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