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Simplifying 0.75(12x + -8y) + -7(3x + 5xy) = 0 (12x * 0.75 + -8y * 0.75) + -7(3x + 5xy) = 0 (9x + -6y) + -7(3x + 5xy) = 0 9x + -6y + (3x * -7 + 5xy * -7) = 0 9x + -6y + (-21x + -35xy) = 0 Reorder the terms: 9x + -21x + -35xy + -6y = 0 Combine like terms: 9x + -21x = -12x -12x + -35xy + -6y = 0 Solving -12x + -35xy + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. -12x + -35xy + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 -12x + -35xy + 0 = 0 + 6y -12x + -35xy = 0 + 6y Remove the zero: -12x + -35xy = 6y Combine like terms: 6y + -6y = 0 -12x + -35xy + -6y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(12x + 35xy + 6y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(12x + 35xy + 6y)' equal to zero and attempt to solve: Simplifying 12x + 35xy + 6y = 0 Solving 12x + 35xy + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 12x + 35xy + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 12x + 35xy + 0 = 0 + -6y 12x + 35xy = 0 + -6y Remove the zero: 12x + 35xy = -6y 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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