(7a-3a)*(2a^2+5a)=

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Solution for (7a-3a)*(2a^2+5a)= equation:


Simplifying
(7a + -3a)(2a2 + 5a) = 0

Combine like terms: 7a + -3a = 4a
(4a)(2a2 + 5a) = 0

Remove parenthesis around (4a)
4a(2a2 + 5a) = 0

Reorder the terms:
4a(5a + 2a2) = 0
(5a * 4a + 2a2 * 4a) = 0
(20a2 + 8a3) = 0

Solving
20a2 + 8a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a2'.
4a2(5 + 2a) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(5 + 2a)' equal to zero and attempt to solve: Simplifying 5 + 2a = 0 Solving 5 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 0 + -5 2a = 0 + -5 Combine like terms: 0 + -5 = -5 2a = -5 Divide each side by '2'. a = -2.5 Simplifying a = -2.5

Solution

a = {0, -2.5}

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