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Simplifying 4(X + 3)(2x + -5) = 0 Reorder the terms: 4(3 + X)(2x + -5) = 0 Reorder the terms: 4(3 + X)(-5 + 2x) = 0 Multiply (3 + X) * (-5 + 2x) 4(3(-5 + 2x) + X(-5 + 2x)) = 0 4((-5 * 3 + 2x * 3) + X(-5 + 2x)) = 0 4((-15 + 6x) + X(-5 + 2x)) = 0 4(-15 + 6x + (-5 * X + 2x * X)) = 0 4(-15 + 6x + (-5X + 2xX)) = 0 Reorder the terms: 4(-15 + -5X + 6x + 2xX) = 0 4(-15 + -5X + 6x + 2xX) = 0 (-15 * 4 + -5X * 4 + 6x * 4 + 2xX * 4) = 0 (-60 + -20X + 24x + 8xX) = 0 Solving -60 + -20X + 24x + 8xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -20X + 24x + 60 + 8xX = 0 + 60 Reorder the terms: -60 + 60 + -20X + 24x + 8xX = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -20X + 24x + 8xX = 0 + 60 -20X + 24x + 8xX = 0 + 60 Combine like terms: 0 + 60 = 60 -20X + 24x + 8xX = 60 Add '-24x' to each side of the equation. -20X + 24x + -24x + 8xX = 60 + -24x Combine like terms: 24x + -24x = 0 -20X + 0 + 8xX = 60 + -24x -20X + 8xX = 60 + -24x Reorder the terms: -60 + -20X + 24x + 8xX = 60 + -24x + -60 + 24x Reorder the terms: -60 + -20X + 24x + 8xX = 60 + -60 + -24x + 24x Combine like terms: 60 + -60 = 0 -60 + -20X + 24x + 8xX = 0 + -24x + 24x -60 + -20X + 24x + 8xX = -24x + 24x Combine like terms: -24x + 24x = 0 -60 + -20X + 24x + 8xX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-15 + -5X + 6x + 2xX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-15 + -5X + 6x + 2xX)' equal to zero and attempt to solve: Simplifying -15 + -5X + 6x + 2xX = 0 Solving -15 + -5X + 6x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -5X + 6x + 15 + 2xX = 0 + 15 Reorder the terms: -15 + 15 + -5X + 6x + 2xX = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5X + 6x + 2xX = 0 + 15 -5X + 6x + 2xX = 0 + 15 Combine like terms: 0 + 15 = 15 -5X + 6x + 2xX = 15 Add '-6x' to each side of the equation. -5X + 6x + -6x + 2xX = 15 + -6x Combine like terms: 6x + -6x = 0 -5X + 0 + 2xX = 15 + -6x -5X + 2xX = 15 + -6x 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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