If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = -16t2 + 14t + 7.6 Reorder the terms: 10 = 7.6 + 14t + -16t2 Solving 10 = 7.6 + 14t + -16t2 Solving for variable 't'. Combine like terms: 10 + -7.6 = 2.4 2.4 + -14t + 16t2 = 7.6 + 14t + -16t2 + -7.6 + -14t + 16t2 Reorder the terms: 2.4 + -14t + 16t2 = 7.6 + -7.6 + 14t + -14t + -16t2 + 16t2 Combine like terms: 7.6 + -7.6 = 0.0 2.4 + -14t + 16t2 = 0.0 + 14t + -14t + -16t2 + 16t2 2.4 + -14t + 16t2 = 14t + -14t + -16t2 + 16t2 Combine like terms: 14t + -14t = 0 2.4 + -14t + 16t2 = 0 + -16t2 + 16t2 2.4 + -14t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 2.4 + -14t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.15 + -0.875t + t2 = 0 Move the constant term to the right: Add '-0.15' to each side of the equation. 0.15 + -0.875t + -0.15 + t2 = 0 + -0.15 Reorder the terms: 0.15 + -0.15 + -0.875t + t2 = 0 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.875t + t2 = 0 + -0.15 -0.875t + t2 = 0 + -0.15 Combine like terms: 0 + -0.15 = -0.15 -0.875t + t2 = -0.15 The t term is -0.875t. Take half its coefficient (-0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. -0.875t + 0.19140625 + t2 = -0.15 + 0.19140625 Reorder the terms: 0.19140625 + -0.875t + t2 = -0.15 + 0.19140625 Combine like terms: -0.15 + 0.19140625 = 0.04140625 0.19140625 + -0.875t + t2 = 0.04140625 Factor a perfect square on the left side: (t + -0.4375)(t + -0.4375) = 0.04140625 Calculate the square root of the right side: 0.203485257 Break this problem into two subproblems by setting (t + -0.4375) equal to 0.203485257 and -0.203485257.Subproblem 1
t + -0.4375 = 0.203485257 Simplifying t + -0.4375 = 0.203485257 Reorder the terms: -0.4375 + t = 0.203485257 Solving -0.4375 + t = 0.203485257 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.4375' to each side of the equation. -0.4375 + 0.4375 + t = 0.203485257 + 0.4375 Combine like terms: -0.4375 + 0.4375 = 0.0000 0.0000 + t = 0.203485257 + 0.4375 t = 0.203485257 + 0.4375 Combine like terms: 0.203485257 + 0.4375 = 0.640985257 t = 0.640985257 Simplifying t = 0.640985257Subproblem 2
t + -0.4375 = -0.203485257 Simplifying t + -0.4375 = -0.203485257 Reorder the terms: -0.4375 + t = -0.203485257 Solving -0.4375 + t = -0.203485257 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.4375' to each side of the equation. -0.4375 + 0.4375 + t = -0.203485257 + 0.4375 Combine like terms: -0.4375 + 0.4375 = 0.0000 0.0000 + t = -0.203485257 + 0.4375 t = -0.203485257 + 0.4375 Combine like terms: -0.203485257 + 0.4375 = 0.234014743 t = 0.234014743 Simplifying t = 0.234014743Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.640985257, 0.234014743}
| x/8-13=x/8 | | 4r^2-7=49 | | (20+15)20=(26+x)26 | | (-6/7)*(-2/7) | | 30+2x=40 | | 3x+6=15x-66 | | -16t^2+12t-2.5=0 | | (15+20)15=(x+26)x | | x*1.3=26 | | 15*x=20 | | 0.333(9a+27)=-3a+6a+2 | | 7(a+1)=6a+12+a | | 3x+13y=17 | | 5.7-4f=1.2 | | 6x+8y=60.9 | | 3(k-2)=.25(12k+5) | | Cos(x)/cot(x) | | -6x+2=22 | | 2+9lnx=65 | | .85*(1360-1210)-(1-.85)*1210=x | | 1.6+g=44 | | .66y-9=2y+3 | | 2(a+2)+4a=9a+2-4 | | 7(g+-6)=9g+-2g-42 | | 9.4-4.1= | | x(3x-11)=70 | | 4x^2+4x^2= | | (2*x^2+9*x+12)=(3*x^2+8*x+12) | | 2(x-1)+9=2(x-1)+11 | | 2x+22=6x-18 | | -2=x+y | | 7(g*-6)=9g+-2g-42 |