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Simplifying 7a = 2c(a + a) Combine like terms: a + a = 2a 7a = 2c(2a) Remove parenthesis around (2a) 7a = 2c * 2a Reorder the terms for easier multiplication: 7a = 2 * 2c * a Multiply 2 * 2 7a = 4c * a Multiply c * a 7a = 4ac Solving 7a = 4ac Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4ac' to each side of the equation. 7a + -4ac = 4ac + -4ac Combine like terms: 4ac + -4ac = 0 7a + -4ac = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(7 + -4c) = 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 + -4c)' equal to zero and attempt to solve: Simplifying 7 + -4c = 0 Solving 7 + -4c = 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 + -4c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4c = 0 + -7 -4c = 0 + -7 Combine like terms: 0 + -7 = -7 -4c = -7 Add '4c' to each side of the equation. -4c + 4c = -7 + 4c Combine like terms: -4c + 4c = 0 0 = -7 + 4c Simplifying 0 = -7 + 4c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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