If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (-3t2 + 6t + -7) + (4t2 + 2t + 1) = 0 Reorder the terms: (-7 + 6t + -3t2) + (4t2 + 2t + 1) = 0 Remove parenthesis around (-7 + 6t + -3t2) -7 + 6t + -3t2 + (4t2 + 2t + 1) = 0 Reorder the terms: -7 + 6t + -3t2 + (1 + 2t + 4t2) = 0 Remove parenthesis around (1 + 2t + 4t2) -7 + 6t + -3t2 + 1 + 2t + 4t2 = 0 Reorder the terms: -7 + 1 + 6t + 2t + -3t2 + 4t2 = 0 Combine like terms: -7 + 1 = -6 -6 + 6t + 2t + -3t2 + 4t2 = 0 Combine like terms: 6t + 2t = 8t -6 + 8t + -3t2 + 4t2 = 0 Combine like terms: -3t2 + 4t2 = 1t2 -6 + 8t + 1t2 = 0 Solving -6 + 8t + 1t2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '6' to each side of the equation. -6 + 8t + 6 + t2 = 0 + 6 Reorder the terms: -6 + 6 + 8t + t2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 8t + t2 = 0 + 6 8t + t2 = 0 + 6 Combine like terms: 0 + 6 = 6 8t + t2 = 6 The t term is 8t. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8t + 16 + t2 = 6 + 16 Reorder the terms: 16 + 8t + t2 = 6 + 16 Combine like terms: 6 + 16 = 22 16 + 8t + t2 = 22 Factor a perfect square on the left side: (t + 4)(t + 4) = 22 Calculate the square root of the right side: 4.69041576 Break this problem into two subproblems by setting (t + 4) equal to 4.69041576 and -4.69041576.Subproblem 1
t + 4 = 4.69041576 Simplifying t + 4 = 4.69041576 Reorder the terms: 4 + t = 4.69041576 Solving 4 + t = 4.69041576 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + t = 4.69041576 + -4 Combine like terms: 4 + -4 = 0 0 + t = 4.69041576 + -4 t = 4.69041576 + -4 Combine like terms: 4.69041576 + -4 = 0.69041576 t = 0.69041576 Simplifying t = 0.69041576Subproblem 2
t + 4 = -4.69041576 Simplifying t + 4 = -4.69041576 Reorder the terms: 4 + t = -4.69041576 Solving 4 + t = -4.69041576 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + t = -4.69041576 + -4 Combine like terms: 4 + -4 = 0 0 + t = -4.69041576 + -4 t = -4.69041576 + -4 Combine like terms: -4.69041576 + -4 = -8.69041576 t = -8.69041576 Simplifying t = -8.69041576Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.69041576, -8.69041576}
| x^2+y^2=14x+48y | | 6P2/12P4 | | (5x+6)+(3x-8)=180 | | 8y+3y+9y-8= | | 0.32= | | (3f+6)= | | (6f+3)= | | (x^2)-15x-15=-69 | | (5t-21)= | | (4t+16)= | | y=(a+b)2 | | (o+13)= | | 2x-6=4+x | | (5y-7)(2-y)=0 | | 5c+2c+7c-8= | | (4o-28)= | | -2=-1/3x-1 | | 8x-3-7x=9+7x-7x | | (1/9x^-5y^3)(1/2x^5y^-6)= | | 6c+7c+9c-1= | | (x-3)/40=6/48 | | 6n^2+7n-2=0 | | 3w-6=w-15 | | ln(5)+ln(x+3)=ln(14) | | 2w-19+7w=90 | | x^2-14x+49=36 | | (2a-3b)= | | 1.5(4x-x)=1.3(2-x) | | 18=43(1+x) | | 500/250=2.2/x | | 0(x)=7x+5 | | y^2-13y+24=0 |