'. Combine like terms: 5 + -15 = -10 -10 + 15t + 16t2 = 15 + -15t + -16t2 + -15 + 15t + 16t2 Reorder the terms: -10 + 15t + 16t2 = 15 + -15 + -15t + 15t + -16t2 + 16t2 Combine like terms: 15 + -15 = 0 -10 + 15t + 16t2 = 0 + -15t + 15t + -16t2 + 16t2 -10 + 15t + 16t2 = -15t + 15t + -16t2 + 16t2 Combine like terms: -15t + 15t = 0 -10 + 15t + 16t2 = 0 + -16t2 + 16t2 -10 + 15t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -10 + 15t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.625 + 0.9375t + t2 = 0 Move the constant term to the right: Add '0.625' to each side of the equation. -0.625 + 0.9375t + 0.625 + t2 = 0 + 0.625 Reorder the terms: -0.625 + 0.625 + 0.9375t + t2 = 0 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + 0.9375t + t2 = 0 + 0.625 0.9375t + t2 = 0 + 0.625 Combine like terms: 0 + 0.625 = 0.625 0.9375t + t2 = 0.625 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 = 0.625 + 0.2197265625 Reorder the terms: 0.2197265625 + 0.9375t + t2 = 0.625 + 0.2197265625 Combine like terms: 0.625 + 0.2197265625 = 0.8447265625 0.2197265625 + 0.9375t + t2 = 0.8447265625 Factor a perfect square on the left side: (t + 0.46875)(t + 0.46875) = 0.8447265625 Calculate the square root of the right side: 0.919090073 Break this problem into two subproblems by setting (t + 0.46875) equal to 0.919090073 and -0.919090073.Subproblem 1
t + 0.46875 = 0.919090073 Simplifying t + 0.46875 = 0.919090073 Reorder the terms: 0.46875 + t = 0.919090073 Solving 0.46875 + t = 0.919090073 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 = 0.919090073 + -0.46875 Combine like terms: 0.46875 + -0.46875 = 0.00000 0.00000 + t = 0.919090073 + -0.46875 t = 0.919090073 + -0.46875 Combine like terms: 0.919090073 + -0.46875 = 0.450340073 t = 0.450340073 Simplifying t = 0.450340073Subproblem 2
t + 0.46875 = -0.919090073 Simplifying t + 0.46875 = -0.919090073 Reorder the terms: 0.46875 + t = -0.919090073 Solving 0.46875 + t = -0.919090073 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 = -0.919090073 + -0.46875 Combine like terms: 0.46875 + -0.46875 = 0.00000 0.00000 + t = -0.919090073 + -0.46875 t = -0.919090073 + -0.46875 Combine like terms: -0.919090073 + -0.46875 = -1.387840073 t = -1.387840073 Simplifying t = -1.387840073Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.450340073, -1.387840073}
| 2=6-2s | | 3r+2.5p= | | 2x-43=62-5x | | 7x^2-8x+12=0 | | 8*x+5=5*x-13 | | 3x-1=x-14 | | 4a-6=30 | | 1/3m-10=11 | | 7-2(n-4)=3n-5n+15 | | 7+8x=33 | | -140=-4(7-7m) | | 2(x-12)=-41+4(4x-1) | | p/8=11 | | 12x+40+8x+10=180 | | 12x+40+8x+10=360 | | 3x^2-23x+48=0 | | -3x^2+17x=20 | | -10x+9y=-7 | | -167=1+6(-8v-4) | | -107+10x=-9+121 | | 5x-3+2=10 | | 12ax+x= | | z/6=-8 | | (-6+2i)(-5-4i)=0 | | 5(-3+5v)=110 | | 2d^2-10d=8 | | 3(7+5k)= | | -10-7x=-3-50 | | 8x^7-57x^6+96x^5=0 | | 1/3(14y-6) | | 7(1+7p)-8=244 | | -2(x+3)-1=-9 |