If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 42t + -0.6t2 = 367.5 Solving 42t + -0.6t2 = 367.5 Solving for variable 't'. Reorder the terms: -367.5 + 42t + -0.6t2 = 367.5 + -367.5 Combine like terms: 367.5 + -367.5 = 0.0 -367.5 + 42t + -0.6t2 = 0.0 Begin completing the square. Divide all terms by -0.6 the coefficient of the squared term: Divide each side by '-0.6'. 612.5 + -70t + t2 = 0 Move the constant term to the right: Add '-612.5' to each side of the equation. 612.5 + -70t + -612.5 + t2 = 0 + -612.5 Reorder the terms: 612.5 + -612.5 + -70t + t2 = 0 + -612.5 Combine like terms: 612.5 + -612.5 = 0.0 0.0 + -70t + t2 = 0 + -612.5 -70t + t2 = 0 + -612.5 Combine like terms: 0 + -612.5 = -612.5 -70t + t2 = -612.5 The t term is -70t. Take half its coefficient (-35). Square it (1225) and add it to both sides. Add '1225' to each side of the equation. -70t + 1225 + t2 = -612.5 + 1225 Reorder the terms: 1225 + -70t + t2 = -612.5 + 1225 Combine like terms: -612.5 + 1225 = 612.5 1225 + -70t + t2 = 612.5 Factor a perfect square on the left side: (t + -35)(t + -35) = 612.5 Calculate the square root of the right side: 24.748737342 Break this problem into two subproblems by setting (t + -35) equal to 24.748737342 and -24.748737342.Subproblem 1
t + -35 = 24.748737342 Simplifying t + -35 = 24.748737342 Reorder the terms: -35 + t = 24.748737342 Solving -35 + t = 24.748737342 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + t = 24.748737342 + 35 Combine like terms: -35 + 35 = 0 0 + t = 24.748737342 + 35 t = 24.748737342 + 35 Combine like terms: 24.748737342 + 35 = 59.748737342 t = 59.748737342 Simplifying t = 59.748737342Subproblem 2
t + -35 = -24.748737342 Simplifying t + -35 = -24.748737342 Reorder the terms: -35 + t = -24.748737342 Solving -35 + t = -24.748737342 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + t = -24.748737342 + 35 Combine like terms: -35 + 35 = 0 0 + t = -24.748737342 + 35 t = -24.748737342 + 35 Combine like terms: -24.748737342 + 35 = 10.251262658 t = 10.251262658 Simplifying t = 10.251262658Solution
The solution to the problem is based on the solutions from the subproblems. t = {59.748737342, 10.251262658}
| 42t-0.6t^2=0 | | T=A-P/Pr | | 2√65/2 | | 8(x-3)-1=0.7 | | 1/4(8x-3)=2x-3 | | (4r-z)-(3r+1)=8 | | (2√65)/2 | | -4=2/5x | | 5y=-x+4 | | 4(3-2x)=2(-4x+6) | | x^2-6x+50=9 | | 5+6(x+1)=5x+17 | | 5+3(x+1)=5x+17 | | 2x^2+15=177 | | 15x^2-4=-7x | | x^2-6x+59=9 | | 10x+32=9x | | 3x=.5(4x+30) | | 4x-(10-x=15/2 | | a=3.14r^3 | | y=-2x^2+kx+3 | | 36w=576 | | 2a^3-22a^2=-60a | | 8x^2-80x+300=0 | | 3/7:5/6 | | 7/11*3/11 | | 3p^2-4=-6 | | -25=-4n | | 1/9*108 | | 4x+8-2x=4x+12 | | 9n^2-5=-99 | | Z(z+4)=12 |