x(8x+3)=4(2x^2+9)

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Solution for x(8x+3)=4(2x^2+9) equation: 


Simplifying
x(8x + 3) = 4(2x2 + 9)

Reorder the terms:
x(3 + 8x) = 4(2x2 + 9)
(3 * x + 8x * x) = 4(2x2 + 9)
(3x + 8x2) = 4(2x2 + 9)

Reorder the terms:
3x + 8x2 = 4(9 + 2x2)
3x + 8x2 = (9 * 4 + 2x2 * 4)
3x + 8x2 = (36 + 8x2)

Add '-8x2' to each side of the equation.
3x + 8x2 + -8x2 = 36 + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
3x + 0 = 36 + 8x2 + -8x2
3x = 36 + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
3x = 36 + 0
3x = 36

Solving
3x = 36

Solving for variable 'x'.

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

Divide each side by '3'.
x = 12

Simplifying
x = 12

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