5x(3x)=2x-4(8x)

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Solution for 5x(3x)=2x-4(8x) equation: 


Simplifying
5x(3x) = 2x + -4(8x)

Remove parenthesis around (3x)
5x * 3x = 2x + -4(8x)

Reorder the terms for easier multiplication:
5 * 3x * x = 2x + -4(8x)

Multiply 5 * 3
15x * x = 2x + -4(8x)

Multiply x * x
15x2 = 2x + -4(8x)

Remove parenthesis around (8x)
15x2 = 2x + -4 * 8x

Multiply -4 * 8
15x2 = 2x + -32x

Combine like terms: 2x + -32x = -30x
15x2 = -30x

Solving
15x2 = -30x

Solving for variable 'x'.

Reorder the terms:
30x + 15x2 = -30x + 30x

Combine like terms: -30x + 30x = 0
30x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '15x'.
15x(2 + x) = 0

Ignore the factor 15.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0, -2}

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