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Simplifying (4 + -8y)(x + -7) = 0 Reorder the terms: (4 + -8y)(-7 + x) = 0 Multiply (4 + -8y) * (-7 + x) (4(-7 + x) + -8y * (-7 + x)) = 0 ((-7 * 4 + x * 4) + -8y * (-7 + x)) = 0 ((-28 + 4x) + -8y * (-7 + x)) = 0 (-28 + 4x + (-7 * -8y + x * -8y)) = 0 Reorder the terms: (-28 + 4x + (-8xy + 56y)) = 0 (-28 + 4x + (-8xy + 56y)) = 0 (-28 + 4x + -8xy + 56y) = 0 Solving -28 + 4x + -8xy + 56y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 4x + -8xy + 28 + 56y = 0 + 28 Reorder the terms: -28 + 28 + 4x + -8xy + 56y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 4x + -8xy + 56y = 0 + 28 4x + -8xy + 56y = 0 + 28 Combine like terms: 0 + 28 = 28 4x + -8xy + 56y = 28 Add '-56y' to each side of the equation. 4x + -8xy + 56y + -56y = 28 + -56y Combine like terms: 56y + -56y = 0 4x + -8xy + 0 = 28 + -56y 4x + -8xy = 28 + -56y Reorder the terms: -28 + 4x + -8xy + 56y = 28 + -56y + -28 + 56y Reorder the terms: -28 + 4x + -8xy + 56y = 28 + -28 + -56y + 56y Combine like terms: 28 + -28 = 0 -28 + 4x + -8xy + 56y = 0 + -56y + 56y -28 + 4x + -8xy + 56y = -56y + 56y Combine like terms: -56y + 56y = 0 -28 + 4x + -8xy + 56y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + x + -2xy + 14y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + x + -2xy + 14y)' equal to zero and attempt to solve: Simplifying -7 + x + -2xy + 14y = 0 Solving -7 + x + -2xy + 14y = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + x + -2xy + 7 + 14y = 0 + 7 Reorder the terms: -7 + 7 + x + -2xy + 14y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x + -2xy + 14y = 0 + 7 x + -2xy + 14y = 0 + 7 Combine like terms: 0 + 7 = 7 x + -2xy + 14y = 7 Add '-14y' to each side of the equation. x + -2xy + 14y + -14y = 7 + -14y Combine like terms: 14y + -14y = 0 x + -2xy + 0 = 7 + -14y x + -2xy = 7 + -14y 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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