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Simplifying 3x(4 + 2y) + -13x(-11 + 8y) = 0 (4 * 3x + 2y * 3x) + -13x(-11 + 8y) = 0 (12x + 6xy) + -13x(-11 + 8y) = 0 12x + 6xy + (-11 * -13x + 8y * -13x) = 0 12x + 6xy + (143x + -104xy) = 0 Reorder the terms: 12x + 143x + 6xy + -104xy = 0 Combine like terms: 12x + 143x = 155x 155x + 6xy + -104xy = 0 Combine like terms: 6xy + -104xy = -98xy 155x + -98xy = 0 Solving 155x + -98xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(155 + -98y) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(155 + -98y)' equal to zero and attempt to solve: Simplifying 155 + -98y = 0 Solving 155 + -98y = 0 Move all terms containing x to the left, all other terms to the right. Add '-155' to each side of the equation. 155 + -155 + -98y = 0 + -155 Combine like terms: 155 + -155 = 0 0 + -98y = 0 + -155 -98y = 0 + -155 Combine like terms: 0 + -155 = -155 -98y = -155 Add '98y' to each side of the equation. -98y + 98y = -155 + 98y Combine like terms: -98y + 98y = 0 0 = -155 + 98y Simplifying 0 = -155 + 98y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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