If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 40t + 50 = 0 Reorder the terms: 50 + 40t + -16t2 = 0 Solving 50 + 40t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 20t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + 20t + -8t2)' equal to zero and attempt to solve: Simplifying 25 + 20t + -8t2 = 0 Solving 25 + 20t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -3.125 + -2.5t + t2 = 0 Move the constant term to the right: Add '3.125' to each side of the equation. -3.125 + -2.5t + 3.125 + t2 = 0 + 3.125 Reorder the terms: -3.125 + 3.125 + -2.5t + t2 = 0 + 3.125 Combine like terms: -3.125 + 3.125 = 0.000 0.000 + -2.5t + t2 = 0 + 3.125 -2.5t + t2 = 0 + 3.125 Combine like terms: 0 + 3.125 = 3.125 -2.5t + t2 = 3.125 The t term is -2.5t. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5t + 1.5625 + t2 = 3.125 + 1.5625 Reorder the terms: 1.5625 + -2.5t + t2 = 3.125 + 1.5625 Combine like terms: 3.125 + 1.5625 = 4.6875 1.5625 + -2.5t + t2 = 4.6875 Factor a perfect square on the left side: (t + -1.25)(t + -1.25) = 4.6875 Calculate the square root of the right side: 2.165063509 Break this problem into two subproblems by setting (t + -1.25) equal to 2.165063509 and -2.165063509.Subproblem 1
t + -1.25 = 2.165063509 Simplifying t + -1.25 = 2.165063509 Reorder the terms: -1.25 + t = 2.165063509 Solving -1.25 + t = 2.165063509 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + t = 2.165063509 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + t = 2.165063509 + 1.25 t = 2.165063509 + 1.25 Combine like terms: 2.165063509 + 1.25 = 3.415063509 t = 3.415063509 Simplifying t = 3.415063509Subproblem 2
t + -1.25 = -2.165063509 Simplifying t + -1.25 = -2.165063509 Reorder the terms: -1.25 + t = -2.165063509 Solving -1.25 + t = -2.165063509 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + t = -2.165063509 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + t = -2.165063509 + 1.25 t = -2.165063509 + 1.25 Combine like terms: -2.165063509 + 1.25 = -0.915063509 t = -0.915063509 Simplifying t = -0.915063509Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.415063509, -0.915063509}Solution
t = {3.415063509, -0.915063509}
| -16t+40t+50=0 | | 4p+9q+5p-3q=0 | | (4y-5u-3)(2y-3u)= | | -5a/7=75 | | 0.9-0.7x=-4 | | 2n-9n=-63 | | 12+1.50x=21 | | 105-6x=9+15 | | (10x^4y^4/5x^5y^-3)^2 | | X+y+z=x | | 4.8q-2.4-4.9q=1.1q-3.9 | | 3x+80+2x=180 | | 1/2m+1/4+3/4m=12 | | 9ln(6x)=18 | | 5x-y=3x-5 | | m/m-6-7=6/m-6 | | x=3992.75-3731 | | 7x+30=40y | | 0.03x=3.5 | | 0.03x=3.1 | | 0.03X=31 | | 2x+(x+5/7)=6 | | -3(x+3)=-9 | | 5x+3y=12.75 | | x+(2x+3)=800 | | x+(2x+3)= | | 3x+4y-2z=17 | | b4/2=5 | | 40x^5-2x^4+24x^2/-8x^2 | | (((13x3)-3)/3) | | 5/x=1/6 | | 6+4m=138 |