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Simplifying -5x(6 + 4y) = 21 (6 * -5x + 4y * -5x) = 21 (-30x + -20xy) = 21 Solving -30x + -20xy = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -21 + -30x + -20xy = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -30x + -20xy = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(21 + 30x + 20xy) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(21 + 30x + 20xy)' equal to zero and attempt to solve: Simplifying 21 + 30x + 20xy = 0 Solving 21 + 30x + 20xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 30x + -21 + 20xy = 0 + -21 Reorder the terms: 21 + -21 + 30x + 20xy = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 30x + 20xy = 0 + -21 30x + 20xy = 0 + -21 Combine like terms: 0 + -21 = -21 30x + 20xy = -21 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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