If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6 = -16t2 + -1t + 29 Reorder the terms: 6 = 29 + -1t + -16t2 Solving 6 = 29 + -1t + -16t2 Solving for variable 't'. Combine like terms: 6 + -29 = -23 -23 + t + 16t2 = 29 + -1t + -16t2 + -29 + t + 16t2 Reorder the terms: -23 + t + 16t2 = 29 + -29 + -1t + t + -16t2 + 16t2 Combine like terms: 29 + -29 = 0 -23 + t + 16t2 = 0 + -1t + t + -16t2 + 16t2 -23 + t + 16t2 = -1t + t + -16t2 + 16t2 Combine like terms: -1t + t = 0 -23 + t + 16t2 = 0 + -16t2 + 16t2 -23 + t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -23 + t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -1.4375 + 0.0625t + t2 = 0 Move the constant term to the right: Add '1.4375' to each side of the equation. -1.4375 + 0.0625t + 1.4375 + t2 = 0 + 1.4375 Reorder the terms: -1.4375 + 1.4375 + 0.0625t + t2 = 0 + 1.4375 Combine like terms: -1.4375 + 1.4375 = 0.0000 0.0000 + 0.0625t + t2 = 0 + 1.4375 0.0625t + t2 = 0 + 1.4375 Combine like terms: 0 + 1.4375 = 1.4375 0.0625t + t2 = 1.4375 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.0625t + 0.25 + t2 = 1.4375 + 0.25 Reorder the terms: 0.25 + 0.0625t + t2 = 1.4375 + 0.25 Combine like terms: 1.4375 + 0.25 = 1.6875 0.25 + 0.0625t + t2 = 1.6875 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = 1.6875 Calculate the square root of the right side: 1.299038106 Break this problem into two subproblems by setting (t + 0.5) equal to 1.299038106 and -1.299038106.Subproblem 1
t + 0.5 = 1.299038106 Simplifying t + 0.5 = 1.299038106 Reorder the terms: 0.5 + t = 1.299038106 Solving 0.5 + t = 1.299038106 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = 1.299038106 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = 1.299038106 + -0.5 t = 1.299038106 + -0.5 Combine like terms: 1.299038106 + -0.5 = 0.799038106 t = 0.799038106 Simplifying t = 0.799038106Subproblem 2
t + 0.5 = -1.299038106 Simplifying t + 0.5 = -1.299038106 Reorder the terms: 0.5 + t = -1.299038106 Solving 0.5 + t = -1.299038106 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = -1.299038106 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = -1.299038106 + -0.5 t = -1.299038106 + -0.5 Combine like terms: -1.299038106 + -0.5 = -1.799038106 t = -1.799038106 Simplifying t = -1.799038106Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.799038106, -1.799038106}
| 15/2.5 | | 180=(8x+21)+(7x-6) | | 3000-120x=4 | | 228/28 | | 3(5x+3)=15x+9 | | -12x+4=8x-46 | | -1+4(8k-8)= | | 0.18-0.02(x+1)=-0.05(1-x) | | 2(4x+2)=52 | | 4x+2=-2.84 | | y=-4/5x+16 | | 25-4x=2(-2x-15) | | 54a^3b^2/81a^3b^3 | | .5b+27=b-23 | | -x^2-x-182=0 | | 18+4c=2(2c+9) | | 6.5(0.84)-5+(0.84)-1.3= | | 6.5x-5+x-1.3= | | 6/x-7x/5=x/10 | | 7z-14z+10=35z-28 | | -5x+11y=23 | | 180=90+(4y-7)+(4y-7) | | 6x^2-24x-192=0 | | 4y+7x=2 | | 3+1=3 | | 3x^2+24x-144=0 | | y^3+6y^2+8y=0 | | (x^2+10x+9)=0 | | 3(4x+1)=2(5x-7) | | h=16t^2-66t-10 | | 12y=+53+17 | | 21=3(z+14) |