If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 20x + 9 = 0 Reorder the terms: 9 + 20x + 6x2 = 0 Solving 9 + 20x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.5 + 3.333333333x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 3.333333333x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 3.333333333x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3.333333333x + x2 = 0 + -1.5 3.333333333x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 3.333333333x + x2 = -1.5 The x term is 3.333333333x. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333x + 2.777777779 + x2 = -1.5 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333x + x2 = -1.5 + 2.777777779 Combine like terms: -1.5 + 2.777777779 = 1.277777779 2.777777779 + 3.333333333x + x2 = 1.277777779 Factor a perfect square on the left side: (x + 1.666666667)(x + 1.666666667) = 1.277777779 Calculate the square root of the right side: 1.130388331 Break this problem into two subproblems by setting (x + 1.666666667) equal to 1.130388331 and -1.130388331.Subproblem 1
x + 1.666666667 = 1.130388331 Simplifying x + 1.666666667 = 1.130388331 Reorder the terms: 1.666666667 + x = 1.130388331 Solving 1.666666667 + x = 1.130388331 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667 + x = 1.130388331 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + x = 1.130388331 + -1.666666667 x = 1.130388331 + -1.666666667 Combine like terms: 1.130388331 + -1.666666667 = -0.536278336 x = -0.536278336 Simplifying x = -0.536278336Subproblem 2
x + 1.666666667 = -1.130388331 Simplifying x + 1.666666667 = -1.130388331 Reorder the terms: 1.666666667 + x = -1.130388331 Solving 1.666666667 + x = -1.130388331 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.666666667' to each side of the equation. 1.666666667 + -1.666666667 + x = -1.130388331 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + x = -1.130388331 + -1.666666667 x = -1.130388331 + -1.666666667 Combine like terms: -1.130388331 + -1.666666667 = -2.797054998 x = -2.797054998 Simplifying x = -2.797054998Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.536278336, -2.797054998}
| 185-5x=40x+15 | | 7a+9=3a | | -4n=22 | | 6x+7=31 | | 3(3-2x)-2(1-x)=10 | | 16+2x=-4(x+4) | | 12-m+5=m+7 | | 16a+10a=52 | | 4.1+10m=6.58 | | 6a-3a+2a=35 | | 9v-5=-95 | | 9x-7=8x-6 | | 40-5X=12X+6 | | x(x+10)=100 | | 21=6m | | 2/3x+4=-1/3x-3 | | 7y=4y+18 | | -(6+1)-(-5y-7)=6 | | 12/0.528 | | 5.7+g=13.2 | | -12+3+9= | | 20=4(x+12) | | (z^2)-z(3-2i)+5-i=0 | | 9x+6-2x=8 | | 6(2+3x)=11x+5 | | 8(4x+3)=-32+4x | | -3(8v+8)-4=36+8v | | 6x^2-31X+162=0 | | 4x^3+32x^2+64x=0 | | 4+6n=10+3n | | k/5+2=0 | | 47=-3+8d |