If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x(3x + 2) = 165 Reorder the terms: x(2 + 3x) = 165 (2 * x + 3x * x) = 165 (2x + 3x2) = 165 Solving 2x + 3x2 = 165 Solving for variable 'x'. Reorder the terms: -165 + 2x + 3x2 = 165 + -165 Combine like terms: 165 + -165 = 0 -165 + 2x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -55 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '55' to each side of the equation. -55 + 0.6666666667x + 55 + x2 = 0 + 55 Reorder the terms: -55 + 55 + 0.6666666667x + x2 = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 0.6666666667x + x2 = 0 + 55 0.6666666667x + x2 = 0 + 55 Combine like terms: 0 + 55 = 55 0.6666666667x + x2 = 55 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 = 55 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = 55 + 0.1111111112 Combine like terms: 55 + 0.1111111112 = 55.1111111112 0.1111111112 + 0.6666666667x + x2 = 55.1111111112 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = 55.1111111112 Calculate the square root of the right side: 7.423685817 Break this problem into two subproblems by setting (x + 0.3333333334) equal to 7.423685817 and -7.423685817.Subproblem 1
x + 0.3333333334 = 7.423685817 Simplifying x + 0.3333333334 = 7.423685817 Reorder the terms: 0.3333333334 + x = 7.423685817 Solving 0.3333333334 + x = 7.423685817 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 = 7.423685817 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = 7.423685817 + -0.3333333334 x = 7.423685817 + -0.3333333334 Combine like terms: 7.423685817 + -0.3333333334 = 7.0903524836 x = 7.0903524836 Simplifying x = 7.0903524836Subproblem 2
x + 0.3333333334 = -7.423685817 Simplifying x + 0.3333333334 = -7.423685817 Reorder the terms: 0.3333333334 + x = -7.423685817 Solving 0.3333333334 + x = -7.423685817 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 = -7.423685817 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = -7.423685817 + -0.3333333334 x = -7.423685817 + -0.3333333334 Combine like terms: -7.423685817 + -0.3333333334 = -7.7570191504 x = -7.7570191504 Simplifying x = -7.7570191504Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.0903524836, -7.7570191504}
| 3y+2=-14y+14 | | 2x+12=3x+48 | | 3/4*24x | | 12.6x-3.7x=-178 | | 3x^2-8x+28=0 | | 8n/4+3n/4 | | 5(3x-8)+3(7x-6)=6(8x+3)-4(2x+5) | | 12x-96=6x-6 | | -6x-13x=152 | | 2x^2+3x=27 | | 43-2x=7x+19 | | 24x^2-18=0 | | 3+7=0 | | -9x+4y=-41 | | 7x-3=-9 | | x^3+3x^2-18x=40 | | -3x-7y=-97 | | 5(c+0.84)+6=50 | | (2-3x)(3x-10)-(3x-1)(8)=0 | | a=2a+3 | | 2(y-7)/3=-2y | | 2/3(18) | | d=-3/5c | | 73+4m=-7m-26 | | -x-1/5=x+1/6+1/5 | | 7a=2a+35 | | 36+12x=336 | | 4x+7x(x-3)=67 | | (x+1)(x+2)=24.75 | | x-1/2=(5x/8)-(3/4) | | (2-3x)(3x-10)-3x-1(8)=0 | | -4x-6-x=2x+x-10 |