3*(x*x-4)=x*(3x-9)

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


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

Multiply x * x
3(x2 + -4) = x(3x + -9)

Reorder the terms:
3(-4 + x2) = x(3x + -9)
(-4 * 3 + x2 * 3) = x(3x + -9)
(-12 + 3x2) = x(3x + -9)

Reorder the terms:
-12 + 3x2 = x(-9 + 3x)
-12 + 3x2 = (-9 * x + 3x * x)
-12 + 3x2 = (-9x + 3x2)

Add '-3x2' to each side of the equation.
-12 + 3x2 + -3x2 = -9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-12 + 0 = -9x + 3x2 + -3x2
-12 = -9x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-12 = -9x + 0
-12 = -9x

Solving
-12 = -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-12 + 9x = -9x + 9x

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

Add '12' to each side of the equation.
-12 + 12 + 9x = 0 + 12

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

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

Divide each side by '9'.
x = 1.333333333

Simplifying
x = 1.333333333

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