10-x(x+2)=14-x^2

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Solution for 10-x(x+2)=14-x^2 equation:


Simplifying
10 + -1x(x + 2) = 14 + -1x2

Reorder the terms:
10 + -1x(2 + x) = 14 + -1x2
10 + (2 * -1x + x * -1x) = 14 + -1x2
10 + (-2x + -1x2) = 14 + -1x2

Add 'x2' to each side of the equation.
10 + -2x + -1x2 + x2 = 14 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
10 + -2x + 0 = 14 + -1x2 + x2
10 + -2x = 14 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
10 + -2x = 14 + 0
10 + -2x = 14

Solving
10 + -2x = 14

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -2x = 14 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 14 + -10
-2x = 14 + -10

Combine like terms: 14 + -10 = 4
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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