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Simplifying (5x + -2y)(3x + -3y) = -21 + 6y2 Multiply (5x + -2y) * (3x + -3y) (5x * (3x + -3y) + -2y * (3x + -3y)) = -21 + 6y2 ((3x * 5x + -3y * 5x) + -2y * (3x + -3y)) = -21 + 6y2 Reorder the terms: ((-15xy + 15x2) + -2y * (3x + -3y)) = -21 + 6y2 ((-15xy + 15x2) + -2y * (3x + -3y)) = -21 + 6y2 (-15xy + 15x2 + (3x * -2y + -3y * -2y)) = -21 + 6y2 (-15xy + 15x2 + (-6xy + 6y2)) = -21 + 6y2 Reorder the terms: (-15xy + -6xy + 15x2 + 6y2) = -21 + 6y2 Combine like terms: -15xy + -6xy = -21xy (-21xy + 15x2 + 6y2) = -21 + 6y2 Add '-6y2' to each side of the equation. -21xy + 15x2 + 6y2 + -6y2 = -21 + 6y2 + -6y2 Combine like terms: 6y2 + -6y2 = 0 -21xy + 15x2 + 0 = -21 + 6y2 + -6y2 -21xy + 15x2 = -21 + 6y2 + -6y2 Combine like terms: 6y2 + -6y2 = 0 -21xy + 15x2 = -21 + 0 -21xy + 15x2 = -21 Solving -21xy + 15x2 = -21 Solving for variable 'x'. Reorder the terms: 21 + -21xy + 15x2 = -21 + 21 Combine like terms: -21 + 21 = 0 21 + -21xy + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(7 + -7xy + 5x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + -7xy + 5x2)' equal to zero and attempt to solve: Simplifying 7 + -7xy + 5x2 = 0 Solving 7 + -7xy + 5x2 = 0 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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