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Simplifying a3 + 3a = 10a Reorder the terms: 3a + a3 = 10a Solving 3a + a3 = 10a Solving for variable 'a'. Reorder the terms: 3a + -10a + a3 = 10a + -10a Combine like terms: 3a + -10a = -7a -7a + a3 = 10a + -10a Combine like terms: 10a + -10a = 0 -7a + a3 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-7 + a2) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(-7 + a2)' equal to zero and attempt to solve: Simplifying -7 + a2 = 0 Solving -7 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + a2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + a2 = 0 + 7 a2 = 0 + 7 Combine like terms: 0 + 7 = 7 a2 = 7 Simplifying a2 = 7 Take the square root of each side: a = {-2.645751311, 2.645751311}Solution
a = {0, -2.645751311, 2.645751311}
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