If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8 = 4 + 22t + -16t2 Solving 8 = 4 + 22t + -16t2 Solving for variable 't'. Combine like terms: 8 + -4 = 4 4 + -22t + 16t2 = 4 + 22t + -16t2 + -4 + -22t + 16t2 Reorder the terms: 4 + -22t + 16t2 = 4 + -4 + 22t + -22t + -16t2 + 16t2 Combine like terms: 4 + -4 = 0 4 + -22t + 16t2 = 0 + 22t + -22t + -16t2 + 16t2 4 + -22t + 16t2 = 22t + -22t + -16t2 + 16t2 Combine like terms: 22t + -22t = 0 4 + -22t + 16t2 = 0 + -16t2 + 16t2 4 + -22t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 4 + -22t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -11t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -11t + 8t2)' equal to zero and attempt to solve: Simplifying 2 + -11t + 8t2 = 0 Solving 2 + -11t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.25 + -1.375t + t2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -1.375t + -0.25 + t2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -1.375t + t2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -1.375t + t2 = 0 + -0.25 -1.375t + t2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -1.375t + t2 = -0.25 The t term is -1.375t. Take half its coefficient (-0.6875). Square it (0.47265625) and add it to both sides. Add '0.47265625' to each side of the equation. -1.375t + 0.47265625 + t2 = -0.25 + 0.47265625 Reorder the terms: 0.47265625 + -1.375t + t2 = -0.25 + 0.47265625 Combine like terms: -0.25 + 0.47265625 = 0.22265625 0.47265625 + -1.375t + t2 = 0.22265625 Factor a perfect square on the left side: (t + -0.6875)(t + -0.6875) = 0.22265625 Calculate the square root of the right side: 0.471864652 Break this problem into two subproblems by setting (t + -0.6875) equal to 0.471864652 and -0.471864652.Subproblem 1
t + -0.6875 = 0.471864652 Simplifying t + -0.6875 = 0.471864652 Reorder the terms: -0.6875 + t = 0.471864652 Solving -0.6875 + t = 0.471864652 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.6875' to each side of the equation. -0.6875 + 0.6875 + t = 0.471864652 + 0.6875 Combine like terms: -0.6875 + 0.6875 = 0.0000 0.0000 + t = 0.471864652 + 0.6875 t = 0.471864652 + 0.6875 Combine like terms: 0.471864652 + 0.6875 = 1.159364652 t = 1.159364652 Simplifying t = 1.159364652Subproblem 2
t + -0.6875 = -0.471864652 Simplifying t + -0.6875 = -0.471864652 Reorder the terms: -0.6875 + t = -0.471864652 Solving -0.6875 + t = -0.471864652 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.6875' to each side of the equation. -0.6875 + 0.6875 + t = -0.471864652 + 0.6875 Combine like terms: -0.6875 + 0.6875 = 0.0000 0.0000 + t = -0.471864652 + 0.6875 t = -0.471864652 + 0.6875 Combine like terms: -0.471864652 + 0.6875 = 0.215635348 t = 0.215635348 Simplifying t = 0.215635348Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.159364652, 0.215635348}Solution
t = {1.159364652, 0.215635348}
| 6X-44=14+4X | | 5x-18+4x+7=56 | | 9x^2=x(33+11x) | | 3b=(3+8)b-1b-8 | | 5x+6y-2x+y= | | -6*-9= | | -(-4-x)=4(x-6) | | -(-4-x)=4 | | 3(x-3)-4=4(x-7) | | 3(x-3)-4=d(x-7) | | 4(x+7)=10x-5 | | 4(-4-x)=3/4(x-6) | | -7y=-4x+30 | | 11cos(3x)=0 | | y=3(-1.2)+2 | | 1b*5d=5 | | 0.2x=50.96 | | u-8.73=3.2 | | -3(y+5)=12+2(y-3) | | r+e=5 | | 3x-10=45 | | 3x+2=-2x+-4 | | 25-12/3=n | | 4x+6=149 | | 12-3(5-x)=4(x-9) | | 4r(10)=100 | | 7x+12y=54 | | 5x-18+4x=7 | | 3x^2-15x+6.25=-9+6.25 | | 19x+rz=-37x+w | | 0.5(7d+4)=7-1.4d | | 10x-8x+5+85=180 |