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Simplifying 2x(3x + -7Y + 4) = 0 Reorder the terms: 2x(4 + -7Y + 3x) = 0 (4 * 2x + -7Y * 2x + 3x * 2x) = 0 (8x + -14xY + 6x2) = 0 Solving 8x + -14xY + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(4 + -7Y + 3x) = 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 '(4 + -7Y + 3x)' equal to zero and attempt to solve: Simplifying 4 + -7Y + 3x = 0 Solving 4 + -7Y + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -7Y + -4 + 3x = 0 + -4 Reorder the terms: 4 + -4 + -7Y + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7Y + 3x = 0 + -4 -7Y + 3x = 0 + -4 Combine like terms: 0 + -4 = -4 -7Y + 3x = -4 Add '7Y' to each side of the equation. -7Y + 7Y + 3x = -4 + 7Y Combine like terms: -7Y + 7Y = 0 0 + 3x = -4 + 7Y 3x = -4 + 7Y Divide each side by '3'. x = -1.333333333 + 2.333333333Y Simplifying x = -1.333333333 + 2.333333333YSolution
x = {0, -1.333333333 + 2.333333333Y}
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