4x(x+9)=6x

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Solution for 4x(x+9)=6x equation:


Simplifying
4x(x + 9) = 6x

Reorder the terms:
4x(9 + x) = 6x
(9 * 4x + x * 4x) = 6x
(36x + 4x2) = 6x

Solving
36x + 4x2 = 6x

Solving for variable 'x'.

Reorder the terms:
36x + -6x + 4x2 = 6x + -6x

Combine like terms: 36x + -6x = 30x
30x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
30x + 4x2 = 0

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

Ignore the factor 2.

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 '(15 + 2x)' equal to zero and attempt to solve:

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 0 + -15
2x = 0 + -15

Combine like terms: 0 + -15 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5
Solution
x = {0, -7.5}

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