If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 15x2 + 31x = 14 Reorder the terms: 31x + 15x2 = 14 Solving 31x + 15x2 = 14 Solving for variable 'x'. Reorder the terms: -14 + 31x + 15x2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 31x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. -0.9333333333 + 2.066666667x + x2 = 0 Move the constant term to the right: Add '0.9333333333' to each side of the equation. -0.9333333333 + 2.066666667x + 0.9333333333 + x2 = 0 + 0.9333333333 Reorder the terms: -0.9333333333 + 0.9333333333 + 2.066666667x + x2 = 0 + 0.9333333333 Combine like terms: -0.9333333333 + 0.9333333333 = 0.0000000000 0.0000000000 + 2.066666667x + x2 = 0 + 0.9333333333 2.066666667x + x2 = 0 + 0.9333333333 Combine like terms: 0 + 0.9333333333 = 0.9333333333 2.066666667x + x2 = 0.9333333333 The x term is 2.066666667x. Take half its coefficient (1.033333334). Square it (1.067777779) and add it to both sides. Add '1.067777779' to each side of the equation. 2.066666667x + 1.067777779 + x2 = 0.9333333333 + 1.067777779 Reorder the terms: 1.067777779 + 2.066666667x + x2 = 0.9333333333 + 1.067777779 Combine like terms: 0.9333333333 + 1.067777779 = 2.0011111123 1.067777779 + 2.066666667x + x2 = 2.0011111123 Factor a perfect square on the left side: (x + 1.033333334)(x + 1.033333334) = 2.0011111123 Calculate the square root of the right side: 1.414606345 Break this problem into two subproblems by setting (x + 1.033333334) equal to 1.414606345 and -1.414606345.Subproblem 1
x + 1.033333334 = 1.414606345 Simplifying x + 1.033333334 = 1.414606345 Reorder the terms: 1.033333334 + x = 1.414606345 Solving 1.033333334 + x = 1.414606345 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.033333334' to each side of the equation. 1.033333334 + -1.033333334 + x = 1.414606345 + -1.033333334 Combine like terms: 1.033333334 + -1.033333334 = 0.000000000 0.000000000 + x = 1.414606345 + -1.033333334 x = 1.414606345 + -1.033333334 Combine like terms: 1.414606345 + -1.033333334 = 0.381273011 x = 0.381273011 Simplifying x = 0.381273011Subproblem 2
x + 1.033333334 = -1.414606345 Simplifying x + 1.033333334 = -1.414606345 Reorder the terms: 1.033333334 + x = -1.414606345 Solving 1.033333334 + x = -1.414606345 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.033333334' to each side of the equation. 1.033333334 + -1.033333334 + x = -1.414606345 + -1.033333334 Combine like terms: 1.033333334 + -1.033333334 = 0.000000000 0.000000000 + x = -1.414606345 + -1.033333334 x = -1.414606345 + -1.033333334 Combine like terms: -1.414606345 + -1.033333334 = -2.447939679 x = -2.447939679 Simplifying x = -2.447939679Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.381273011, -2.447939679}
| 9x^3-3x^2=0 | | 5=z+19 | | 2y+15y=119 | | (5x^2y-3xy^2+5xy-3)+(-2x^2y-4xy^2+5xy+7)= | | 3x^2+12n-228=0 | | -3a^2+6a-3=0 | | 3+6y=111-4x | | -2p+5p=3-23 | | -21=-3d+8d | | X^3+9x^2+24x+20=0 | | 7n-13=4n+5 | | 8=3(3x+8)-x | | 3z+7=14+3z | | 0=10ln(1+x) | | 12(-0.25+-0.5x)=-6x-3 | | -7w-2=-2(w-4) | | 7(1-3x)+4(3x-7)=-9 | | -2.4= | | -4a+6=-42 | | =10ln(1+x) | | 4t=-52 | | x^3-6x^2-9x=4 | | 9-6n=5+4n | | 4y=-32 | | x+47=26 | | x+28=-20 | | x/6+2=-11 | | -5v+2(v-5)=20 | | F(L)=10ln(1+L) | | 115-(7x+4)=7(x+3)+x | | 4y=-42 | | 6(3k-7)=-28 |