If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = 43t + -5t2 Solving 10 = 43t + -5t2 Solving for variable 't'. Reorder the terms: 10 + -43t + 5t2 = 43t + -43t + -5t2 + 5t2 Combine like terms: 43t + -43t = 0 10 + -43t + 5t2 = 0 + -5t2 + 5t2 10 + -43t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 10 + -43t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + -8.6t + t2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -8.6t + -2 + t2 = 0 + -2 Reorder the terms: 2 + -2 + -8.6t + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -8.6t + t2 = 0 + -2 -8.6t + t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -8.6t + t2 = -2 The t term is -8.6t. Take half its coefficient (-4.3). Square it (18.49) and add it to both sides. Add '18.49' to each side of the equation. -8.6t + 18.49 + t2 = -2 + 18.49 Reorder the terms: 18.49 + -8.6t + t2 = -2 + 18.49 Combine like terms: -2 + 18.49 = 16.49 18.49 + -8.6t + t2 = 16.49 Factor a perfect square on the left side: (t + -4.3)(t + -4.3) = 16.49 Calculate the square root of the right side: 4.060788101 Break this problem into two subproblems by setting (t + -4.3) equal to 4.060788101 and -4.060788101.Subproblem 1
t + -4.3 = 4.060788101 Simplifying t + -4.3 = 4.060788101 Reorder the terms: -4.3 + t = 4.060788101 Solving -4.3 + t = 4.060788101 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.3' to each side of the equation. -4.3 + 4.3 + t = 4.060788101 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + t = 4.060788101 + 4.3 t = 4.060788101 + 4.3 Combine like terms: 4.060788101 + 4.3 = 8.360788101 t = 8.360788101 Simplifying t = 8.360788101Subproblem 2
t + -4.3 = -4.060788101 Simplifying t + -4.3 = -4.060788101 Reorder the terms: -4.3 + t = -4.060788101 Solving -4.3 + t = -4.060788101 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.3' to each side of the equation. -4.3 + 4.3 + t = -4.060788101 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + t = -4.060788101 + 4.3 t = -4.060788101 + 4.3 Combine like terms: -4.060788101 + 4.3 = 0.239211899 t = 0.239211899 Simplifying t = 0.239211899Solution
The solution to the problem is based on the solutions from the subproblems. t = {8.360788101, 0.239211899}
| x/y-0.5=2.5 | | 4(4x-10)=100-60 | | n+8=-14 | | 13-3x=6x+4 | | 2.50x+4y=18 | | (1/4)sin^2(2x) | | 8x-15=6x+23 | | 2.50x+4y+18=60 | | Y+4=-10(x+4) | | 3(3x)+2(5)=600x-500 | | 200(-2y)+300(-2y)+900y+100y=0 | | Y+8=3(x+6) | | 0.5X-0.3=3.8 | | B/2-3=b/2 | | 3(3x)+2(5)= | | x^2-6x+9=-3x+30 | | 7x^2+17bx+6b^2=0 | | 9y=4.5x+3 | | -102+3x=45-4x | | (2x+14)+(x+34)=180 | | 3x-8=3(x-2)-2 | | Y+9=2(x+2) | | 3t+54=30-15t | | -6+3v=-18 | | 3x=1+20 | | 12x-4=6(2x+4) | | -8x-45=12-5x | | 7(-10-6x)=308 | | 7-2u=-13 | | -8x-45=12-5z | | 10x-9=2(5x-9) | | 4y+4=-4 |