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 + 2) = 5 Reorder the terms: 3x(2 + 3x) = 5 (2 * 3x + 3x * 3x) = 5 (6x + 9x2) = 5 Solving 6x + 9x2 = 5 Solving for variable 'x'. Reorder the terms: -5 + 6x + 9x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 6x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -0.5555555556 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '0.5555555556' to each side of the equation. -0.5555555556 + 0.6666666667x + 0.5555555556 + x2 = 0 + 0.5555555556 Reorder the terms: -0.5555555556 + 0.5555555556 + 0.6666666667x + x2 = 0 + 0.5555555556 Combine like terms: -0.5555555556 + 0.5555555556 = 0.0000000000 0.0000000000 + 0.6666666667x + x2 = 0 + 0.5555555556 0.6666666667x + x2 = 0 + 0.5555555556 Combine like terms: 0 + 0.5555555556 = 0.5555555556 0.6666666667x + x2 = 0.5555555556 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = 0.5555555556 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = 0.5555555556 + 0.1111111112 Combine like terms: 0.5555555556 + 0.1111111112 = 0.6666666668 0.1111111112 + 0.6666666667x + x2 = 0.6666666668 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = 0.6666666668 Calculate the square root of the right side: 0.816496581 Break this problem into two subproblems by setting (x + 0.3333333334) equal to 0.816496581 and -0.816496581.Subproblem 1
x + 0.3333333334 = 0.816496581 Simplifying x + 0.3333333334 = 0.816496581 Reorder the terms: 0.3333333334 + x = 0.816496581 Solving 0.3333333334 + x = 0.816496581 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + x = 0.816496581 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = 0.816496581 + -0.3333333334 x = 0.816496581 + -0.3333333334 Combine like terms: 0.816496581 + -0.3333333334 = 0.4831632476 x = 0.4831632476 Simplifying x = 0.4831632476Subproblem 2
x + 0.3333333334 = -0.816496581 Simplifying x + 0.3333333334 = -0.816496581 Reorder the terms: 0.3333333334 + x = -0.816496581 Solving 0.3333333334 + x = -0.816496581 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + x = -0.816496581 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = -0.816496581 + -0.3333333334 x = -0.816496581 + -0.3333333334 Combine like terms: -0.816496581 + -0.3333333334 = -1.1498299144 x = -1.1498299144 Simplifying x = -1.1498299144Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.4831632476, -1.1498299144}
| -2=n-1 | | 3(u-6)=18 | | 17x=272 | | 17-11/2x=12 | | -25=150+q | | 13=x/5 | | -3k=39 | | -32=-20+v | | 3x+19=35 | | x+2x+1/2x=1,260 | | 2=b+1 | | 7y-6x=-14 | | 8=4x+-4 | | x+(x*0.0625)=930 | | x/3-x/4=-1/6 | | 1/3(9-6)+x=7+2x-2 | | 6(9)-4(-1)=-7 | | 5m-2x=1b+5 | | z^2+7z-1=0 | | 32x+7=12x+5 | | (2y+5)(y+4)=0 | | 3x+8=2x+11 | | 1a+2a=3a | | 13(1-x)+3(4x+1)=0 | | 10(x+5)=2(x+45) | | 2(x-5)=20-4x | | 3x-5=99-10x | | 6(x+2)=2(x+22) | | 2(x-5)=32-4x | | 2x-1=107-10x | | -5.7v-44.2=-88.3v | | 5*5=13 |