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

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


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

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

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

Multiply (-5 + 9x) * (1 + x)
(-5(1 + x) + 9x * (1 + x)) = 4x
((1 * -5 + x * -5) + 9x * (1 + x)) = 4x
((-5 + -5x) + 9x * (1 + x)) = 4x
(-5 + -5x + (1 * 9x + x * 9x)) = 4x
(-5 + -5x + (9x + 9x2)) = 4x

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

Add '-4x' to each side of the equation.
-5 + 4x + -4x + 9x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 0 + 9x2 = 4x + -4x
-5 + 9x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 9x2 = 0

Solving
-5 + 9x2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 9x2 = 0 + 5

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

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

Divide each side by '9'.
x2 = 0.5555555556

Simplifying
x2 = 0.5555555556

Take the square root of each side:
x = {-0.745355993, 0.745355993}

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