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Simplifying 7x = 7x * 16u Reorder the terms for easier multiplication: 7x = 7 * 16x * u Multiply 7 * 16 7x = 112x * u Multiply x * u 7x = 112ux Solving 7x = 112ux Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112ux' to each side of the equation. -112ux + 7x = 112ux + -112ux Combine like terms: 112ux + -112ux = 0 -112ux + 7x = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(-16u + 1) = 0 Ignore the factor 7.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 '(-16u + 1)' equal to zero and attempt to solve: Simplifying -16u + 1 = 0 Reorder the terms: 1 + -16u = 0 Solving 1 + -16u = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -16u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -16u = 0 + -1 -16u = 0 + -1 Combine like terms: 0 + -1 = -1 -16u = -1 Add '16u' to each side of the equation. -16u + 16u = -1 + 16u Combine like terms: -16u + 16u = 0 0 = -1 + 16u Simplifying 0 = -1 + 16u The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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