If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2t2 + 10t + 3 = 0 Reorder the terms: 3 + 10t + 2t2 = 0 Solving 3 + 10t + 2t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 5t + t2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 5t + -1.5 + t2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 5t + t2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 5t + t2 = 0 + -1.5 5t + t2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 5t + t2 = -1.5 The t term is 5t. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5t + 6.25 + t2 = -1.5 + 6.25 Reorder the terms: 6.25 + 5t + t2 = -1.5 + 6.25 Combine like terms: -1.5 + 6.25 = 4.75 6.25 + 5t + t2 = 4.75 Factor a perfect square on the left side: (t + 2.5)(t + 2.5) = 4.75 Calculate the square root of the right side: 2.179449472 Break this problem into two subproblems by setting (t + 2.5) equal to 2.179449472 and -2.179449472.Subproblem 1
t + 2.5 = 2.179449472 Simplifying t + 2.5 = 2.179449472 Reorder the terms: 2.5 + t = 2.179449472 Solving 2.5 + t = 2.179449472 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + t = 2.179449472 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + t = 2.179449472 + -2.5 t = 2.179449472 + -2.5 Combine like terms: 2.179449472 + -2.5 = -0.320550528 t = -0.320550528 Simplifying t = -0.320550528Subproblem 2
t + 2.5 = -2.179449472 Simplifying t + 2.5 = -2.179449472 Reorder the terms: 2.5 + t = -2.179449472 Solving 2.5 + t = -2.179449472 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + t = -2.179449472 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + t = -2.179449472 + -2.5 t = -2.179449472 + -2.5 Combine like terms: -2.179449472 + -2.5 = -4.679449472 t = -4.679449472 Simplifying t = -4.679449472Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.320550528, -4.679449472}
| -1/12-7/12 | | 4-7y+5=2y+11-7y | | -3/4=x/3 | | x*y=240 | | x*y=250 | | a/9-15 | | -2a/3=-3/4 | | 4(x-5)-3(x-2)=1 | | c=180+65h | | (11-7)+g= | | 4-(4-4k)=-10-16 | | 35=w+7 | | 38=-11a-a^2 | | 3/4w=1/5 | | 15=7.5 | | 11v^2-15v+132=10v^2 | | 6(x+-1)=2+8x | | x/1.2=5 | | x+1/2-1=7 | | 3x-15/3=5 | | 48+9(y-7)= | | x/3.7=2.1 | | 3x-7+2x=13 | | 3x/2-3=3 | | 2n^2+12n+36=-7 | | m+(-4.4)=-3.6 | | (3+4x)(5+6x)= | | 4-6x=3x+11 | | 2.1*4.1= | | 0.5x^2+x+0.5=0 | | 3(x-5)+8=-(2-x)-25 | | -2.1x=14 |