3x(x-4)=18x

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Solution for 3x(x-4)=18x equation:


Simplifying
3x(x + -4) = 18x

Reorder the terms:
3x(-4 + x) = 18x
(-4 * 3x + x * 3x) = 18x
(-12x + 3x2) = 18x

Solving
-12x + 3x2 = 18x

Solving for variable 'x'.

Reorder the terms:
-12x + -18x + 3x2 = 18x + -18x

Combine like terms: -12x + -18x = -30x
-30x + 3x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
-30x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-10 + x) = 0

Ignore the factor 3.

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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10

Solution

x = {0, 10}

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