7a=2c(a+a)

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Solution for 7a=2c(a+a) equation:


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) = 0

Subproblem 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 = 0

Subproblem 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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