27a^2+216a+128=8a+128

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Solution for 27a^2+216a+128=8a+128 equation:


Simplifying
27a2 + 216a + 128 = 8a + 128

Reorder the terms:
128 + 216a + 27a2 = 8a + 128

Reorder the terms:
128 + 216a + 27a2 = 128 + 8a

Add '-128' to each side of the equation.
128 + 216a + -128 + 27a2 = 128 + -128 + 8a

Reorder the terms:
128 + -128 + 216a + 27a2 = 128 + -128 + 8a

Combine like terms: 128 + -128 = 0
0 + 216a + 27a2 = 128 + -128 + 8a
216a + 27a2 = 128 + -128 + 8a

Combine like terms: 128 + -128 = 0
216a + 27a2 = 0 + 8a
216a + 27a2 = 8a

Solving
216a + 27a2 = 8a

Solving for variable 'a'.

Reorder the terms:
216a + -8a + 27a2 = 8a + -8a

Combine like terms: 216a + -8a = 208a
208a + 27a2 = 8a + -8a

Combine like terms: 8a + -8a = 0
208a + 27a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(208 + 27a) = 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 '(208 + 27a)' equal to zero and attempt to solve: Simplifying 208 + 27a = 0 Solving 208 + 27a = 0 Move all terms containing a to the left, all other terms to the right. Add '-208' to each side of the equation. 208 + -208 + 27a = 0 + -208 Combine like terms: 208 + -208 = 0 0 + 27a = 0 + -208 27a = 0 + -208 Combine like terms: 0 + -208 = -208 27a = -208 Divide each side by '27'. a = -7.703703704 Simplifying a = -7.703703704

Solution

a = {0, -7.703703704}

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