If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 4.9t2 + 12t + -69 Reorder the terms: 0 = -69 + 12t + 4.9t2 Solving 0 = -69 + 12t + 4.9t2 Solving for variable 't'. Combine like terms: 0 + 69 = 69 69 + -12t + -4.9t2 = -69 + 12t + 4.9t2 + 69 + -12t + -4.9t2 Reorder the terms: 69 + -12t + -4.9t2 = -69 + 69 + 12t + -12t + 4.9t2 + -4.9t2 Combine like terms: -69 + 69 = 0 69 + -12t + -4.9t2 = 0 + 12t + -12t + 4.9t2 + -4.9t2 69 + -12t + -4.9t2 = 12t + -12t + 4.9t2 + -4.9t2 Combine like terms: 12t + -12t = 0 69 + -12t + -4.9t2 = 0 + 4.9t2 + -4.9t2 69 + -12t + -4.9t2 = 4.9t2 + -4.9t2 Combine like terms: 4.9t2 + -4.9t2 = 0.0 69 + -12t + -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'. -14.08163265 + 2.448979592t + t2 = 0 Move the constant term to the right: Add '14.08163265' to each side of the equation. -14.08163265 + 2.448979592t + 14.08163265 + t2 = 0 + 14.08163265 Reorder the terms: -14.08163265 + 14.08163265 + 2.448979592t + t2 = 0 + 14.08163265 Combine like terms: -14.08163265 + 14.08163265 = 0.00000000 0.00000000 + 2.448979592t + t2 = 0 + 14.08163265 2.448979592t + t2 = 0 + 14.08163265 Combine like terms: 0 + 14.08163265 = 14.08163265 2.448979592t + t2 = 14.08163265 The t term is 2.448979592t. Take half its coefficient (1.224489796). Square it (1.499375261) and add it to both sides. Add '1.499375261' to each side of the equation. 2.448979592t + 1.499375261 + t2 = 14.08163265 + 1.499375261 Reorder the terms: 1.499375261 + 2.448979592t + t2 = 14.08163265 + 1.499375261 Combine like terms: 14.08163265 + 1.499375261 = 15.581007911 1.499375261 + 2.448979592t + t2 = 15.581007911 Factor a perfect square on the left side: (t + 1.224489796)(t + 1.224489796) = 15.581007911 Calculate the square root of the right side: 3.947278545 Break this problem into two subproblems by setting (t + 1.224489796) equal to 3.947278545 and -3.947278545.Subproblem 1
t + 1.224489796 = 3.947278545 Simplifying t + 1.224489796 = 3.947278545 Reorder the terms: 1.224489796 + t = 3.947278545 Solving 1.224489796 + t = 3.947278545 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.224489796' to each side of the equation. 1.224489796 + -1.224489796 + t = 3.947278545 + -1.224489796 Combine like terms: 1.224489796 + -1.224489796 = 0.000000000 0.000000000 + t = 3.947278545 + -1.224489796 t = 3.947278545 + -1.224489796 Combine like terms: 3.947278545 + -1.224489796 = 2.722788749 t = 2.722788749 Simplifying t = 2.722788749Subproblem 2
t + 1.224489796 = -3.947278545 Simplifying t + 1.224489796 = -3.947278545 Reorder the terms: 1.224489796 + t = -3.947278545 Solving 1.224489796 + t = -3.947278545 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.224489796' to each side of the equation. 1.224489796 + -1.224489796 + t = -3.947278545 + -1.224489796 Combine like terms: 1.224489796 + -1.224489796 = 0.000000000 0.000000000 + t = -3.947278545 + -1.224489796 t = -3.947278545 + -1.224489796 Combine like terms: -3.947278545 + -1.224489796 = -5.171768341 t = -5.171768341 Simplifying t = -5.171768341Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.722788749, -5.171768341}
| 3xsquared-6x+2=14 | | 4x(x+5)=4x^2+10 | | 3a^2+9a+6= | | x=84+(-14)5 | | 0.5x-0.4(-19)=3.6 | | X+4.3=12.8 | | 2(84+(-14y))-7y=-7 | | 9m-3+4m= | | Cot^2x+9=12 | | X(3x+2)=20 | | 2ab+7ab= | | 3y+15=12 | | 5(7-X)-6=3(X)+5 | | 7x-3y-8=0 | | 5000=3x | | X^2*y^2+10xy+20= | | 6x-35=2x+9 | | 0.3=0.15 | | 48-x=4(x)7 | | x=13+-2(2) | | -3x^2+9x=-30 | | 8.15x+24.45=48.9 | | -2(13+(-2y))=-18 | | ln(3)+ln(x)=ln(6)+ln(3x-3) | | Y=x^4-6x^3+7x^2+6x-8 | | 4x-1=7x+13 | | mp=mz+x | | f(x)=5x^2-20x+2 | | Q^2+3q-18= | | 3u^2-17u-6=0 | | -3x^2+9x+30=01 | | 12=-d+18 |