x(x+3)=3(4x)

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Solution for x(x+3)=3(4x) equation:


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

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

Remove parenthesis around (4x)
3x + x2 = 3 * 4x

Multiply 3 * 4
3x + x2 = 12x

Solving
3x + x2 = 12x

Solving for variable 'x'.

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

Combine like terms: 3x + -12x = -9x
-9x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-9x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-9 + x) = 0

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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9

Solution

x = {0, 9}

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