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Simplifying 24x2 + 21xy = 0 Reorder the terms: 21xy + 24x2 = 0 Solving 21xy + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(7y + 8x) = 0 Ignore the factor 3.Subproblem 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 '(7y + 8x)' equal to zero and attempt to solve: Simplifying 7y + 8x = 0 Reorder the terms: 8x + 7y = 0 Solving 8x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 8x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 8x + 0 = 0 + -7y 8x = 0 + -7y Remove the zero: 8x = -7y Divide each side by '8'. x = -0.875y Simplifying x = -0.875ySolution
x = {0, -0.875y}
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