If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 3x + -6 = 0 Reorder the terms: -6 + 3x + 6x2 = 0 Solving -6 + 3x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + x + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + x + 2x2)' equal to zero and attempt to solve: Simplifying -2 + x + 2x2 = 0 Solving -2 + x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -1 + 0.5x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + 0.5x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + 0.5x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 0.5x + x2 = 0 + 1 0.5x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 0.5x + x2 = 1 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5x + 0.25 + x2 = 1 + 0.25 Reorder the terms: 0.25 + 0.5x + x2 = 1 + 0.25 Combine like terms: 1 + 0.25 = 1.25 0.25 + 0.5x + x2 = 1.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (x + 0.5) equal to 1.118033989 and -1.118033989.Subproblem 1
x + 0.5 = 1.118033989 Simplifying x + 0.5 = 1.118033989 Reorder the terms: 0.5 + x = 1.118033989 Solving 0.5 + x = 1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 1.118033989 + -0.5 x = 1.118033989 + -0.5 Combine like terms: 1.118033989 + -0.5 = 0.618033989 x = 0.618033989 Simplifying x = 0.618033989Subproblem 2
x + 0.5 = -1.118033989 Simplifying x + 0.5 = -1.118033989 Reorder the terms: 0.5 + x = -1.118033989 Solving 0.5 + x = -1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -1.118033989 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -1.118033989 + -0.5 x = -1.118033989 + -0.5 Combine like terms: -1.118033989 + -0.5 = -1.618033989 x = -1.618033989 Simplifying x = -1.618033989Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.618033989, -1.618033989}Solution
x = {0.618033989, -1.618033989}
| x^2+12x+36=-5 | | -5y+4=-4+8y | | 2r^2+r+17=0 | | 6y+2y= | | 7x-6y=22 | | 1/2(5y-2)+1/4(6y+5)= | | 22x-6x=12+4x | | 8x+3x-4x=28 | | -(3xy-8)+3(3xy+5)= | | 5(x-7)=7(2x+1)-9 | | 7y-15y=-46-58 | | In(2x)-3=0 | | -0.305(4000)+0.5x=0.04(4000+x) | | 8x^2+24x+16=0 | | x=-6+3y | | (5x+7)/5+(6x-8)/5=-1/3 | | 4+(3-3x)-(1-x)=5x-2(x-3) | | 11-11x=3x+6 | | -6a+5+7a=9-27 | | 2(3z+2)-24= | | z^3+10z^2=24z | | (6+a)(3+a)= | | 18y^2+8=24y | | 48y^2+8=24y | | x+6x=-4+18+14 | | (7+4a)=(5+2b)(5+2b)=(7+4a) | | 3x^2+7w=6 | | 6x^2=-2x | | [3-(7x+2y)][5-(7x+2y)]= | | -16t^2+40t+24=0 | | 19x+5=22x-3 | | 2x(5)=9x+5 |