9x(x-3)=(2x+4)(x-3)

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Solution for 9x(x-3)=(2x+4)(x-3) equation: 


Simplifying
9x(x + -3) = (2x + 4)(x + -3)

Reorder the terms:
9x(-3 + x) = (2x + 4)(x + -3)
(-3 * 9x + x * 9x) = (2x + 4)(x + -3)
(-27x + 9x2) = (2x + 4)(x + -3)

Reorder the terms:
-27x + 9x2 = (4 + 2x)(x + -3)

Reorder the terms:
-27x + 9x2 = (4 + 2x)(-3 + x)

Multiply (4 + 2x) * (-3 + x)
-27x + 9x2 = (4(-3 + x) + 2x * (-3 + x))
-27x + 9x2 = ((-3 * 4 + x * 4) + 2x * (-3 + x))
-27x + 9x2 = ((-12 + 4x) + 2x * (-3 + x))
-27x + 9x2 = (-12 + 4x + (-3 * 2x + x * 2x))
-27x + 9x2 = (-12 + 4x + (-6x + 2x2))

Combine like terms: 4x + -6x = -2x
-27x + 9x2 = (-12 + -2x + 2x2)

Solving
-27x + 9x2 = -12 + -2x + 2x2

Solving for variable 'x'.

Reorder the terms:
12 + -27x + 2x + 9x2 + -2x2 = -12 + -2x + 2x2 + 12 + 2x + -2x2

Combine like terms: -27x + 2x = -25x
12 + -25x + 9x2 + -2x2 = -12 + -2x + 2x2 + 12 + 2x + -2x2

Combine like terms: 9x2 + -2x2 = 7x2
12 + -25x + 7x2 = -12 + -2x + 2x2 + 12 + 2x + -2x2

Reorder the terms:
12 + -25x + 7x2 = -12 + 12 + -2x + 2x + 2x2 + -2x2

Combine like terms: -12 + 12 = 0
12 + -25x + 7x2 = 0 + -2x + 2x + 2x2 + -2x2
12 + -25x + 7x2 = -2x + 2x + 2x2 + -2x2

Combine like terms: -2x + 2x = 0
12 + -25x + 7x2 = 0 + 2x2 + -2x2
12 + -25x + 7x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
12 + -25x + 7x2 = 0

Factor a trinomial.
(4 + -7x)(3 + -1x) = 0


Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.5714285714, 3}

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