9x-13x^2=3x(x+3)-9

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Solution for 9x-13x^2=3x(x+3)-9 equation: 


Simplifying
9x + -13x2 = 3x(x + 3) + -9

Reorder the terms:
9x + -13x2 = 3x(3 + x) + -9
9x + -13x2 = (3 * 3x + x * 3x) + -9
9x + -13x2 = (9x + 3x2) + -9

Reorder the terms:
9x + -13x2 = -9 + 9x + 3x2

Add '-9x' to each side of the equation.
9x + -9x + -13x2 = -9 + 9x + -9x + 3x2

Combine like terms: 9x + -9x = 0
0 + -13x2 = -9 + 9x + -9x + 3x2
-13x2 = -9 + 9x + -9x + 3x2

Combine like terms: 9x + -9x = 0
-13x2 = -9 + 0 + 3x2
-13x2 = -9 + 3x2

Solving
-13x2 = -9 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-13x2 + -3x2 = -9 + 3x2 + -3x2

Combine like terms: -13x2 + -3x2 = -16x2
-16x2 = -9 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-16x2 = -9 + 0
-16x2 = -9

Divide each side by '-16'.
x2 = 0.5625

Simplifying
x2 = 0.5625

Take the square root of each side:
x = {-0.75, 0.75}

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