If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4t + 5)(7t + 5) = -3t Reorder the terms: (5 + 4t)(7t + 5) = -3t Reorder the terms: (5 + 4t)(5 + 7t) = -3t Multiply (5 + 4t) * (5 + 7t) (5(5 + 7t) + 4t * (5 + 7t)) = -3t ((5 * 5 + 7t * 5) + 4t * (5 + 7t)) = -3t ((25 + 35t) + 4t * (5 + 7t)) = -3t (25 + 35t + (5 * 4t + 7t * 4t)) = -3t (25 + 35t + (20t + 28t2)) = -3t Combine like terms: 35t + 20t = 55t (25 + 55t + 28t2) = -3t Solving 25 + 55t + 28t2 = -3t Solving for variable 't'. Reorder the terms: 25 + 55t + 3t + 28t2 = -3t + 3t Combine like terms: 55t + 3t = 58t 25 + 58t + 28t2 = -3t + 3t Combine like terms: -3t + 3t = 0 25 + 58t + 28t2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.8928571429 + 2.071428571t + t2 = 0 Move the constant term to the right: Add '-0.8928571429' to each side of the equation. 0.8928571429 + 2.071428571t + -0.8928571429 + t2 = 0 + -0.8928571429 Reorder the terms: 0.8928571429 + -0.8928571429 + 2.071428571t + t2 = 0 + -0.8928571429 Combine like terms: 0.8928571429 + -0.8928571429 = 0.0000000000 0.0000000000 + 2.071428571t + t2 = 0 + -0.8928571429 2.071428571t + t2 = 0 + -0.8928571429 Combine like terms: 0 + -0.8928571429 = -0.8928571429 2.071428571t + t2 = -0.8928571429 The t term is 2.071428571t. Take half its coefficient (1.035714286). Square it (1.072704082) and add it to both sides. Add '1.072704082' to each side of the equation. 2.071428571t + 1.072704082 + t2 = -0.8928571429 + 1.072704082 Reorder the terms: 1.072704082 + 2.071428571t + t2 = -0.8928571429 + 1.072704082 Combine like terms: -0.8928571429 + 1.072704082 = 0.1798469391 1.072704082 + 2.071428571t + t2 = 0.1798469391 Factor a perfect square on the left side: (t + 1.035714286)(t + 1.035714286) = 0.1798469391 Calculate the square root of the right side: 0.424083646 Break this problem into two subproblems by setting (t + 1.035714286) equal to 0.424083646 and -0.424083646.Subproblem 1
t + 1.035714286 = 0.424083646 Simplifying t + 1.035714286 = 0.424083646 Reorder the terms: 1.035714286 + t = 0.424083646 Solving 1.035714286 + t = 0.424083646 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.035714286' to each side of the equation. 1.035714286 + -1.035714286 + t = 0.424083646 + -1.035714286 Combine like terms: 1.035714286 + -1.035714286 = 0.000000000 0.000000000 + t = 0.424083646 + -1.035714286 t = 0.424083646 + -1.035714286 Combine like terms: 0.424083646 + -1.035714286 = -0.61163064 t = -0.61163064 Simplifying t = -0.61163064Subproblem 2
t + 1.035714286 = -0.424083646 Simplifying t + 1.035714286 = -0.424083646 Reorder the terms: 1.035714286 + t = -0.424083646 Solving 1.035714286 + t = -0.424083646 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.035714286' to each side of the equation. 1.035714286 + -1.035714286 + t = -0.424083646 + -1.035714286 Combine like terms: 1.035714286 + -1.035714286 = 0.000000000 0.000000000 + t = -0.424083646 + -1.035714286 t = -0.424083646 + -1.035714286 Combine like terms: -0.424083646 + -1.035714286 = -1.459797932 t = -1.459797932 Simplifying t = -1.459797932Solution
The solution to the problem is based on the solutions from the subproblems. t = {-0.61163064, -1.459797932}
| 3z/4=-18 | | 8x-2-1x=3x-9-10x | | 140/4x4= | | 5-3(q-4)=2(q+1) | | y+1=-1.25(x+3) | | 6x+181=15x-8 | | y+4=1.5(x+5) | | 3x+3+3x+3+4x-1+4x-1=144 | | 3x+3+3x+3+4x-1+4x-1=114 | | X^2-12x+32=x^2 | | 3u-9=42 | | y+1=-1.5(x+7) | | 4*-0.2857142857-1= | | 5x=15x*15x | | y+2=-.125(x+1) | | 5x^2-3x-160=0 | | 1.333=x/y | | 3x+3+3x+3+4x-1+4x-1= | | 9*8/9*8 | | 10x^2-36x=0 | | 7-2x=4x-11 | | -x^2+y^2+2xy+1=-x^2+y^2+2xy+9 | | 5x+2=3y+3 | | Secx=-4/5 | | 1/5*2 | | 30x+55=25x+95 | | 16t=-18+17t | | 4x+3(3x-4)=5x-5 | | 44x^6y^8/22xy^8 | | y+6=-.33(x+2) | | 2(3-x)squared=38 | | 44x*y*/22xy* |