If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + -18t + 210 = 0 Reorder the terms: 210 + -18t + -16t2 = 0 Solving 210 + -18t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(105 + -9t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(105 + -9t + -8t2)' equal to zero and attempt to solve: Simplifying 105 + -9t + -8t2 = 0 Solving 105 + -9t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -13.125 + 1.125t + t2 = 0 Move the constant term to the right: Add '13.125' to each side of the equation. -13.125 + 1.125t + 13.125 + t2 = 0 + 13.125 Reorder the terms: -13.125 + 13.125 + 1.125t + t2 = 0 + 13.125 Combine like terms: -13.125 + 13.125 = 0.000 0.000 + 1.125t + t2 = 0 + 13.125 1.125t + t2 = 0 + 13.125 Combine like terms: 0 + 13.125 = 13.125 1.125t + t2 = 13.125 The t term is 1.125t. Take half its coefficient (0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. 1.125t + 0.31640625 + t2 = 13.125 + 0.31640625 Reorder the terms: 0.31640625 + 1.125t + t2 = 13.125 + 0.31640625 Combine like terms: 13.125 + 0.31640625 = 13.44140625 0.31640625 + 1.125t + t2 = 13.44140625 Factor a perfect square on the left side: (t + 0.5625)(t + 0.5625) = 13.44140625 Calculate the square root of the right side: 3.666252344 Break this problem into two subproblems by setting (t + 0.5625) equal to 3.666252344 and -3.666252344.Subproblem 1
t + 0.5625 = 3.666252344 Simplifying t + 0.5625 = 3.666252344 Reorder the terms: 0.5625 + t = 3.666252344 Solving 0.5625 + t = 3.666252344 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5625' to each side of the equation. 0.5625 + -0.5625 + t = 3.666252344 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + t = 3.666252344 + -0.5625 t = 3.666252344 + -0.5625 Combine like terms: 3.666252344 + -0.5625 = 3.103752344 t = 3.103752344 Simplifying t = 3.103752344Subproblem 2
t + 0.5625 = -3.666252344 Simplifying t + 0.5625 = -3.666252344 Reorder the terms: 0.5625 + t = -3.666252344 Solving 0.5625 + t = -3.666252344 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5625' to each side of the equation. 0.5625 + -0.5625 + t = -3.666252344 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + t = -3.666252344 + -0.5625 t = -3.666252344 + -0.5625 Combine like terms: -3.666252344 + -0.5625 = -4.228752344 t = -4.228752344 Simplifying t = -4.228752344Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.103752344, -4.228752344}Solution
t = {3.103752344, -4.228752344}
| 2-3/c-d | | 7m+7=1+7m | | 4x+43=8x+7 | | 10(-1.8)-2=7(-1.8)-7.4 | | 320=5x+15 | | 12-x=x+2/-3 | | 64b^2=36 | | 1=0.2x-0.9x-34 | | 18/6=45/m | | 2x-16y=-20 | | 5tx-4y=10y | | x^2/3-3^1/3-4=0 | | 5.8x-4=4.8x | | 5x+y-2z=k | | 9z-z=-1+2z-3-8 | | 3 = u4– 2 | | 6a+10b=360 | | 10y=4y+4 | | 8(4+x)=75 | | 2/7p=3/5 | | -5(z-2)+5z-4= | | -3=5x-4x+1 | | (2x+3)(x-11)=0 | | 2/3d+6=66 | | -3x+4x+5=1 | | graphy-7=0 | | y=6/7x | | iz^2-2z-2i=0 | | 5x-3-4x=-5-1 | | 3x+2y+cz=4 | | .8333(6x+12)+1=.6666(9x-3)+4 | | 5(4x+1)=10-(3x-3) |