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Simplifying 3x = (2x + -2)(m + 4) * forx Reorder the terms: 3x = (-2 + 2x)(m + 4) * forx Reorder the terms: 3x = (-2 + 2x)(4 + m) * forx Reorder the terms for easier multiplication: 3x = forx(-2 + 2x)(4 + m) Multiply (-2 + 2x) * (4 + m) 3x = forx(-2(4 + m) + 2x * (4 + m)) 3x = forx((4 * -2 + m * -2) + 2x * (4 + m)) 3x = forx((-8 + -2m) + 2x * (4 + m)) 3x = forx(-8 + -2m + (4 * 2x + m * 2x)) Reorder the terms: 3x = forx(-8 + -2m + (2mx + 8x)) 3x = forx(-8 + -2m + (2mx + 8x)) 3x = forx(-8 + -2m + 2mx + 8x) 3x = (-8 * forx + -2m * forx + 2mx * forx + 8x * forx) Reorder the terms: 3x = (-2fmorx + 2fmorx2 + -8forx + 8forx2) 3x = (-2fmorx + 2fmorx2 + -8forx + 8forx2) Solving 3x = -2fmorx + 2fmorx2 + -8forx + 8forx2 Solving for variable 'x'. Reorder the terms: 2fmorx + -2fmorx2 + 8forx + -8forx2 + 3x = -2fmorx + 2fmorx2 + -8forx + 8forx2 + 2fmorx + -2fmorx2 + 8forx + -8forx2 Reorder the terms: 2fmorx + -2fmorx2 + 8forx + -8forx2 + 3x = -2fmorx + 2fmorx + 2fmorx2 + -2fmorx2 + -8forx + 8forx + 8forx2 + -8forx2 Combine like terms: -2fmorx + 2fmorx = 0 2fmorx + -2fmorx2 + 8forx + -8forx2 + 3x = 0 + 2fmorx2 + -2fmorx2 + -8forx + 8forx + 8forx2 + -8forx2 2fmorx + -2fmorx2 + 8forx + -8forx2 + 3x = 2fmorx2 + -2fmorx2 + -8forx + 8forx + 8forx2 + -8forx2 Combine like terms: 2fmorx2 + -2fmorx2 = 0 2fmorx + -2fmorx2 + 8forx + -8forx2 + 3x = 0 + -8forx + 8forx + 8forx2 + -8forx2 2fmorx + -2fmorx2 + 8forx + -8forx2 + 3x = -8forx + 8forx + 8forx2 + -8forx2 Combine like terms: -8forx + 8forx = 0 2fmorx + -2fmorx2 + 8forx + -8forx2 + 3x = 0 + 8forx2 + -8forx2 2fmorx + -2fmorx2 + 8forx + -8forx2 + 3x = 8forx2 + -8forx2 Combine like terms: 8forx2 + -8forx2 = 0 2fmorx + -2fmorx2 + 8forx + -8forx2 + 3x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2fmor + -2fmorx + 8for + -8forx + 3) = 0Subproblem 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 '(2fmor + -2fmorx + 8for + -8forx + 3)' equal to zero and attempt to solve: Simplifying 2fmor + -2fmorx + 8for + -8forx + 3 = 0 Reorder the terms: 3 + 2fmor + -2fmorx + 8for + -8forx = 0 Solving 3 + 2fmor + -2fmorx + 8for + -8forx = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2fmor + -2fmorx + 8for + -3 + -8forx = 0 + -3 Reorder the terms: 3 + -3 + 2fmor + -2fmorx + 8for + -8forx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2fmor + -2fmorx + 8for + -8forx = 0 + -3 2fmor + -2fmorx + 8for + -8forx = 0 + -3 Combine like terms: 0 + -3 = -3 2fmor + -2fmorx + 8for + -8forx = -3 Add '-2fmor' to each side of the equation. 2fmor + -2fmorx + 8for + -2fmor + -8forx = -3 + -2fmor Reorder the terms: 2fmor + -2fmor + -2fmorx + 8for + -8forx = -3 + -2fmor Combine like terms: 2fmor + -2fmor = 0 0 + -2fmorx + 8for + -8forx = -3 + -2fmor -2fmorx + 8for + -8forx = -3 + -2fmor Add '-8for' to each side of the equation. -2fmorx + 8for + -8for + -8forx = -3 + -2fmor + -8for Combine like terms: 8for + -8for = 0 -2fmorx + 0 + -8forx = -3 + -2fmor + -8for -2fmorx + -8forx = -3 + -2fmor + -8for The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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