If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3t2 + 9t + 4 = 0 Reorder the terms: 4 + 9t + 3t2 = 0 Solving 4 + 9t + 3t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.333333333 + 3t + t2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 3t + -1.333333333 + t2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 3t + t2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 3t + t2 = 0 + -1.333333333 3t + t2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 3t + t2 = -1.333333333 The t term is 3t. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3t + 2.25 + t2 = -1.333333333 + 2.25 Reorder the terms: 2.25 + 3t + t2 = -1.333333333 + 2.25 Combine like terms: -1.333333333 + 2.25 = 0.916666667 2.25 + 3t + t2 = 0.916666667 Factor a perfect square on the left side: (t + 1.5)(t + 1.5) = 0.916666667 Calculate the square root of the right side: 0.957427108 Break this problem into two subproblems by setting (t + 1.5) equal to 0.957427108 and -0.957427108.Subproblem 1
t + 1.5 = 0.957427108 Simplifying t + 1.5 = 0.957427108 Reorder the terms: 1.5 + t = 0.957427108 Solving 1.5 + t = 0.957427108 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + t = 0.957427108 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + t = 0.957427108 + -1.5 t = 0.957427108 + -1.5 Combine like terms: 0.957427108 + -1.5 = -0.542572892 t = -0.542572892 Simplifying t = -0.542572892Subproblem 2
t + 1.5 = -0.957427108 Simplifying t + 1.5 = -0.957427108 Reorder the terms: 1.5 + t = -0.957427108 Solving 1.5 + t = -0.957427108 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + t = -0.957427108 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + t = -0.957427108 + -1.5 t = -0.957427108 + -1.5 Combine like terms: -0.957427108 + -1.5 = -2.457427108 t = -2.457427108 Simplifying t = -2.457427108Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.542572892, -2.457427108}
| 2(x-5)=-2 | | 4-2x-18y+9xy= | | 5h+7w= | | 2n+1+n=-42 | | 9=3c-9 | | 2x^2-x-3-12=0 | | 4x-(5x-12)=9 | | 2x^2-x-3-12=o | | 6e-5=13 | | n+13=4(9+2) | | 5(-3x+8)=-20 | | 5z^2-15=0 | | x+(26-12)=57 | | 4+9x=22 | | 9c*5c= | | n+29=64 | | -4(2x-3)=4 | | 3z=17 | | y+(5+3)=39 | | 9c+5c= | | (28b-3)-9(3b+3)=-4 | | 5x-y=.15 | | 39=5x-1 | | 8x*3xyz= | | -4(-8+x)=36 | | x+750=1275 | | -5y=2,6-4y | | 2h*15= | | 8(2x-3)=4(4-8) | | y+100=579 | | 12*3mn= | | n+240=354 |