If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2t + 1)(2t + 1) + -0.25 = 0 Reorder the terms: (1 + 2t)(2t + 1) + -0.25 = 0 Reorder the terms: (1 + 2t)(1 + 2t) + -0.25 = 0 Multiply (1 + 2t) * (1 + 2t) (1(1 + 2t) + 2t * (1 + 2t)) + -0.25 = 0 ((1 * 1 + 2t * 1) + 2t * (1 + 2t)) + -0.25 = 0 ((1 + 2t) + 2t * (1 + 2t)) + -0.25 = 0 (1 + 2t + (1 * 2t + 2t * 2t)) + -0.25 = 0 (1 + 2t + (2t + 4t2)) + -0.25 = 0 Combine like terms: 2t + 2t = 4t (1 + 4t + 4t2) + -0.25 = 0 Reorder the terms: 1 + -0.25 + 4t + 4t2 = 0 Combine like terms: 1 + -0.25 = 0.75 0.75 + 4t + 4t2 = 0 Solving 0.75 + 4t + 4t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.1875 + t + t2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + t + -0.1875 + t2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + t + t2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + t + t2 = 0 + -0.1875 t + t2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 t + t2 = -0.1875 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + t2 = -0.1875 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + t2 = -0.1875 + 0.25 Combine like terms: -0.1875 + 0.25 = 0.0625 1.25 + t2 = 0.0625 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = 0.0625 Calculate the square root of the right side: 0.25 Break this problem into two subproblems by setting (t + 0.5) equal to 0.25 and -0.25.Subproblem 1
t + 0.5 = 0.25 Simplifying t + 0.5 = 0.25 Reorder the terms: 0.5 + t = 0.25 Solving 0.5 + t = 0.25 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = 0.25 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = 0.25 + -0.5 t = 0.25 + -0.5 Combine like terms: 0.25 + -0.5 = -0.25 t = -0.25 Simplifying t = -0.25Subproblem 2
t + 0.5 = -0.25 Simplifying t + 0.5 = -0.25 Reorder the terms: 0.5 + t = -0.25 Solving 0.5 + t = -0.25 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = -0.25 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = -0.25 + -0.5 t = -0.25 + -0.5 Combine like terms: -0.25 + -0.5 = -0.75 t = -0.75 Simplifying t = -0.75Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.25, -0.75}
| (3p-2)(3p-2)-4=0 | | 8+5y=18 | | (p+5)(p+5)-49=0 | | 2-3k=17 | | (y-1)(y-1)-25=0 | | (x-2)(x-2)-16=0 | | (x-2)(x-2)+16=0 | | (x-2)(x-2)-9=0 | | 4-3(t+2)+t=5(t-1)-7t | | 4a^2-20a+25=0 | | 7x^2-4x+28=0 | | (x-2)(x-2)-1=0 | | 4x-(3-2x)-3=6 | | 4h^2+4h+1=0 | | u^2-10u+25=0 | | 4+4x=22+x | | v^2+6v+9=0 | | 7=7(8x+9) | | 10x+9=7x-3 | | 8c-c+b+3b= | | 4x+(3-2x)-3=6 | | 3m-18m^2=0 | | 7y+5y^2=0 | | 4x-8=2x+2 | | 6x-12x^2=0 | | 2x+9=x+31 | | m^2-9m+18=0 | | 3(x+2)-(5-x)=3x+19 | | 3p^2-10p-8=0 | | 3p^2=2(5p+4) | | 2(3x-4)-2x=2(x+1) | | 221-2x=43x+21 |