If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 30 = t(4.9t + 5) Reorder the terms: 30 = t(5 + 4.9t) 30 = (5 * t + 4.9t * t) 30 = (5t + 4.9t2) Solving 30 = 5t + 4.9t2 Solving for variable 't'. Reorder the terms: 30 + -5t + -4.9t2 = 5t + -5t + 4.9t2 + -4.9t2 Combine like terms: 5t + -5t = 0 30 + -5t + -4.9t2 = 0 + 4.9t2 + -4.9t2 30 + -5t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 30 + -5t + -4.9t2 = 0.0 Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. -6.12244898 + 1.020408163t + t2 = 0 Move the constant term to the right: Add '6.12244898' to each side of the equation. -6.12244898 + 1.020408163t + 6.12244898 + t2 = 0 + 6.12244898 Reorder the terms: -6.12244898 + 6.12244898 + 1.020408163t + t2 = 0 + 6.12244898 Combine like terms: -6.12244898 + 6.12244898 = 0.00000000 0.00000000 + 1.020408163t + t2 = 0 + 6.12244898 1.020408163t + t2 = 0 + 6.12244898 Combine like terms: 0 + 6.12244898 = 6.12244898 1.020408163t + t2 = 6.12244898 The t term is 1.020408163t. Take half its coefficient (0.5102040815). Square it (0.2603082048) and add it to both sides. Add '0.2603082048' to each side of the equation. 1.020408163t + 0.2603082048 + t2 = 6.12244898 + 0.2603082048 Reorder the terms: 0.2603082048 + 1.020408163t + t2 = 6.12244898 + 0.2603082048 Combine like terms: 6.12244898 + 0.2603082048 = 6.3827571848 0.2603082048 + 1.020408163t + t2 = 6.3827571848 Factor a perfect square on the left side: (t + 0.5102040815)(t + 0.5102040815) = 6.3827571848 Calculate the square root of the right side: 2.526411919 Break this problem into two subproblems by setting (t + 0.5102040815) equal to 2.526411919 and -2.526411919.Subproblem 1
t + 0.5102040815 = 2.526411919 Simplifying t + 0.5102040815 = 2.526411919 Reorder the terms: 0.5102040815 + t = 2.526411919 Solving 0.5102040815 + t = 2.526411919 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5102040815' to each side of the equation. 0.5102040815 + -0.5102040815 + t = 2.526411919 + -0.5102040815 Combine like terms: 0.5102040815 + -0.5102040815 = 0.0000000000 0.0000000000 + t = 2.526411919 + -0.5102040815 t = 2.526411919 + -0.5102040815 Combine like terms: 2.526411919 + -0.5102040815 = 2.0162078375 t = 2.0162078375 Simplifying t = 2.0162078375Subproblem 2
t + 0.5102040815 = -2.526411919 Simplifying t + 0.5102040815 = -2.526411919 Reorder the terms: 0.5102040815 + t = -2.526411919 Solving 0.5102040815 + t = -2.526411919 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5102040815' to each side of the equation. 0.5102040815 + -0.5102040815 + t = -2.526411919 + -0.5102040815 Combine like terms: 0.5102040815 + -0.5102040815 = 0.0000000000 0.0000000000 + t = -2.526411919 + -0.5102040815 t = -2.526411919 + -0.5102040815 Combine like terms: -2.526411919 + -0.5102040815 = -3.0366160005 t = -3.0366160005 Simplifying t = -3.0366160005Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.0162078375, -3.0366160005}
| 4+7x=2x^2 | | 5x-4(x+7)=4-3x+5(x-3) | | -5-36= | | .484= | | 9x^2-24x-180=0 | | -5x=34 | | 0=4x^2-x^3 | | g(x)=5-2(3x+2) | | 1+(2-3)+10= | | Ax+3xy=33 | | 88+(88+11)=x | | X^2+20x+39=0 | | 3x+20+2x+5=180 | | 4x^2-48=16 | | 5x-6=5x+4 | | 7x-7y=(x-y) | | 2.25-x^2=0 | | a-1.5a+12=10 | | p-33=89 | | -4=2t-12 | | 7x-8+2x-10=9 | | X^2+22x-37=0 | | 64-g^2=0 | | 19w+16=28+4w+3 | | -4n^2+68n=72 | | -4n^2+68k=72 | | x-0.2x=600 | | 5(x-3)+18=49(x+2) | | 2(12x)+(7x+30)2= | | 3(m-n)+5n-7n= | | D^2-17d-41=0 | | 12x+12x+7x+30+7x+30= |