4a(a-4a)-2a(7+8a)=

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Solution for 4a(a-4a)-2a(7+8a)= equation: 


Simplifying
4a(a + -4a) + -2a(7 + 8a) = 0

Combine like terms: a + -4a = -3a
4a(-3a) + -2a(7 + 8a) = 0

Remove parenthesis around (-3a)
4a * -3a + -2a(7 + 8a) = 0

Reorder the terms for easier multiplication:
4 * -3a * a + -2a(7 + 8a) = 0

Multiply 4 * -3
-12a * a + -2a(7 + 8a) = 0

Multiply a * a
-12a2 + -2a(7 + 8a) = 0
-12a2 + (7 * -2a + 8a * -2a) = 0
-12a2 + (-14a + -16a2) = 0

Reorder the terms:
-14a + -12a2 + -16a2 = 0

Combine like terms: -12a2 + -16a2 = -28a2
-14a + -28a2 = 0

Solving
-14a + -28a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-14a'.
-14a(1 + 2a) = 0

Ignore the factor -14.

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 '(1 + 2a)' equal to zero and attempt to solve:

Simplifying
1 + 2a = 0

Solving
1 + 2a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2a = 0 + -1
2a = 0 + -1

Combine like terms: 0 + -1 = -1
2a = -1

Divide each side by '2'.
a = -0.5

Simplifying
a = -0.5
Solution
a = {0, -0.5}

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