5x+9=9x(x+1)-4x

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Solution for 5x+9=9x(x+1)-4x equation: 


Simplifying
5x + 9 = 9x(x + 1) + -4x

Reorder the terms:
9 + 5x = 9x(x + 1) + -4x

Reorder the terms:
9 + 5x = 9x(1 + x) + -4x
9 + 5x = (1 * 9x + x * 9x) + -4x
9 + 5x = (9x + 9x2) + -4x

Reorder the terms:
9 + 5x = 9x + -4x + 9x2

Combine like terms: 9x + -4x = 5x
9 + 5x = 5x + 9x2

Add '-5x' to each side of the equation.
9 + 5x + -5x = 5x + -5x + 9x2

Combine like terms: 5x + -5x = 0
9 + 0 = 5x + -5x + 9x2
9 = 5x + -5x + 9x2

Combine like terms: 5x + -5x = 0
9 = 0 + 9x2
9 = 9x2

Solving
9 = 9x2

Solving for variable 'x'.

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

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

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

Add '-9' to each side of the equation.
9 + -9 + -9x2 = 0 + -9

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

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

Divide each side by '-9'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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