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Simplifying 25a3 + -49a = 0 Reorder the terms: -49a + 25a3 = 0 Solving -49a + 25a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-49 + 25a2) = 0 Factor a difference between two squares. a((7 + 5a)(-7 + 5a)) = 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 + 5a)' equal to zero and attempt to solve: Simplifying 7 + 5a = 0 Solving 7 + 5a = 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 + 5a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5a = 0 + -7 5a = 0 + -7 Combine like terms: 0 + -7 = -7 5a = -7 Divide each side by '5'. a = -1.4 Simplifying a = -1.4Subproblem 3
Set the factor '(-7 + 5a)' equal to zero and attempt to solve: Simplifying -7 + 5a = 0 Solving -7 + 5a = 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 + 5a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5a = 0 + 7 5a = 0 + 7 Combine like terms: 0 + 7 = 7 5a = 7 Divide each side by '5'. a = 1.4 Simplifying a = 1.4Solution
a = {0, -1.4, 1.4}
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