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

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


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

Reorder the terms:
5x(2 + x) + 4 = 5(x + 3)(x + -3)
(2 * 5x + x * 5x) + 4 = 5(x + 3)(x + -3)
(10x + 5x2) + 4 = 5(x + 3)(x + -3)

Reorder the terms:
4 + 10x + 5x2 = 5(x + 3)(x + -3)

Reorder the terms:
4 + 10x + 5x2 = 5(3 + x)(x + -3)

Reorder the terms:
4 + 10x + 5x2 = 5(3 + x)(-3 + x)

Multiply (3 + x) * (-3 + x)
4 + 10x + 5x2 = 5(3(-3 + x) + x(-3 + x))
4 + 10x + 5x2 = 5((-3 * 3 + x * 3) + x(-3 + x))
4 + 10x + 5x2 = 5((-9 + 3x) + x(-3 + x))
4 + 10x + 5x2 = 5(-9 + 3x + (-3 * x + x * x))
4 + 10x + 5x2 = 5(-9 + 3x + (-3x + x2))

Combine like terms: 3x + -3x = 0
4 + 10x + 5x2 = 5(-9 + 0 + x2)
4 + 10x + 5x2 = 5(-9 + x2)
4 + 10x + 5x2 = (-9 * 5 + x2 * 5)
4 + 10x + 5x2 = (-45 + 5x2)

Add '-5x2' to each side of the equation.
4 + 10x + 5x2 + -5x2 = -45 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
4 + 10x + 0 = -45 + 5x2 + -5x2
4 + 10x = -45 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
4 + 10x = -45 + 0
4 + 10x = -45

Solving
4 + 10x = -45

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 10x = -45 + -4

Combine like terms: 4 + -4 = 0
0 + 10x = -45 + -4
10x = -45 + -4

Combine like terms: -45 + -4 = -49
10x = -49

Divide each side by '10'.
x = -4.9

Simplifying
x = -4.9

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