4x(2x+5)=8(x+3)(x-3)

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Solution for 4x(2x+5)=8(x+3)(x-3) equation: 


Simplifying
4x(2x + 5) = 8(x + 3)(x + -3)

Reorder the terms:
4x(5 + 2x) = 8(x + 3)(x + -3)
(5 * 4x + 2x * 4x) = 8(x + 3)(x + -3)
(20x + 8x2) = 8(x + 3)(x + -3)

Reorder the terms:
20x + 8x2 = 8(3 + x)(x + -3)

Reorder the terms:
20x + 8x2 = 8(3 + x)(-3 + x)

Multiply (3 + x) * (-3 + x)
20x + 8x2 = 8(3(-3 + x) + x(-3 + x))
20x + 8x2 = 8((-3 * 3 + x * 3) + x(-3 + x))
20x + 8x2 = 8((-9 + 3x) + x(-3 + x))
20x + 8x2 = 8(-9 + 3x + (-3 * x + x * x))
20x + 8x2 = 8(-9 + 3x + (-3x + x2))

Combine like terms: 3x + -3x = 0
20x + 8x2 = 8(-9 + 0 + x2)
20x + 8x2 = 8(-9 + x2)
20x + 8x2 = (-9 * 8 + x2 * 8)
20x + 8x2 = (-72 + 8x2)

Add '-8x2' to each side of the equation.
20x + 8x2 + -8x2 = -72 + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
20x + 0 = -72 + 8x2 + -8x2
20x = -72 + 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
20x = -72 + 0
20x = -72

Solving
20x = -72

Solving for variable 'x'.

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

Divide each side by '20'.
x = -3.6

Simplifying
x = -3.6

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