If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5t2 + 9t = 15 Reorder the terms: 9t + 5t2 = 15 Solving 9t + 5t2 = 15 Solving for variable 't'. Reorder the terms: -15 + 9t + 5t2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 9t + 5t2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -3 + 1.8t + t2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + 1.8t + 3 + t2 = 0 + 3 Reorder the terms: -3 + 3 + 1.8t + t2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1.8t + t2 = 0 + 3 1.8t + t2 = 0 + 3 Combine like terms: 0 + 3 = 3 1.8t + t2 = 3 The t term is 1.8t. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8t + 0.81 + t2 = 3 + 0.81 Reorder the terms: 0.81 + 1.8t + t2 = 3 + 0.81 Combine like terms: 3 + 0.81 = 3.81 0.81 + 1.8t + t2 = 3.81 Factor a perfect square on the left side: (t + 0.9)(t + 0.9) = 3.81 Calculate the square root of the right side: 1.95192213 Break this problem into two subproblems by setting (t + 0.9) equal to 1.95192213 and -1.95192213.Subproblem 1
t + 0.9 = 1.95192213 Simplifying t + 0.9 = 1.95192213 Reorder the terms: 0.9 + t = 1.95192213 Solving 0.9 + t = 1.95192213 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + t = 1.95192213 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + t = 1.95192213 + -0.9 t = 1.95192213 + -0.9 Combine like terms: 1.95192213 + -0.9 = 1.05192213 t = 1.05192213 Simplifying t = 1.05192213Subproblem 2
t + 0.9 = -1.95192213 Simplifying t + 0.9 = -1.95192213 Reorder the terms: 0.9 + t = -1.95192213 Solving 0.9 + t = -1.95192213 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + t = -1.95192213 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + t = -1.95192213 + -0.9 t = -1.95192213 + -0.9 Combine like terms: -1.95192213 + -0.9 = -2.85192213 t = -2.85192213 Simplifying t = -2.85192213Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.05192213, -2.85192213}
| 18(5x+2)=2x | | -9x-20=-182 | | 3s^2=10s | | 8n=-3 | | -80=4+7x | | 6x+18=29-10x | | b^2+8b+16=0 | | -80=4*7x | | 8x+16=36-11x | | F^2+2f-8=0 | | 18-x=-9 | | 2x-3(2x-8)=4(3x-8)+8x | | 6x+18=36-11x | | x-16x=-64 | | 2x+3=180 | | (7g+3)(2g-1)=0 | | 8x+5y=29 | | x^2+11x=180 | | 5x^2+15x-25=0 | | 3y-8=12y+10 | | 4x-3(2x+1)=3+2(3x-11) | | 3(4x-4)-2x=8x-25 | | 5(3+x)-2=17 | | 11b^2=-7 | | 5n^2=n+48 | | 10x^2+23x=42 | | -19p=-19 | | 18a^2-8=0 | | 3r^2-10r=48 | | 3x^2-6x=24 | | -5+x=-25 | | x-29=37 |