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Simplifying (3x + Y) * 2x = 4x2 Reorder the terms: (Y + 3x) * 2x = 4x2 Reorder the terms for easier multiplication: 2x(Y + 3x) = 4x2 (Y * 2x + 3x * 2x) = 4x2 (2xY + 6x2) = 4x2 Solving 2xY + 6x2 = 4x2 Solving for variable 'x'. Combine like terms: 6x2 + -4x2 = 2x2 2xY + 2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 2xY + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(Y + x) = 0 Ignore the factor 2.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 '(Y + x)' equal to zero and attempt to solve: Simplifying Y + x = 0 Solving Y + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1Y' to each side of the equation. Y + -1Y + x = 0 + -1Y Combine like terms: Y + -1Y = 0 0 + x = 0 + -1Y x = 0 + -1Y Remove the zero: x = -1Y Simplifying x = -1YSolution
x = {0, -1Y}
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