If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -5t2 + 12t + 6 Reorder the terms: 0 = 6 + 12t + -5t2 Solving 0 = 6 + 12t + -5t2 Solving for variable 't'. Combine like terms: 0 + -6 = -6 -6 + -12t + 5t2 = 6 + 12t + -5t2 + -6 + -12t + 5t2 Reorder the terms: -6 + -12t + 5t2 = 6 + -6 + 12t + -12t + -5t2 + 5t2 Combine like terms: 6 + -6 = 0 -6 + -12t + 5t2 = 0 + 12t + -12t + -5t2 + 5t2 -6 + -12t + 5t2 = 12t + -12t + -5t2 + 5t2 Combine like terms: 12t + -12t = 0 -6 + -12t + 5t2 = 0 + -5t2 + 5t2 -6 + -12t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -6 + -12t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -1.2 + -2.4t + t2 = 0 Move the constant term to the right: Add '1.2' to each side of the equation. -1.2 + -2.4t + 1.2 + t2 = 0 + 1.2 Reorder the terms: -1.2 + 1.2 + -2.4t + t2 = 0 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -2.4t + t2 = 0 + 1.2 -2.4t + t2 = 0 + 1.2 Combine like terms: 0 + 1.2 = 1.2 -2.4t + t2 = 1.2 The t term is -2.4t. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4t + 1.44 + t2 = 1.2 + 1.44 Reorder the terms: 1.44 + -2.4t + t2 = 1.2 + 1.44 Combine like terms: 1.2 + 1.44 = 2.64 1.44 + -2.4t + t2 = 2.64 Factor a perfect square on the left side: (t + -1.2)(t + -1.2) = 2.64 Calculate the square root of the right side: 1.624807681 Break this problem into two subproblems by setting (t + -1.2) equal to 1.624807681 and -1.624807681.Subproblem 1
t + -1.2 = 1.624807681 Simplifying t + -1.2 = 1.624807681 Reorder the terms: -1.2 + t = 1.624807681 Solving -1.2 + t = 1.624807681 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + t = 1.624807681 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + t = 1.624807681 + 1.2 t = 1.624807681 + 1.2 Combine like terms: 1.624807681 + 1.2 = 2.824807681 t = 2.824807681 Simplifying t = 2.824807681Subproblem 2
t + -1.2 = -1.624807681 Simplifying t + -1.2 = -1.624807681 Reorder the terms: -1.2 + t = -1.624807681 Solving -1.2 + t = -1.624807681 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + t = -1.624807681 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + t = -1.624807681 + 1.2 t = -1.624807681 + 1.2 Combine like terms: -1.624807681 + 1.2 = -0.424807681 t = -0.424807681 Simplifying t = -0.424807681Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.824807681, -0.424807681}
| 4.8t^2+58t+10=0 | | 1-6n-3n=1 | | x^2-5-6= | | xwheny=30 | | x+-150=575 | | .45+.05(2-x)=.10(-63) | | 3(2-4b)+5=2-3b | | x=-40+20y | | 7m-3=5m | | -4a=6 | | 3/8x+17=7/8x-7 | | 1424-943= | | 7x+6x-2=180 | | 3(7p-7)=-7(-3-9p) | | -4(7x-5)=40-8x | | 8c+4=7c | | 7(b+2)=-8(b+-7) | | 833-x=63 | | -786-x=-498 | | 5(-4-k)=1+2k | | 4n=1.5*16 | | x-372=-646 | | 6y-11=41 | | 8t^4-12t^2+16= | | 3x+5+2x=9x-5 | | 17-x=35 | | -2(t-2)+9t=4t-3 | | .02*.5=.04n | | 3(x-1)+2=4x-5 | | .15x+.05(10-x)=.10(11) | | -65+x=-82 | | -3,42+235-1,18= |