If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 584 = 4x2 + 6x Reorder the terms: 584 = 6x + 4x2 Solving 584 = 6x + 4x2 Solving for variable 'x'. Reorder the terms: 584 + -6x + -4x2 = 6x + -6x + 4x2 + -4x2 Combine like terms: 6x + -6x = 0 584 + -6x + -4x2 = 0 + 4x2 + -4x2 584 + -6x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 584 + -6x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(292 + -3x + -2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(292 + -3x + -2x2)' equal to zero and attempt to solve: Simplifying 292 + -3x + -2x2 = 0 Solving 292 + -3x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -146 + 1.5x + x2 = 0 Move the constant term to the right: Add '146' to each side of the equation. -146 + 1.5x + 146 + x2 = 0 + 146 Reorder the terms: -146 + 146 + 1.5x + x2 = 0 + 146 Combine like terms: -146 + 146 = 0 0 + 1.5x + x2 = 0 + 146 1.5x + x2 = 0 + 146 Combine like terms: 0 + 146 = 146 1.5x + x2 = 146 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 146 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 146 + 0.5625 Combine like terms: 146 + 0.5625 = 146.5625 0.5625 + 1.5x + x2 = 146.5625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 146.5625 Calculate the square root of the right side: 12.106300013 Break this problem into two subproblems by setting (x + 0.75) equal to 12.106300013 and -12.106300013.Subproblem 1
x + 0.75 = 12.106300013 Simplifying x + 0.75 = 12.106300013 Reorder the terms: 0.75 + x = 12.106300013 Solving 0.75 + x = 12.106300013 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 12.106300013 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 12.106300013 + -0.75 x = 12.106300013 + -0.75 Combine like terms: 12.106300013 + -0.75 = 11.356300013 x = 11.356300013 Simplifying x = 11.356300013Subproblem 2
x + 0.75 = -12.106300013 Simplifying x + 0.75 = -12.106300013 Reorder the terms: 0.75 + x = -12.106300013 Solving 0.75 + x = -12.106300013 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -12.106300013 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -12.106300013 + -0.75 x = -12.106300013 + -0.75 Combine like terms: -12.106300013 + -0.75 = -12.856300013 x = -12.856300013 Simplifying x = -12.856300013Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.356300013, -12.856300013}Solution
x = {11.356300013, -12.856300013}
| 7+2q=12q-7q+2 | | P+2(2p-3820)=3920 | | 2r+4=6x-12 | | -8+-n=3(2n-4) | | .75x+x=60 | | X+0.15=19.55 | | 3x-19=2x-22 | | 6(x-1)=3x+12 | | 5*(x+2)-3x=4x-5 | | 1/2x-7=1/3*(x-12)= | | 3pq^3= | | (6.80-.90x)/1 | | 9-1/2=5x4 | | 100=0.01x | | X-(.18x)=200000 | | 4(x+3)-3(x+1)=17 | | 1/2x-7=1/3(x-12)= | | (96-3x)/4 | | 17w-75=180 | | 1/2x-7=1/3-(x-12)= | | 8=7-11+6p | | -6n+6=12n-15 | | .75x=.50+4 | | 3-1/3b=1/3b-7 | | V-6v^2-7v=0 | | (147-6x)/5 | | 5x-x=4 | | 17x-5=15x-3 | | 3.35x=4 | | S=2xl+x^2 | | -3x=-3a+b | | 3.35xX=4 |