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Simplifying 3y2 = 2(6xy) Remove parenthesis around (6xy) 3y2 = 2 * 6xy Multiply 2 * 6 3y2 = 12xy Solving 3y2 = 12xy Solving for variable 'y'. Reorder the terms: -12xy + 3y2 = 12xy + -12xy Combine like terms: 12xy + -12xy = 0 -12xy + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(-4x + y) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-4x + y)' equal to zero and attempt to solve: Simplifying -4x + y = 0 Solving -4x + y = 0 Move all terms containing y to the left, all other terms to the right. Add '4x' to each side of the equation. -4x + 4x + y = 0 + 4x Combine like terms: -4x + 4x = 0 0 + y = 0 + 4x y = 0 + 4x Remove the zero: y = 4x Simplifying y = 4xSolution
y = {0, 4x}
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