11a-3(4a^2-1a)-5a^2=

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Solution for 11a-3(4a^2-1a)-5a^2= equation:


Simplifying
11a + -3(4a2 + -1a) + -5a2 = 0

Reorder the terms:
11a + -3(-1a + 4a2) + -5a2 = 0
11a + (-1a * -3 + 4a2 * -3) + -5a2 = 0
11a + (3a + -12a2) + -5a2 = 0

Combine like terms: 11a + 3a = 14a
14a + -12a2 + -5a2 = 0

Combine like terms: -12a2 + -5a2 = -17a2
14a + -17a2 = 0

Solving
14a + -17a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(14 + -17a) = 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 '(14 + -17a)' equal to zero and attempt to solve: Simplifying 14 + -17a = 0 Solving 14 + -17a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -17a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -17a = 0 + -14 -17a = 0 + -14 Combine like terms: 0 + -14 = -14 -17a = -14 Divide each side by '-17'. a = 0.8235294118 Simplifying a = 0.8235294118

Solution

a = {0, 0.8235294118}

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