If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -5t2 + 5t + 24 = 0 Reorder the terms: 24 + 5t + -5t2 = 0 Solving 24 + 5t + -5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. -4.8 + -1t + t2 = 0 Move the constant term to the right: Add '4.8' to each side of the equation. -4.8 + -1t + 4.8 + t2 = 0 + 4.8 Reorder the terms: -4.8 + 4.8 + -1t + t2 = 0 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + -1t + t2 = 0 + 4.8 -1t + t2 = 0 + 4.8 Combine like terms: 0 + 4.8 = 4.8 -1t + t2 = 4.8 The t term is -1t. 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. -1t + 0.25 + t2 = 4.8 + 0.25 Reorder the terms: 0.25 + -1t + t2 = 4.8 + 0.25 Combine like terms: 4.8 + 0.25 = 5.05 0.25 + -1t + t2 = 5.05 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = 5.05 Calculate the square root of the right side: 2.247220505 Break this problem into two subproblems by setting (t + -0.5) equal to 2.247220505 and -2.247220505.Subproblem 1
t + -0.5 = 2.247220505 Simplifying t + -0.5 = 2.247220505 Reorder the terms: -0.5 + t = 2.247220505 Solving -0.5 + t = 2.247220505 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 = 2.247220505 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + t = 2.247220505 + 0.5 t = 2.247220505 + 0.5 Combine like terms: 2.247220505 + 0.5 = 2.747220505 t = 2.747220505 Simplifying t = 2.747220505Subproblem 2
t + -0.5 = -2.247220505 Simplifying t + -0.5 = -2.247220505 Reorder the terms: -0.5 + t = -2.247220505 Solving -0.5 + t = -2.247220505 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 = -2.247220505 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + t = -2.247220505 + 0.5 t = -2.247220505 + 0.5 Combine like terms: -2.247220505 + 0.5 = -1.747220505 t = -1.747220505 Simplifying t = -1.747220505Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.747220505, -1.747220505}
| 7x+-3(5-x)=10 | | y=4(-2)-1 | | 1/2x=1/8 | | 3(-4b+5)=111 | | -5t^2+5t+24=t | | 78=0.5x+(x-6) | | i=w/h^2*703 | | 2(10+x)=25 | | -3(4x+3)+24x+4=43 | | z=x-u/s | | -3(4x+3)+24x+4=42 | | 4(1y-3)=24 | | 6+m/3=4 | | 7-2y=9 | | (x-7)(x-7)=60 | | -7(1x+4)=-84 | | 2x-2=2x+12 | | 10x-7=9x-3 | | 3m-m=12 | | (y-4/9)=(5/6) | | k+4+3k+5= | | 4(7x-7)=168 | | 26-47=4(x-1)-5 | | 3m-m=20 | | x-1/2(-4x-14) | | 2x+5=73 | | 6y+3x=10 | | 4y-1=-(-4+1) | | -4(5+2x)=-20 | | 0.2(x+6)+1.2(x-5)= | | (12x-88)+(11x-77)=-138 | | 1.3x+4.4=0.7x-0.52 |