4x(x+4)=9+16x

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Solution for 4x(x+4)=9+16x equation: 


Simplifying
4x(x + 4) = 9 + 16x

Reorder the terms:
4x(4 + x) = 9 + 16x
(4 * 4x + x * 4x) = 9 + 16x
(16x + 4x2) = 9 + 16x

Add '-16x' to each side of the equation.
16x + -16x + 4x2 = 9 + 16x + -16x

Combine like terms: 16x + -16x = 0
0 + 4x2 = 9 + 16x + -16x
4x2 = 9 + 16x + -16x

Combine like terms: 16x + -16x = 0
4x2 = 9 + 0
4x2 = 9

Solving
4x2 = 9

Solving for variable 'x'.

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

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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