If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x(5 + 3x) + x = 31 (5 * 2x + 3x * 2x) + x = 31 (10x + 6x2) + x = 31 Reorder the terms: 10x + x + 6x2 = 31 Combine like terms: 10x + x = 11x 11x + 6x2 = 31 Solving 11x + 6x2 = 31 Solving for variable 'x'. Reorder the terms: -31 + 11x + 6x2 = 31 + -31 Combine like terms: 31 + -31 = 0 -31 + 11x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -5.166666667 + 1.833333333x + x2 = 0 Move the constant term to the right: Add '5.166666667' to each side of the equation. -5.166666667 + 1.833333333x + 5.166666667 + x2 = 0 + 5.166666667 Reorder the terms: -5.166666667 + 5.166666667 + 1.833333333x + x2 = 0 + 5.166666667 Combine like terms: -5.166666667 + 5.166666667 = 0.000000000 0.000000000 + 1.833333333x + x2 = 0 + 5.166666667 1.833333333x + x2 = 0 + 5.166666667 Combine like terms: 0 + 5.166666667 = 5.166666667 1.833333333x + x2 = 5.166666667 The x term is 1.833333333x. Take half its coefficient (0.9166666665). Square it (0.8402777775) and add it to both sides. Add '0.8402777775' to each side of the equation. 1.833333333x + 0.8402777775 + x2 = 5.166666667 + 0.8402777775 Reorder the terms: 0.8402777775 + 1.833333333x + x2 = 5.166666667 + 0.8402777775 Combine like terms: 5.166666667 + 0.8402777775 = 6.0069444445 0.8402777775 + 1.833333333x + x2 = 6.0069444445 Factor a perfect square on the left side: (x + 0.9166666665)(x + 0.9166666665) = 6.0069444445 Calculate the square root of the right side: 2.450906862 Break this problem into two subproblems by setting (x + 0.9166666665) equal to 2.450906862 and -2.450906862.Subproblem 1
x + 0.9166666665 = 2.450906862 Simplifying x + 0.9166666665 = 2.450906862 Reorder the terms: 0.9166666665 + x = 2.450906862 Solving 0.9166666665 + x = 2.450906862 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9166666665' to each side of the equation. 0.9166666665 + -0.9166666665 + x = 2.450906862 + -0.9166666665 Combine like terms: 0.9166666665 + -0.9166666665 = 0.0000000000 0.0000000000 + x = 2.450906862 + -0.9166666665 x = 2.450906862 + -0.9166666665 Combine like terms: 2.450906862 + -0.9166666665 = 1.5342401955 x = 1.5342401955 Simplifying x = 1.5342401955Subproblem 2
x + 0.9166666665 = -2.450906862 Simplifying x + 0.9166666665 = -2.450906862 Reorder the terms: 0.9166666665 + x = -2.450906862 Solving 0.9166666665 + x = -2.450906862 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9166666665' to each side of the equation. 0.9166666665 + -0.9166666665 + x = -2.450906862 + -0.9166666665 Combine like terms: 0.9166666665 + -0.9166666665 = 0.0000000000 0.0000000000 + x = -2.450906862 + -0.9166666665 x = -2.450906862 + -0.9166666665 Combine like terms: -2.450906862 + -0.9166666665 = -3.3675735285 x = -3.3675735285 Simplifying x = -3.3675735285Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.5342401955, -3.3675735285}
| 2x(5+3x)+x=32 | | 2.24=x/740 | | Y^2+7=10y+5 | | 2sin(4x-40)+3=4 | | 10x-19=9x+4 | | 2(x-4)/5=13 | | 2x+1=12x-5(2x+3) | | 15+6x=29-x | | 3.7+x=0.7 | | 6+x=15-2x | | 6+x=15-x | | 9+14t=8t^2 | | 10=6y+5 | | -18+x-9=12-14+5 | | r=15m | | 2i+3z=i(5-iz)-1+iz | | 2/5y-12=8 | | y^2+y=36 | | l-0.7*29=33 | | 37-17=x-7 | | 0=a(9)-3 | | 0=a(9)-4 | | (9x)-3=32 | | 5-21/5=4/5 | | d-270*7=8242 | | -12=2+5x+2y | | -5t^2+15t+0.5=h | | 9x-3=32 | | 1/4*20-21/5=4/5 | | 1/x=1/28 | | 4x^2+41x-98=0 | | 0=(9)+6 |