(5a^2)(-2b^2)(3b)+(7a^2)(2b^2)+(-3a)(-5a)(4b)=

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Solution for (5a^2)(-2b^2)(3b)+(7a^2)(2b^2)+(-3a)(-5a)(4b)= equation:


Simplifying
(5a2)(-2b2)(3b) + (7a2)(2b2) + (-3a)(-5a)(4b) = 0

Remove parenthesis around (5a2)
5a2(-2b2)(3b) + (7a2)(2b2) + (-3a)(-5a)(4b) = 0

Remove parenthesis around (-2b2)
5a2 * -2b2(3b) + (7a2)(2b2) + (-3a)(-5a)(4b) = 0

Remove parenthesis around (3b)
5a2 * -2b2 * 3b + (7a2)(2b2) + (-3a)(-5a)(4b) = 0

Reorder the terms for easier multiplication:
5 * -2 * 3a2 * b2 * b + (7a2)(2b2) + (-3a)(-5a)(4b) = 0

Multiply 5 * -2
-10 * 3a2 * b2 * b + (7a2)(2b2) + (-3a)(-5a)(4b) = 0

Multiply -10 * 3
-30a2 * b2 * b + (7a2)(2b2) + (-3a)(-5a)(4b) = 0

Multiply a2 * b2
-30a2b2 * b + (7a2)(2b2) + (-3a)(-5a)(4b) = 0

Multiply a2b2 * b
-30a2b3 + (7a2)(2b2) + (-3a)(-5a)(4b) = 0

Remove parenthesis around (7a2)
-30a2b3 + 7a2(2b2) + (-3a)(-5a)(4b) = 0

Remove parenthesis around (2b2)
-30a2b3 + 7a2 * 2b2 + (-3a)(-5a)(4b) = 0

Reorder the terms for easier multiplication:
-30a2b3 + 7 * 2a2 * b2 + (-3a)(-5a)(4b) = 0

Multiply 7 * 2
-30a2b3 + 14a2 * b2 + (-3a)(-5a)(4b) = 0

Multiply a2 * b2
-30a2b3 + 14a2b2 + (-3a)(-5a)(4b) = 0

Remove parenthesis around (-3a)
-30a2b3 + 14a2b2 + -3a(-5a)(4b) = 0

Remove parenthesis around (-5a)
-30a2b3 + 14a2b2 + -3a * -5a(4b) = 0

Remove parenthesis around (4b)
-30a2b3 + 14a2b2 + -3a * -5a * 4b = 0

Reorder the terms for easier multiplication:
-30a2b3 + 14a2b2 + -3 * -5 * 4a * a * b = 0

Multiply -3 * -5
-30a2b3 + 14a2b2 + 15 * 4a * a * b = 0

Multiply 15 * 4
-30a2b3 + 14a2b2 + 60a * a * b = 0

Multiply a * a
-30a2b3 + 14a2b2 + 60a2 * b = 0

Multiply a2 * b
-30a2b3 + 14a2b2 + 60a2b = 0

Reorder the terms:
60a2b + 14a2b2 + -30a2b3 = 0

Solving
60a2b + 14a2b2 + -30a2b3 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '2a2b'.
2a2b(30 + 7b + -15b2) = 0

Factor a trinomial.
2a2b((5 + -3b)(6 + 5b)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(5 + -3b)' equal to zero and attempt to solve: Simplifying 5 + -3b = 0 Solving 5 + -3b = 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 + -3b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3b = 0 + -5 -3b = 0 + -5 Combine like terms: 0 + -5 = -5 -3b = -5 Add '3b' to each side of the equation. -3b + 3b = -5 + 3b Combine like terms: -3b + 3b = 0 0 = -5 + 3b Simplifying 0 = -5 + 3b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(6 + 5b)' equal to zero and attempt to solve: Simplifying 6 + 5b = 0 Solving 6 + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5b = 0 + -6 5b = 0 + -6 Combine like terms: 0 + -6 = -6 5b = -6 Add '-5b' to each side of the equation. 5b + -5b = -6 + -5b Combine like terms: 5b + -5b = 0 0 = -6 + -5b Simplifying 0 = -6 + -5b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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