x(x+3)+34=(x-5)(x+2)

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Solution for x(x+3)+34=(x-5)(x+2) equation: 


Simplifying
x(x + 3) + 34 = (x + -5)(x + 2)

Reorder the terms:
x(3 + x) + 34 = (x + -5)(x + 2)
(3 * x + x * x) + 34 = (x + -5)(x + 2)
(3x + x2) + 34 = (x + -5)(x + 2)

Reorder the terms:
34 + 3x + x2 = (x + -5)(x + 2)

Reorder the terms:
34 + 3x + x2 = (-5 + x)(x + 2)

Reorder the terms:
34 + 3x + x2 = (-5 + x)(2 + x)

Multiply (-5 + x) * (2 + x)
34 + 3x + x2 = (-5(2 + x) + x(2 + x))
34 + 3x + x2 = ((2 * -5 + x * -5) + x(2 + x))
34 + 3x + x2 = ((-10 + -5x) + x(2 + x))
34 + 3x + x2 = (-10 + -5x + (2 * x + x * x))
34 + 3x + x2 = (-10 + -5x + (2x + x2))

Combine like terms: -5x + 2x = -3x
34 + 3x + x2 = (-10 + -3x + x2)

Add '-1x2' to each side of the equation.
34 + 3x + x2 + -1x2 = -10 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
34 + 3x + 0 = -10 + -3x + x2 + -1x2
34 + 3x = -10 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
34 + 3x = -10 + -3x + 0
34 + 3x = -10 + -3x

Solving
34 + 3x = -10 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
34 + 3x + 3x = -10 + -3x + 3x

Combine like terms: 3x + 3x = 6x
34 + 6x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
34 + 6x = -10 + 0
34 + 6x = -10

Add '-34' to each side of the equation.
34 + -34 + 6x = -10 + -34

Combine like terms: 34 + -34 = 0
0 + 6x = -10 + -34
6x = -10 + -34

Combine like terms: -10 + -34 = -44
6x = -44

Divide each side by '6'.
x = -7.333333333

Simplifying
x = -7.333333333

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