If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4 = -16t2 + 22t + 0 Reorder the terms: 4 = 0 + 22t + -16t2 Remove the zero: 4 = 22t + -16t2 Solving 4 = 22t + -16t2 Solving for variable 't'. Reorder the terms: 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}
| y=4(10)+3 | | 7x^2-1=23 | | 49n^2+35n-24=0 | | 2t-2=22-t | | 4=-16t+22t+0 | | .5x=30+x | | 3(c+6)=6+c | | y=4(5)+3 | | 60=0+68.6t | | 180-p=116 | | 4(25x+3)=-188 | | 20x^3=3x^2+2x | | 6r-3=51 | | 0=2d+10-4c | | 7b^2-33b-10=0 | | 4b-7=1 | | 9-6+(-7)-(-8)+(5)-2= | | 106.76=3.14*r^2 | | 4-6(-6)=40 | | .2x-5+.5=.7 | | -3b=5b-64 | | 3w-5=4 | | 6c+2d=-5 | | -(2+3x)-4(-5-x)=20 | | 20x+y=110 | | -3b=-5b-64 | | 14b^2-38b-10=0 | | -4a+14=30 | | (7(8-2)+9)-(13-2(11-6)+1)= | | 0=-16t^2+62t+2 | | -3b=-5b+64 | | 2s+3=48 |