(4-x)(6+x)=40-(x^2-4x-18)

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Solution for (4-x)(6+x)=40-(x^2-4x-18) equation: 


Simplifying
(4 + -1x)(6 + x) = 40 + -1(x2 + -4x + -18)

Multiply (4 + -1x) * (6 + x)
(4(6 + x) + -1x * (6 + x)) = 40 + -1(x2 + -4x + -18)
((6 * 4 + x * 4) + -1x * (6 + x)) = 40 + -1(x2 + -4x + -18)
((24 + 4x) + -1x * (6 + x)) = 40 + -1(x2 + -4x + -18)
(24 + 4x + (6 * -1x + x * -1x)) = 40 + -1(x2 + -4x + -18)
(24 + 4x + (-6x + -1x2)) = 40 + -1(x2 + -4x + -18)

Combine like terms: 4x + -6x = -2x
(24 + -2x + -1x2) = 40 + -1(x2 + -4x + -18)

Reorder the terms:
24 + -2x + -1x2 = 40 + -1(-18 + -4x + x2)
24 + -2x + -1x2 = 40 + (-18 * -1 + -4x * -1 + x2 * -1)
24 + -2x + -1x2 = 40 + (18 + 4x + -1x2)

Combine like terms: 40 + 18 = 58
24 + -2x + -1x2 = 58 + 4x + -1x2

Add 'x2' to each side of the equation.
24 + -2x + -1x2 + x2 = 58 + 4x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
24 + -2x + 0 = 58 + 4x + -1x2 + x2
24 + -2x = 58 + 4x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
24 + -2x = 58 + 4x + 0
24 + -2x = 58 + 4x

Solving
24 + -2x = 58 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
24 + -2x + -4x = 58 + 4x + -4x

Combine like terms: -2x + -4x = -6x
24 + -6x = 58 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + -6x = 58 + 0
24 + -6x = 58

Add '-24' to each side of the equation.
24 + -24 + -6x = 58 + -24

Combine like terms: 24 + -24 = 0
0 + -6x = 58 + -24
-6x = 58 + -24

Combine like terms: 58 + -24 = 34
-6x = 34

Divide each side by '-6'.
x = -5.666666667

Simplifying
x = -5.666666667

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