x(3x-9)=(3x+7)(x-3)

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Solution for x(3x-9)=(3x+7)(x-3) equation:


Simplifying
x(3x + -9) = (3x + 7)(x + -3)

Reorder the terms:
x(-9 + 3x) = (3x + 7)(x + -3)
(-9 * x + 3x * x) = (3x + 7)(x + -3)
(-9x + 3x2) = (3x + 7)(x + -3)

Reorder the terms:
-9x + 3x2 = (7 + 3x)(x + -3)

Reorder the terms:
-9x + 3x2 = (7 + 3x)(-3 + x)

Multiply (7 + 3x) * (-3 + x)
-9x + 3x2 = (7(-3 + x) + 3x * (-3 + x))
-9x + 3x2 = ((-3 * 7 + x * 7) + 3x * (-3 + x))
-9x + 3x2 = ((-21 + 7x) + 3x * (-3 + x))
-9x + 3x2 = (-21 + 7x + (-3 * 3x + x * 3x))
-9x + 3x2 = (-21 + 7x + (-9x + 3x2))

Combine like terms: 7x + -9x = -2x
-9x + 3x2 = (-21 + -2x + 3x2)

Add '-3x2' to each side of the equation.
-9x + 3x2 + -3x2 = -21 + -2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-9x + 0 = -21 + -2x + 3x2 + -3x2
-9x = -21 + -2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-9x = -21 + -2x + 0
-9x = -21 + -2x

Solving
-9x = -21 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9x + 2x = -21 + -2x + 2x

Combine like terms: -9x + 2x = -7x
-7x = -21 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7x = -21 + 0
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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