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

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


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

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

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

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

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

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

Solving
9 = 4x2

Solving for variable 'x'.

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

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

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

Add '-9' to each side of the equation.
9 + -9 + -4x2 = 0 + -9

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

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

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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