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Simplifying (X + -7)(6 + 4x) = 0 Reorder the terms: (-7 + X)(6 + 4x) = 0 Multiply (-7 + X) * (6 + 4x) (-7(6 + 4x) + X(6 + 4x)) = 0 ((6 * -7 + 4x * -7) + X(6 + 4x)) = 0 ((-42 + -28x) + X(6 + 4x)) = 0 (-42 + -28x + (6 * X + 4x * X)) = 0 (-42 + -28x + (6X + 4xX)) = 0 Reorder the terms: (-42 + 6X + -28x + 4xX) = 0 (-42 + 6X + -28x + 4xX) = 0 Solving -42 + 6X + -28x + 4xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 6X + -28x + 42 + 4xX = 0 + 42 Reorder the terms: -42 + 42 + 6X + -28x + 4xX = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 6X + -28x + 4xX = 0 + 42 6X + -28x + 4xX = 0 + 42 Combine like terms: 0 + 42 = 42 6X + -28x + 4xX = 42 Add '28x' to each side of the equation. 6X + -28x + 28x + 4xX = 42 + 28x Combine like terms: -28x + 28x = 0 6X + 0 + 4xX = 42 + 28x 6X + 4xX = 42 + 28x Reorder the terms: -42 + 6X + -28x + 4xX = 42 + 28x + -42 + -28x Reorder the terms: -42 + 6X + -28x + 4xX = 42 + -42 + 28x + -28x Combine like terms: 42 + -42 = 0 -42 + 6X + -28x + 4xX = 0 + 28x + -28x -42 + 6X + -28x + 4xX = 28x + -28x Combine like terms: 28x + -28x = 0 -42 + 6X + -28x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + 3X + -14x + 2xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + 3X + -14x + 2xX)' equal to zero and attempt to solve: Simplifying -21 + 3X + -14x + 2xX = 0 Solving -21 + 3X + -14x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 3X + -14x + 21 + 2xX = 0 + 21 Reorder the terms: -21 + 21 + 3X + -14x + 2xX = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 3X + -14x + 2xX = 0 + 21 3X + -14x + 2xX = 0 + 21 Combine like terms: 0 + 21 = 21 3X + -14x + 2xX = 21 Add '14x' to each side of the equation. 3X + -14x + 14x + 2xX = 21 + 14x Combine like terms: -14x + 14x = 0 3X + 0 + 2xX = 21 + 14x 3X + 2xX = 21 + 14x 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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