If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 684 = x(2x + -4) Reorder the terms: 684 = x(-4 + 2x) 684 = (-4 * x + 2x * x) 684 = (-4x + 2x2) Solving 684 = -4x + 2x2 Solving for variable 'x'. Reorder the terms: 684 + 4x + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 684 + 4x + -2x2 = 0 + 2x2 + -2x2 684 + 4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 684 + 4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(342 + 2x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(342 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying 342 + 2x + -1x2 = 0 Solving 342 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -342 + -2x + x2 = 0 Move the constant term to the right: Add '342' to each side of the equation. -342 + -2x + 342 + x2 = 0 + 342 Reorder the terms: -342 + 342 + -2x + x2 = 0 + 342 Combine like terms: -342 + 342 = 0 0 + -2x + x2 = 0 + 342 -2x + x2 = 0 + 342 Combine like terms: 0 + 342 = 342 -2x + x2 = 342 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = 342 + 1 Reorder the terms: 1 + -2x + x2 = 342 + 1 Combine like terms: 342 + 1 = 343 1 + -2x + x2 = 343 Factor a perfect square on the left side: (x + -1)(x + -1) = 343 Calculate the square root of the right side: 18.520259177 Break this problem into two subproblems by setting (x + -1) equal to 18.520259177 and -18.520259177.Subproblem 1
x + -1 = 18.520259177 Simplifying x + -1 = 18.520259177 Reorder the terms: -1 + x = 18.520259177 Solving -1 + x = 18.520259177 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 18.520259177 + 1 Combine like terms: -1 + 1 = 0 0 + x = 18.520259177 + 1 x = 18.520259177 + 1 Combine like terms: 18.520259177 + 1 = 19.520259177 x = 19.520259177 Simplifying x = 19.520259177Subproblem 2
x + -1 = -18.520259177 Simplifying x + -1 = -18.520259177 Reorder the terms: -1 + x = -18.520259177 Solving -1 + x = -18.520259177 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -18.520259177 + 1 Combine like terms: -1 + 1 = 0 0 + x = -18.520259177 + 1 x = -18.520259177 + 1 Combine like terms: -18.520259177 + 1 = -17.520259177 x = -17.520259177 Simplifying x = -17.520259177Solution
The solution to the problem is based on the solutions from the subproblems. x = {19.520259177, -17.520259177}Solution
x = {19.520259177, -17.520259177}
| 4-x-1+3x=23 | | 2y-3=5-2t | | 3218.41(D^2)-13433.42D-6048.65=0 | | 6x-1=2(3x-1) | | -2x+4-2+x-2x=17 | | 16y-[3y(6-9y)]=30y+[-(3y+2)-(y+3)] | | 15y-4=3y | | .50(4m-18)=12 | | y=(x+1)(x-2)(x-4) | | -42x^2+246xy=-336y^2 | | 3218.41(D^2)-13433.42D-4458.78=0 | | 6x^3+21x^2+9x=0 | | S=6r^2t | | 4+2x-3x+x-3+2x=21 | | x^2+6x+306=0 | | x^2+6x-306=0 | | -4=1/2-3 | | 9x^2+6xy+y^2+x=0 | | 4x-5=-3(2x+1)-12 | | .25(4m-18)=12 | | 12k-2.6= | | 4+4x+3x+5-x-2=31 | | 2272.38(D^2)-2(6048.75)D-4291.18=0 | | 40+2y=7 | | 2x^3-x^2-112=0 | | 2(w+4)-7w=23 | | 24+2y=7 | | -3+3x+2+4x=34 | | (6)(-5)-4(6)+7= | | 52-32/4x4 | | 16+2y=7 | | (x+3+i)(x+3-i)=0 |