-7a(4a)-6a(5)=

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Solution for -7a(4a)-6a(5)= equation:


Simplifying
-7a(4a) + -6a(5) = 0

Remove parenthesis around (4a)
-7a * 4a + -6a(5) = 0

Reorder the terms for easier multiplication:
-7 * 4a * a + -6a(5) = 0

Multiply -7 * 4
-28a * a + -6a(5) = 0

Multiply a * a
-28a2 + -6a(5) = 0

Reorder the terms for easier multiplication:
-28a2 + -6 * 5a = 0

Multiply -6 * 5
-28a2 + -30a = 0

Reorder the terms:
-30a + -28a2 = 0

Solving
-30a + -28a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-2a'.
-2a(15 + 14a) = 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 '(15 + 14a)' equal to zero and attempt to solve: Simplifying 15 + 14a = 0 Solving 15 + 14a = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 14a = 0 + -15 14a = 0 + -15 Combine like terms: 0 + -15 = -15 14a = -15 Divide each side by '14'. a = -1.071428571 Simplifying a = -1.071428571

Solution

a = {0, -1.071428571}

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