5-x(x+3)=-(x+5)(x+11)

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Solution for 5-x(x+3)=-(x+5)(x+11) equation:


Simplifying
5 + -1x(x + 3) = -1(x + 5)(x + 11)

Reorder the terms:
5 + -1x(3 + x) = -1(x + 5)(x + 11)
5 + (3 * -1x + x * -1x) = -1(x + 5)(x + 11)
5 + (-3x + -1x2) = -1(x + 5)(x + 11)

Reorder the terms:
5 + -3x + -1x2 = -1(5 + x)(x + 11)

Reorder the terms:
5 + -3x + -1x2 = -1(5 + x)(11 + x)

Multiply (5 + x) * (11 + x)
5 + -3x + -1x2 = -1(5(11 + x) + x(11 + x))
5 + -3x + -1x2 = -1((11 * 5 + x * 5) + x(11 + x))
5 + -3x + -1x2 = -1((55 + 5x) + x(11 + x))
5 + -3x + -1x2 = -1(55 + 5x + (11 * x + x * x))
5 + -3x + -1x2 = -1(55 + 5x + (11x + x2))

Combine like terms: 5x + 11x = 16x
5 + -3x + -1x2 = -1(55 + 16x + x2)
5 + -3x + -1x2 = (55 * -1 + 16x * -1 + x2 * -1)
5 + -3x + -1x2 = (-55 + -16x + -1x2)

Add 'x2' to each side of the equation.
5 + -3x + -1x2 + x2 = -55 + -16x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + -3x + 0 = -55 + -16x + -1x2 + x2
5 + -3x = -55 + -16x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + -3x = -55 + -16x + 0
5 + -3x = -55 + -16x

Solving
5 + -3x = -55 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
5 + -3x + 16x = -55 + -16x + 16x

Combine like terms: -3x + 16x = 13x
5 + 13x = -55 + -16x + 16x

Combine like terms: -16x + 16x = 0
5 + 13x = -55 + 0
5 + 13x = -55

Add '-5' to each side of the equation.
5 + -5 + 13x = -55 + -5

Combine like terms: 5 + -5 = 0
0 + 13x = -55 + -5
13x = -55 + -5

Combine like terms: -55 + -5 = -60
13x = -60

Divide each side by '13'.
x = -4.615384615

Simplifying
x = -4.615384615

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