If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -0.4t2 + 24t = 180 Reorder the terms: 24t + -0.4t2 = 180 Solving 24t + -0.4t2 = 180 Solving for variable 't'. Reorder the terms: -180 + 24t + -0.4t2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 24t + -0.4t2 = 0 Begin completing the square. Divide all terms by -0.4 the coefficient of the squared term: Divide each side by '-0.4'. 450 + -60t + t2 = 0 Move the constant term to the right: Add '-450' to each side of the equation. 450 + -60t + -450 + t2 = 0 + -450 Reorder the terms: 450 + -450 + -60t + t2 = 0 + -450 Combine like terms: 450 + -450 = 0 0 + -60t + t2 = 0 + -450 -60t + t2 = 0 + -450 Combine like terms: 0 + -450 = -450 -60t + t2 = -450 The t term is -60t. Take half its coefficient (-30). Square it (900) and add it to both sides. Add '900' to each side of the equation. -60t + 900 + t2 = -450 + 900 Reorder the terms: 900 + -60t + t2 = -450 + 900 Combine like terms: -450 + 900 = 450 900 + -60t + t2 = 450 Factor a perfect square on the left side: (t + -30)(t + -30) = 450 Calculate the square root of the right side: 21.213203436 Break this problem into two subproblems by setting (t + -30) equal to 21.213203436 and -21.213203436.Subproblem 1
t + -30 = 21.213203436 Simplifying t + -30 = 21.213203436 Reorder the terms: -30 + t = 21.213203436 Solving -30 + t = 21.213203436 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + t = 21.213203436 + 30 Combine like terms: -30 + 30 = 0 0 + t = 21.213203436 + 30 t = 21.213203436 + 30 Combine like terms: 21.213203436 + 30 = 51.213203436 t = 51.213203436 Simplifying t = 51.213203436Subproblem 2
t + -30 = -21.213203436 Simplifying t + -30 = -21.213203436 Reorder the terms: -30 + t = -21.213203436 Solving -30 + t = -21.213203436 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + t = -21.213203436 + 30 Combine like terms: -30 + 30 = 0 0 + t = -21.213203436 + 30 t = -21.213203436 + 30 Combine like terms: -21.213203436 + 30 = 8.786796564 t = 8.786796564 Simplifying t = 8.786796564Solution
The solution to the problem is based on the solutions from the subproblems. t = {51.213203436, 8.786796564}
| 5x-7=7x-37 | | x*y+8-2+42*78=45 | | -5x-5y=-2 | | -4.3x=-1.68 | | 3(8+8b)-6=210 | | 20x+35y=245000 | | 6=-3(-d+4) | | 2x-3+120=180 | | 4(5)-3=6+(-13) | | 3x+9x=3y | | (x/2)^2-(y/4)^2=1 | | 35=(u-6)+8u | | 52=-3x+-7 | | (9x+44)+(6x+3)=77 | | 16x=4y-180 | | -5(5-5n)=-150 | | 34.53=6+3.09s | | T=3k | | 4(5)-3=6+-13 | | 88888888=1009 | | x+8=4x-40 | | 6=34.53+3.09s | | 8(-5+2a)=-136 | | -115-9x=80+4x | | -6c-11=49 | | x^2+x+2y^2+3y-1=0 | | gx=6 | | -200=8(7-4x) | | 7w+17-12w= | | 17-12=x/-3 | | 8-4(x+2)=2(x-1)-7x+15 | | 5x+2(2x-17)=-79 |