If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3X + 2)(2X + 1) = 676 Reorder the terms: (2 + 3X)(2X + 1) = 676 Reorder the terms: (2 + 3X)(1 + 2X) = 676 Multiply (2 + 3X) * (1 + 2X) (2(1 + 2X) + 3X * (1 + 2X)) = 676 ((1 * 2 + 2X * 2) + 3X * (1 + 2X)) = 676 ((2 + 4X) + 3X * (1 + 2X)) = 676 (2 + 4X + (1 * 3X + 2X * 3X)) = 676 (2 + 4X + (3X + 6X2)) = 676 Combine like terms: 4X + 3X = 7X (2 + 7X + 6X2) = 676 Solving 2 + 7X + 6X2 = 676 Solving for variable 'X'. Reorder the terms: 2 + -676 + 7X + 6X2 = 676 + -676 Combine like terms: 2 + -676 = -674 -674 + 7X + 6X2 = 676 + -676 Combine like terms: 676 + -676 = 0 -674 + 7X + 6X2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -112.3333333 + 1.166666667X + X2 = 0 Move the constant term to the right: Add '112.3333333' to each side of the equation. -112.3333333 + 1.166666667X + 112.3333333 + X2 = 0 + 112.3333333 Reorder the terms: -112.3333333 + 112.3333333 + 1.166666667X + X2 = 0 + 112.3333333 Combine like terms: -112.3333333 + 112.3333333 = 0.0000000 0.0000000 + 1.166666667X + X2 = 0 + 112.3333333 1.166666667X + X2 = 0 + 112.3333333 Combine like terms: 0 + 112.3333333 = 112.3333333 1.166666667X + X2 = 112.3333333 The X term is 1.166666667X. Take half its coefficient (0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. 1.166666667X + 0.3402777780 + X2 = 112.3333333 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667X + X2 = 112.3333333 + 0.3402777780 Combine like terms: 112.3333333 + 0.3402777780 = 112.673611078 0.3402777780 + 1.166666667X + X2 = 112.673611078 Factor a perfect square on the left side: (X + 0.5833333335)(X + 0.5833333335) = 112.673611078 Calculate the square root of the right side: 10.614782667 Break this problem into two subproblems by setting (X + 0.5833333335) equal to 10.614782667 and -10.614782667.Subproblem 1
X + 0.5833333335 = 10.614782667 Simplifying X + 0.5833333335 = 10.614782667 Reorder the terms: 0.5833333335 + X = 10.614782667 Solving 0.5833333335 + X = 10.614782667 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.5833333335' to each side of the equation. 0.5833333335 + -0.5833333335 + X = 10.614782667 + -0.5833333335 Combine like terms: 0.5833333335 + -0.5833333335 = 0.0000000000 0.0000000000 + X = 10.614782667 + -0.5833333335 X = 10.614782667 + -0.5833333335 Combine like terms: 10.614782667 + -0.5833333335 = 10.0314493335 X = 10.0314493335 Simplifying X = 10.0314493335Subproblem 2
X + 0.5833333335 = -10.614782667 Simplifying X + 0.5833333335 = -10.614782667 Reorder the terms: 0.5833333335 + X = -10.614782667 Solving 0.5833333335 + X = -10.614782667 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.5833333335' to each side of the equation. 0.5833333335 + -0.5833333335 + X = -10.614782667 + -0.5833333335 Combine like terms: 0.5833333335 + -0.5833333335 = 0.0000000000 0.0000000000 + X = -10.614782667 + -0.5833333335 X = -10.614782667 + -0.5833333335 Combine like terms: -10.614782667 + -0.5833333335 = -11.1981160005 X = -11.1981160005 Simplifying X = -11.1981160005Solution
The solution to the problem is based on the solutions from the subproblems. X = {10.0314493335, -11.1981160005}
| -2-9u=12 | | -6v=-7v+10 | | -6+2x+3x+5=39 | | -6v=-7v | | -18f-11=-17f-17 | | -.7x+340=1.5x+320 | | b^2-10b+1=-8 | | 4+3x=-2+x | | 3sinx=2cos^2x | | -24=15w-10 | | -4(3x+2)=-32 | | (x+3)*(x+3)=100 | | 4x+20+x+25=90 | | -16j=-18-15j | | 7p+3=2p-17 | | 4x-6=-x | | 2z=158 | | 335-t=413 | | 10-3w=-10-w | | 2x-10+5x-26=90 | | -15-15v=-24 | | 11x-62=103 | | 14x+18y=45446 | | 6y-2=-1+2y+5y | | 5x=-3x+41 | | 3x=6x+9 | | -6n-6=-7n | | x+15+x+19=90 | | 7(t-3)+5t=6(2t+3)-12 | | 11x-7=x+6 | | 5p-11=p-3 | | 11x-7=7x+6 |