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Simplifying 4x + -2y(x + 8) = -12 Reorder the terms: 4x + -2y(8 + x) = -12 4x + (8 * -2y + x * -2y) = -12 Reorder the terms: 4x + (-2xy + -16y) = -12 4x + (-2xy + -16y) = -12 Solving 4x + -2xy + -16y = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16y' to each side of the equation. 4x + -2xy + -16y + 16y = -12 + 16y Combine like terms: -16y + 16y = 0 4x + -2xy + 0 = -12 + 16y 4x + -2xy = -12 + 16y Reorder the terms: 12 + 4x + -2xy + -16y = -12 + 16y + 12 + -16y Reorder the terms: 12 + 4x + -2xy + -16y = -12 + 12 + 16y + -16y Combine like terms: -12 + 12 = 0 12 + 4x + -2xy + -16y = 0 + 16y + -16y 12 + 4x + -2xy + -16y = 16y + -16y Combine like terms: 16y + -16y = 0 12 + 4x + -2xy + -16y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 2x + -1xy + -8y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + 2x + -1xy + -8y)' equal to zero and attempt to solve: Simplifying 6 + 2x + -1xy + -8y = 0 Solving 6 + 2x + -1xy + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2x + -1xy + -6 + -8y = 0 + -6 Reorder the terms: 6 + -6 + 2x + -1xy + -8y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + -1xy + -8y = 0 + -6 2x + -1xy + -8y = 0 + -6 Combine like terms: 0 + -6 = -6 2x + -1xy + -8y = -6 Add '8y' to each side of the equation. 2x + -1xy + -8y + 8y = -6 + 8y Combine like terms: -8y + 8y = 0 2x + -1xy + 0 = -6 + 8y 2x + -1xy = -6 + 8y 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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