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Simplifying 2x(3y + 4) + 4y = 38 Reorder the terms: 2x(4 + 3y) + 4y = 38 (4 * 2x + 3y * 2x) + 4y = 38 (8x + 6xy) + 4y = 38 Solving 8x + 6xy + 4y = 38 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. 8x + 6xy + 4y + -4y = 38 + -4y Combine like terms: 4y + -4y = 0 8x + 6xy + 0 = 38 + -4y 8x + 6xy = 38 + -4y Reorder the terms: -38 + 8x + 6xy + 4y = 38 + -4y + -38 + 4y Reorder the terms: -38 + 8x + 6xy + 4y = 38 + -38 + -4y + 4y Combine like terms: 38 + -38 = 0 -38 + 8x + 6xy + 4y = 0 + -4y + 4y -38 + 8x + 6xy + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 -38 + 8x + 6xy + 4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-19 + 4x + 3xy + 2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-19 + 4x + 3xy + 2y)' equal to zero and attempt to solve: Simplifying -19 + 4x + 3xy + 2y = 0 Solving -19 + 4x + 3xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 4x + 3xy + 19 + 2y = 0 + 19 Reorder the terms: -19 + 19 + 4x + 3xy + 2y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 4x + 3xy + 2y = 0 + 19 4x + 3xy + 2y = 0 + 19 Combine like terms: 0 + 19 = 19 4x + 3xy + 2y = 19 Add '-2y' to each side of the equation. 4x + 3xy + 2y + -2y = 19 + -2y Combine like terms: 2y + -2y = 0 4x + 3xy + 0 = 19 + -2y 4x + 3xy = 19 + -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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