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Simplifying 3x + -3y(4x + -7) = 12 Reorder the terms: 3x + -3y(-7 + 4x) = 12 3x + (-7 * -3y + 4x * -3y) = 12 Reorder the terms: 3x + (-12xy + 21y) = 12 3x + (-12xy + 21y) = 12 Solving 3x + -12xy + 21y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21y' to each side of the equation. 3x + -12xy + 21y + -21y = 12 + -21y Combine like terms: 21y + -21y = 0 3x + -12xy + 0 = 12 + -21y 3x + -12xy = 12 + -21y Reorder the terms: -12 + 3x + -12xy + 21y = 12 + -21y + -12 + 21y Reorder the terms: -12 + 3x + -12xy + 21y = 12 + -12 + -21y + 21y Combine like terms: 12 + -12 = 0 -12 + 3x + -12xy + 21y = 0 + -21y + 21y -12 + 3x + -12xy + 21y = -21y + 21y Combine like terms: -21y + 21y = 0 -12 + 3x + -12xy + 21y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + x + -4xy + 7y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + x + -4xy + 7y)' equal to zero and attempt to solve: Simplifying -4 + x + -4xy + 7y = 0 Solving -4 + x + -4xy + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + x + -4xy + 4 + 7y = 0 + 4 Reorder the terms: -4 + 4 + x + -4xy + 7y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x + -4xy + 7y = 0 + 4 x + -4xy + 7y = 0 + 4 Combine like terms: 0 + 4 = 4 x + -4xy + 7y = 4 Add '-7y' to each side of the equation. x + -4xy + 7y + -7y = 4 + -7y Combine like terms: 7y + -7y = 0 x + -4xy + 0 = 4 + -7y x + -4xy = 4 + -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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