If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x(3x + 4) = 1 Reorder the terms: 3x(4 + 3x) = 1 (4 * 3x + 3x * 3x) = 1 (12x + 9x2) = 1 Solving 12x + 9x2 = 1 Solving for variable 'x'. Reorder the terms: -1 + 12x + 9x2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 12x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -0.1111111111 + 1.333333333x + x2 = 0 Move the constant term to the right: Add '0.1111111111' to each side of the equation. -0.1111111111 + 1.333333333x + 0.1111111111 + x2 = 0 + 0.1111111111 Reorder the terms: -0.1111111111 + 0.1111111111 + 1.333333333x + x2 = 0 + 0.1111111111 Combine like terms: -0.1111111111 + 0.1111111111 = 0.0000000000 0.0000000000 + 1.333333333x + x2 = 0 + 0.1111111111 1.333333333x + x2 = 0 + 0.1111111111 Combine like terms: 0 + 0.1111111111 = 0.1111111111 1.333333333x + x2 = 0.1111111111 The x term is 1.333333333x. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333x + 0.4444444442 + x2 = 0.1111111111 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333x + x2 = 0.1111111111 + 0.4444444442 Combine like terms: 0.1111111111 + 0.4444444442 = 0.5555555553 0.4444444442 + 1.333333333x + x2 = 0.5555555553 Factor a perfect square on the left side: (x + 0.6666666665)(x + 0.6666666665) = 0.5555555553 Calculate the square root of the right side: 0.745355992 Break this problem into two subproblems by setting (x + 0.6666666665) equal to 0.745355992 and -0.745355992.Subproblem 1
x + 0.6666666665 = 0.745355992 Simplifying x + 0.6666666665 = 0.745355992 Reorder the terms: 0.6666666665 + x = 0.745355992 Solving 0.6666666665 + x = 0.745355992 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6666666665' to each side of the equation. 0.6666666665 + -0.6666666665 + x = 0.745355992 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + x = 0.745355992 + -0.6666666665 x = 0.745355992 + -0.6666666665 Combine like terms: 0.745355992 + -0.6666666665 = 0.0786893255 x = 0.0786893255 Simplifying x = 0.0786893255Subproblem 2
x + 0.6666666665 = -0.745355992 Simplifying x + 0.6666666665 = -0.745355992 Reorder the terms: 0.6666666665 + x = -0.745355992 Solving 0.6666666665 + x = -0.745355992 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6666666665' to each side of the equation. 0.6666666665 + -0.6666666665 + x = -0.745355992 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + x = -0.745355992 + -0.6666666665 x = -0.745355992 + -0.6666666665 Combine like terms: -0.745355992 + -0.6666666665 = -1.4120226585 x = -1.4120226585 Simplifying x = -1.4120226585Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.0786893255, -1.4120226585}
| 6c-9=2c | | 3(3+5x)-5=64 | | 6b=2b-4 | | 6a=2a-2 | | -5x^8=0 | | 100x^2=10 | | 100x=10 | | y=x^2+2x+1+3y+cos(x) | | 12xy-3x+4= | | -8+9y=-72 | | 80+6x^2=8 | | -8x+9y=-72 | | x^4=8 | | 23x-56+4x=24x-5 | | 6x-4=14x-20 | | 2x+3+x+45=75 | | 2x+3+x+45=85 | | 34x+33=30 | | 3x+14=-8-8x | | 101-3x=3x+23 | | x-9y=21 | | 2x+34=567 | | x^2+24x=12x-15-3x^2 | | x^2+8x-50=-78 | | (x-1)(x-2)=2 | | x*x+5=30 | | 4x-27=2x-5 | | x*x-2x+5=0 | | 110-3x=4x+12 | | 3m-n=-3 | | 8x+2=6x+24 | | 4/2*2=4 |