6(2x+x)(x-28)=0

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Solution for 6(2x+x)(x-28)=0 equation:


Simplifying
6(2x + x)(x + -28) = 0

Combine like terms: 2x + x = 3x
6(3x)(x + -28) = 0

Remove parenthesis around (3x)
6 * 3x(x + -28) = 0

Reorder the terms:
6 * 3x(-28 + x) = 0

Multiply 6 * 3
18x(-28 + x) = 0
(-28 * 18x + x * 18x) = 0
(-504x + 18x2) = 0

Solving
-504x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18x'.
18x(-28 + x) = 0

Ignore the factor 18.

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 '(-28 + x)' equal to zero and attempt to solve: Simplifying -28 + x = 0 Solving -28 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + x = 0 + 28 x = 0 + 28 Combine like terms: 0 + 28 = 28 x = 28 Simplifying x = 28

Solution

x = {0, 28}

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