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Simplifying 4x + 2y(-3x + 7) = 16 Reorder the terms: 4x + 2y(7 + -3x) = 16 4x + (7 * 2y + -3x * 2y) = 16 Reorder the terms: 4x + (-6xy + 14y) = 16 4x + (-6xy + 14y) = 16 Solving 4x + -6xy + 14y = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14y' to each side of the equation. 4x + -6xy + 14y + -14y = 16 + -14y Combine like terms: 14y + -14y = 0 4x + -6xy + 0 = 16 + -14y 4x + -6xy = 16 + -14y Reorder the terms: -16 + 4x + -6xy + 14y = 16 + -14y + -16 + 14y Reorder the terms: -16 + 4x + -6xy + 14y = 16 + -16 + -14y + 14y Combine like terms: 16 + -16 = 0 -16 + 4x + -6xy + 14y = 0 + -14y + 14y -16 + 4x + -6xy + 14y = -14y + 14y Combine like terms: -14y + 14y = 0 -16 + 4x + -6xy + 14y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 2x + -3xy + 7y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + 2x + -3xy + 7y)' equal to zero and attempt to solve: Simplifying -8 + 2x + -3xy + 7y = 0 Solving -8 + 2x + -3xy + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 2x + -3xy + 8 + 7y = 0 + 8 Reorder the terms: -8 + 8 + 2x + -3xy + 7y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2x + -3xy + 7y = 0 + 8 2x + -3xy + 7y = 0 + 8 Combine like terms: 0 + 8 = 8 2x + -3xy + 7y = 8 Add '-7y' to each side of the equation. 2x + -3xy + 7y + -7y = 8 + -7y Combine like terms: 7y + -7y = 0 2x + -3xy + 0 = 8 + -7y 2x + -3xy = 8 + -7y 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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