3x^2(4y+5)=

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Solution for 3x^2(4y+5)= equation:


Simplifying
3x2(4y + 5) = 0

Reorder the terms:
3x2(5 + 4y) = 0
(5 * 3x2 + 4y * 3x2) = 0
(15x2 + 12x2y) = 0

Solving
15x2 + 12x2y = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(5 + 4y) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(5 + 4y)' equal to zero and attempt to solve: Simplifying 5 + 4y = 0 Solving 5 + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = 0 + -5 4y = 0 + -5 Combine like terms: 0 + -5 = -5 4y = -5 Add '-4y' to each side of the equation. 4y + -4y = -5 + -4y Combine like terms: 4y + -4y = 0 0 = -5 + -4y Simplifying 0 = -5 + -4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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