If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4.9t2 + 28t + 30 = 0 Reorder the terms: 30 + 28t + -4.9t2 = 0 Solving 30 + 28t + -4.9t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by -4.9 the coefficient of the squared term: Divide each side by '-4.9'. -6.12244898 + -5.714285714t + t2 = 0 Move the constant term to the right: Add '6.12244898' to each side of the equation. -6.12244898 + -5.714285714t + 6.12244898 + t2 = 0 + 6.12244898 Reorder the terms: -6.12244898 + 6.12244898 + -5.714285714t + t2 = 0 + 6.12244898 Combine like terms: -6.12244898 + 6.12244898 = 0.00000000 0.00000000 + -5.714285714t + t2 = 0 + 6.12244898 -5.714285714t + t2 = 0 + 6.12244898 Combine like terms: 0 + 6.12244898 = 6.12244898 -5.714285714t + t2 = 6.12244898 The t term is -5.714285714t. Take half its coefficient (-2.857142857). Square it (8.163265305) and add it to both sides. Add '8.163265305' to each side of the equation. -5.714285714t + 8.163265305 + t2 = 6.12244898 + 8.163265305 Reorder the terms: 8.163265305 + -5.714285714t + t2 = 6.12244898 + 8.163265305 Combine like terms: 6.12244898 + 8.163265305 = 14.285714285 8.163265305 + -5.714285714t + t2 = 14.285714285 Factor a perfect square on the left side: (t + -2.857142857)(t + -2.857142857) = 14.285714285 Calculate the square root of the right side: 3.77964473 Break this problem into two subproblems by setting (t + -2.857142857) equal to 3.77964473 and -3.77964473.Subproblem 1
t + -2.857142857 = 3.77964473 Simplifying t + -2.857142857 = 3.77964473 Reorder the terms: -2.857142857 + t = 3.77964473 Solving -2.857142857 + t = 3.77964473 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.857142857' to each side of the equation. -2.857142857 + 2.857142857 + t = 3.77964473 + 2.857142857 Combine like terms: -2.857142857 + 2.857142857 = 0.000000000 0.000000000 + t = 3.77964473 + 2.857142857 t = 3.77964473 + 2.857142857 Combine like terms: 3.77964473 + 2.857142857 = 6.636787587 t = 6.636787587 Simplifying t = 6.636787587Subproblem 2
t + -2.857142857 = -3.77964473 Simplifying t + -2.857142857 = -3.77964473 Reorder the terms: -2.857142857 + t = -3.77964473 Solving -2.857142857 + t = -3.77964473 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.857142857' to each side of the equation. -2.857142857 + 2.857142857 + t = -3.77964473 + 2.857142857 Combine like terms: -2.857142857 + 2.857142857 = 0.000000000 0.000000000 + t = -3.77964473 + 2.857142857 t = -3.77964473 + 2.857142857 Combine like terms: -3.77964473 + 2.857142857 = -0.922501873 t = -0.922501873 Simplifying t = -0.922501873Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.636787587, -0.922501873}
| -4x+y=10 | | 18x+6y=25 | | -7x-6+2x=-11 | | 4z-14=5z+5 | | (x-8)(5x+2)=0 | | -4x+6+7x=27 | | 15x+5=50 | | 3x^2-5x=12 | | h(t)=-16t^2+14t+100 | | 29=-13+2 | | 8w=64 | | x^3-14x^2-42x=0 | | 7x^2+13x-14=4-2x | | 5x+1=4x-7 | | 10n+6=15n-9 | | 2x-8=x+2 | | 5x^2+27x-24=24-7x | | x+24=3x-12 | | -x=23 | | x^2+2x-272=0 | | 5x+3+6x=-63 | | 7x-15=7x-15 | | 3x-9z=88 | | 2x+18=3+5x | | -7+x-3x=-17 | | 4(7)+2=0 | | 7x-15= | | (-8)(-x-4)-(-4)=-2(x+7) | | X-8+x=-22 | | 4V+36=8(v+6) | | 6y+x-4y-6+5x=0 | | 3x^2-4x+21=0 |