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Simplifying 7u * 7u = 14u Reorder the terms for easier multiplication: 7 * 7u * u = 14u Multiply 7 * 7 49u * u = 14u Multiply u * u 49u2 = 14u Solving 49u2 = 14u Solving for variable 'u'. Reorder the terms: -14u + 49u2 = 14u + -14u Combine like terms: 14u + -14u = 0 -14u + 49u2 = 0 Factor out the Greatest Common Factor (GCF), '7u'. 7u(-2 + 7u) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(-2 + 7u)' equal to zero and attempt to solve: Simplifying -2 + 7u = 0 Solving -2 + 7u = 0 Move all terms containing u to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7u = 0 + 2 7u = 0 + 2 Combine like terms: 0 + 2 = 2 7u = 2 Divide each side by '7'. u = 0.2857142857 Simplifying u = 0.2857142857Solution
u = {0, 0.2857142857}
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