If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 90 = 45t + -4.9t2 Solving 90 = 45t + -4.9t2 Solving for variable 't'. Reorder the terms: 90 + -45t + 4.9t2 = 45t + -45t + -4.9t2 + 4.9t2 Combine like terms: 45t + -45t = 0 90 + -45t + 4.9t2 = 0 + -4.9t2 + 4.9t2 90 + -45t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 90 + -45t + 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'. 18.36734694 + -9.183673469t + t2 = 0 Move the constant term to the right: Add '-18.36734694' to each side of the equation. 18.36734694 + -9.183673469t + -18.36734694 + t2 = 0 + -18.36734694 Reorder the terms: 18.36734694 + -18.36734694 + -9.183673469t + t2 = 0 + -18.36734694 Combine like terms: 18.36734694 + -18.36734694 = 0.00000000 0.00000000 + -9.183673469t + t2 = 0 + -18.36734694 -9.183673469t + t2 = 0 + -18.36734694 Combine like terms: 0 + -18.36734694 = -18.36734694 -9.183673469t + t2 = -18.36734694 The t term is -9.183673469t. Take half its coefficient (-4.591836735). Square it (21.08496460) and add it to both sides. Add '21.08496460' to each side of the equation. -9.183673469t + 21.08496460 + t2 = -18.36734694 + 21.08496460 Reorder the terms: 21.08496460 + -9.183673469t + t2 = -18.36734694 + 21.08496460 Combine like terms: -18.36734694 + 21.08496460 = 2.71761766 21.08496460 + -9.183673469t + t2 = 2.71761766 Factor a perfect square on the left side: (t + -4.591836735)(t + -4.591836735) = 2.71761766 Calculate the square root of the right side: 1.648519839 Break this problem into two subproblems by setting (t + -4.591836735) equal to 1.648519839 and -1.648519839.Subproblem 1
t + -4.591836735 = 1.648519839 Simplifying t + -4.591836735 = 1.648519839 Reorder the terms: -4.591836735 + t = 1.648519839 Solving -4.591836735 + t = 1.648519839 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.591836735' to each side of the equation. -4.591836735 + 4.591836735 + t = 1.648519839 + 4.591836735 Combine like terms: -4.591836735 + 4.591836735 = 0.000000000 0.000000000 + t = 1.648519839 + 4.591836735 t = 1.648519839 + 4.591836735 Combine like terms: 1.648519839 + 4.591836735 = 6.240356574 t = 6.240356574 Simplifying t = 6.240356574Subproblem 2
t + -4.591836735 = -1.648519839 Simplifying t + -4.591836735 = -1.648519839 Reorder the terms: -4.591836735 + t = -1.648519839 Solving -4.591836735 + t = -1.648519839 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.591836735' to each side of the equation. -4.591836735 + 4.591836735 + t = -1.648519839 + 4.591836735 Combine like terms: -4.591836735 + 4.591836735 = 0.000000000 0.000000000 + t = -1.648519839 + 4.591836735 t = -1.648519839 + 4.591836735 Combine like terms: -1.648519839 + 4.591836735 = 2.943316896 t = 2.943316896 Simplifying t = 2.943316896Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.240356574, 2.943316896}
| -4+10=-2(3y+1) | | 156=4x^2+x^2 | | =4x-2x+20 | | -2=-5-6n+11 | | 224-2x=43x+19 | | 78=(4x+x) | | 10-12x=65+x | | 10-3x=2x-9x+40 | | y^2-5y-8=-5y+1 | | 5x+18=14x-63x | | 3x+5x+11=17 | | -4.9x^2-17.5x+60=0 | | 8(-m^3)=0 | | [-7]= | | 3y-3x=3 | | 4x+x=156 | | -7n=25 | | -7(5x-9)=343 | | (x+y)(2x-y)= | | -25-2x=10x | | 7.2m+2m-m=26.24 | | 2x+7=89-10x | | 9x-5=3x-5 | | 200x+100=200x+100 | | 101-7x=29x+17 | | -3.1256x=13.44008 | | 3y-4-6=15 | | 3u+1=0 | | 3(x-1078)= | | -5(3x-2)=-2(10+6)-3 | | (3x+2y)(5x+7y)= | | -4.7603x=33.58726 |