f(2a)=2a^2+4*2a

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Solution for f(2a)=2a^2+4*2a equation:


Simplifying
f(2a) = 2a2 + 4 * 2a

Remove parenthesis around (2a)
f * 2a = 2a2 + 4 * 2a

Reorder the terms for easier multiplication:
2f * a = 2a2 + 4 * 2a

Multiply f * a
2af = 2a2 + 4 * 2a

Multiply 4 * 2
2af = 2a2 + 8a

Reorder the terms:
2af = 8a + 2a2

Solving
2af = 8a + 2a2

Solving for variable 'a'.

Reorder the terms:
-8a + 2af + -2a2 = 8a + 2a2 + -8a + -2a2

Reorder the terms:
-8a + 2af + -2a2 = 8a + -8a + 2a2 + -2a2

Combine like terms: 8a + -8a = 0
-8a + 2af + -2a2 = 0 + 2a2 + -2a2
-8a + 2af + -2a2 = 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
-8a + 2af + -2a2 = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-4 + f + -1a) = 0

Ignore the factor 2.

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 '(-4 + f + -1a)' equal to zero and attempt to solve: Simplifying -4 + f + -1a = 0 Reorder the terms: -4 + -1a + f = 0 Solving -4 + -1a + f = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1a + 4 + f = 0 + 4 Reorder the terms: -4 + 4 + -1a + f = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1a + f = 0 + 4 -1a + f = 0 + 4 Combine like terms: 0 + 4 = 4 -1a + f = 4 Add '-1f' to each side of the equation. -1a + f + -1f = 4 + -1f Combine like terms: f + -1f = 0 -1a + 0 = 4 + -1f -1a = 4 + -1f Divide each side by '-1'. a = -4 + f Simplifying a = -4 + f

Solution

a = {0, -4 + f}

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