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Simplifying 4x(9x + -7y) = 0 (9x * 4x + -7y * 4x) = 0 Reorder the terms: (-28xy + 36x2) = 0 (-28xy + 36x2) = 0 Solving -28xy + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-7y + 9x) = 0 Ignore the factor 4.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 + 9x)' equal to zero and attempt to solve: Simplifying -7y + 9x = 0 Reorder the terms: 9x + -7y = 0 Solving 9x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 9x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 9x + 0 = 0 + 7y 9x = 0 + 7y Remove the zero: 9x = 7y Divide each side by '9'. x = 0.7777777778y Simplifying x = 0.7777777778ySolution
x = {0, 0.7777777778y}
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