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Simplifying 6yx2 + -15xy = 12x2y Reorder the terms: -15xy + 6x2y = 12x2y Solving -15xy + 6x2y = 12x2y Solving for variable 'x'. Combine like terms: 6x2y + -12x2y = -6x2y -15xy + -6x2y = 12x2y + -12x2y Combine like terms: 12x2y + -12x2y = 0 -15xy + -6x2y = 0 Factor out the Greatest Common Factor (GCF), '-3xy'. -3xy(5 + 2x) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {-2.5}
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