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Simplifying 8x3 + -24x2 + 20x = 0 Reorder the terms: 20x + -24x2 + 8x3 = 0 Solving 20x + -24x2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(5 + -6x + 2x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(5 + -6x + 2x2)' equal to zero and attempt to solve: Simplifying 5 + -6x + 2x2 = 0 Solving 5 + -6x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + -3x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -3x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -3x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -3x + x2 = 0 + -2.5 -3x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -3x + x2 = -2.5 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -2.5 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -2.5 + 2.25 Combine like terms: -2.5 + 2.25 = -0.25 2.25 + -3x + x2 = -0.25 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
| 5-24x=33 | | 5P-14=80+4 | | 3(x-2)=7x-4 | | 11z-48z+20.4z=11.6 | | -16x^2+676= | | 19.6/4 | | 6.7= | | 7(x^2)=28 | | M/3-9=-3 | | 20=9n+2 | | 6/4x-8=7 | | -.5x+.6=.5 | | 6a-1=-25 | | 3x+5-5x=5 | | x/35-3=6 | | .5x+.6=.5 | | 7x/3=7 | | -1+3x+3x=-25 | | -4a+20=-12 | | 2x+9+5x=30 | | 3x-6y=-42 | | 3x^2+100x-2600=0 | | 2x^3/5=x^5/30 | | (4x-7)(2x+5)= | | 8x+5y=-28 | | 1.2z=8.4 | | g/2.1=5 | | 3-4x+5=7x+2-9 | | v+12=-3 | | p-7.2=-5 | | 9+3(x-2)=6-7(x-4) | | Logx=8.25 |