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Simplifying 32x * 15X * 6 = 40x * dx * 8 Reorder the terms for easier multiplication: 32 * 15 * 6x * X = 40x * dx * 8 Multiply 32 * 15 480 * 6x * X = 40x * dx * 8 Multiply 480 * 6 2880x * X = 40x * dx * 8 Multiply x * X 2880xX = 40x * dx * 8 Reorder the terms for easier multiplication: 2880xX = 40 * 8x * dx Multiply 40 * 8 2880xX = 320x * dx Multiply x * dx 2880xX = 320dx2 Solving 2880xX = 320dx2 Solving for variable 'x'. Reorder the terms: -320dx2 + 2880xX = 320dx2 + -320dx2 Combine like terms: 320dx2 + -320dx2 = 0 -320dx2 + 2880xX = 0 Factor out the Greatest Common Factor (GCF), '320x'. 320x(-1dx + 9X) = 0 Ignore the factor 320.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 '(-1dx + 9X)' equal to zero and attempt to solve: Simplifying -1dx + 9X = 0 Reorder the terms: 9X + -1dx = 0 Solving 9X + -1dx = 0 Move all terms containing x to the left, all other terms to the right. Add '-9X' to each side of the equation. 9X + -9X + -1dx = 0 + -9X Combine like terms: 9X + -9X = 0 0 + -1dx = 0 + -9X -1dx = 0 + -9X Remove the zero: -1dx = -9X Divide each side by '-1d'. x = 9d-1X Simplifying x = 9d-1XSolution
x = {0, 9d-1X}
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