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