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Simplifying 8(2X + 3)(x + -4) = 0 Reorder the terms: 8(3 + 2X)(x + -4) = 0 Reorder the terms: 8(3 + 2X)(-4 + x) = 0 Multiply (3 + 2X) * (-4 + x) 8(3(-4 + x) + 2X * (-4 + x)) = 0 8((-4 * 3 + x * 3) + 2X * (-4 + x)) = 0 8((-12 + 3x) + 2X * (-4 + x)) = 0 8(-12 + 3x + (-4 * 2X + x * 2X)) = 0 8(-12 + 3x + (-8X + 2xX)) = 0 Reorder the terms: 8(-12 + -8X + 3x + 2xX) = 0 8(-12 + -8X + 3x + 2xX) = 0 (-12 * 8 + -8X * 8 + 3x * 8 + 2xX * 8) = 0 (-96 + -64X + 24x + 16xX) = 0 Solving -96 + -64X + 24x + 16xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '96' to each side of the equation. -96 + -64X + 24x + 96 + 16xX = 0 + 96 Reorder the terms: -96 + 96 + -64X + 24x + 16xX = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -64X + 24x + 16xX = 0 + 96 -64X + 24x + 16xX = 0 + 96 Combine like terms: 0 + 96 = 96 -64X + 24x + 16xX = 96 Add '-24x' to each side of the equation. -64X + 24x + -24x + 16xX = 96 + -24x Combine like terms: 24x + -24x = 0 -64X + 0 + 16xX = 96 + -24x -64X + 16xX = 96 + -24x Reorder the terms: -96 + -64X + 24x + 16xX = 96 + -24x + -96 + 24x Reorder the terms: -96 + -64X + 24x + 16xX = 96 + -96 + -24x + 24x Combine like terms: 96 + -96 = 0 -96 + -64X + 24x + 16xX = 0 + -24x + 24x -96 + -64X + 24x + 16xX = -24x + 24x Combine like terms: -24x + 24x = 0 -96 + -64X + 24x + 16xX = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-12 + -8X + 3x + 2xX) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-12 + -8X + 3x + 2xX)' equal to zero and attempt to solve: Simplifying -12 + -8X + 3x + 2xX = 0 Solving -12 + -8X + 3x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -8X + 3x + 12 + 2xX = 0 + 12 Reorder the terms: -12 + 12 + -8X + 3x + 2xX = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -8X + 3x + 2xX = 0 + 12 -8X + 3x + 2xX = 0 + 12 Combine like terms: 0 + 12 = 12 -8X + 3x + 2xX = 12 Add '-3x' to each side of the equation. -8X + 3x + -3x + 2xX = 12 + -3x Combine like terms: 3x + -3x = 0 -8X + 0 + 2xX = 12 + -3x -8X + 2xX = 12 + -3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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