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Simplifying 3x = (4x + -2)(m + 7) * forx Reorder the terms: 3x = (-2 + 4x)(m + 7) * forx Reorder the terms: 3x = (-2 + 4x)(7 + m) * forx Reorder the terms for easier multiplication: 3x = forx(-2 + 4x)(7 + m) Multiply (-2 + 4x) * (7 + m) 3x = forx(-2(7 + m) + 4x * (7 + m)) 3x = forx((7 * -2 + m * -2) + 4x * (7 + m)) 3x = forx((-14 + -2m) + 4x * (7 + m)) 3x = forx(-14 + -2m + (7 * 4x + m * 4x)) Reorder the terms: 3x = forx(-14 + -2m + (4mx + 28x)) 3x = forx(-14 + -2m + (4mx + 28x)) 3x = forx(-14 + -2m + 4mx + 28x) 3x = (-14 * forx + -2m * forx + 4mx * forx + 28x * forx) Reorder the terms: 3x = (-2fmorx + 4fmorx2 + -14forx + 28forx2) 3x = (-2fmorx + 4fmorx2 + -14forx + 28forx2) Solving 3x = -2fmorx + 4fmorx2 + -14forx + 28forx2 Solving for variable 'x'. Reorder the terms: 2fmorx + -4fmorx2 + 14forx + -28forx2 + 3x = -2fmorx + 4fmorx2 + -14forx + 28forx2 + 2fmorx + -4fmorx2 + 14forx + -28forx2 Reorder the terms: 2fmorx + -4fmorx2 + 14forx + -28forx2 + 3x = -2fmorx + 2fmorx + 4fmorx2 + -4fmorx2 + -14forx + 14forx + 28forx2 + -28forx2 Combine like terms: -2fmorx + 2fmorx = 0 2fmorx + -4fmorx2 + 14forx + -28forx2 + 3x = 0 + 4fmorx2 + -4fmorx2 + -14forx + 14forx + 28forx2 + -28forx2 2fmorx + -4fmorx2 + 14forx + -28forx2 + 3x = 4fmorx2 + -4fmorx2 + -14forx + 14forx + 28forx2 + -28forx2 Combine like terms: 4fmorx2 + -4fmorx2 = 0 2fmorx + -4fmorx2 + 14forx + -28forx2 + 3x = 0 + -14forx + 14forx + 28forx2 + -28forx2 2fmorx + -4fmorx2 + 14forx + -28forx2 + 3x = -14forx + 14forx + 28forx2 + -28forx2 Combine like terms: -14forx + 14forx = 0 2fmorx + -4fmorx2 + 14forx + -28forx2 + 3x = 0 + 28forx2 + -28forx2 2fmorx + -4fmorx2 + 14forx + -28forx2 + 3x = 28forx2 + -28forx2 Combine like terms: 28forx2 + -28forx2 = 0 2fmorx + -4fmorx2 + 14forx + -28forx2 + 3x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2fmor + -4fmorx + 14for + -28forx + 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 + -4fmorx + 14for + -28forx + 3)' equal to zero and attempt to solve: Simplifying 2fmor + -4fmorx + 14for + -28forx + 3 = 0 Reorder the terms: 3 + 2fmor + -4fmorx + 14for + -28forx = 0 Solving 3 + 2fmor + -4fmorx + 14for + -28forx = 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 + -4fmorx + 14for + -3 + -28forx = 0 + -3 Reorder the terms: 3 + -3 + 2fmor + -4fmorx + 14for + -28forx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2fmor + -4fmorx + 14for + -28forx = 0 + -3 2fmor + -4fmorx + 14for + -28forx = 0 + -3 Combine like terms: 0 + -3 = -3 2fmor + -4fmorx + 14for + -28forx = -3 Add '-2fmor' to each side of the equation. 2fmor + -4fmorx + 14for + -2fmor + -28forx = -3 + -2fmor Reorder the terms: 2fmor + -2fmor + -4fmorx + 14for + -28forx = -3 + -2fmor Combine like terms: 2fmor + -2fmor = 0 0 + -4fmorx + 14for + -28forx = -3 + -2fmor -4fmorx + 14for + -28forx = -3 + -2fmor Add '-14for' to each side of the equation. -4fmorx + 14for + -14for + -28forx = -3 + -2fmor + -14for Combine like terms: 14for + -14for = 0 -4fmorx + 0 + -28forx = -3 + -2fmor + -14for -4fmorx + -28forx = -3 + -2fmor + -14for 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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