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Simplifying (w + -3) * X(w + 7) = 0 Reorder the terms: (-3 + w) * X(w + 7) = 0 Reorder the terms: (-3 + w) * X(7 + w) = 0 Reorder the terms for easier multiplication: X(-3 + w)(7 + w) = 0 Multiply (-3 + w) * (7 + w) X(-3(7 + w) + w(7 + w)) = 0 X((7 * -3 + w * -3) + w(7 + w)) = 0 X((-21 + -3w) + w(7 + w)) = 0 X(-21 + -3w + (7 * w + w * w)) = 0 X(-21 + -3w + (7w + w2)) = 0 Combine like terms: -3w + 7w = 4w X(-21 + 4w + w2) = 0 (-21 * X + 4w * X + w2 * X) = 0 (-21X + 4wX + w2X) = 0 Solving -21X + 4wX + w2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'X'. X(-21 + 4w + w2) = 0 Factor a trinomial. X((-7 + -1w)(3 + -1w)) = 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 '(-7 + -1w)' equal to zero and attempt to solve: Simplifying -7 + -1w = 0 Solving -7 + -1w = 0 Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = 0 + 7 -1w = 0 + 7 Combine like terms: 0 + 7 = 7 -1w = 7 Add 'w' to each side of the equation. -1w + w = 7 + w Combine like terms: -1w + w = 0 0 = 7 + w Simplifying 0 = 7 + w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Add 'w' to each side of the equation. -1w + w = -3 + w Combine like terms: -1w + w = 0 0 = -3 + w Simplifying 0 = -3 + w 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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