(X+3)2-x(x-4)=29

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Solution for (X+3)2-x(x-4)=29 equation:


Simplifying
(X + 3) * 2 + -1x(x + -4) = 29

Reorder the terms:
(3 + X) * 2 + -1x(x + -4) = 29

Reorder the terms for easier multiplication:
2(3 + X) + -1x(x + -4) = 29
(3 * 2 + X * 2) + -1x(x + -4) = 29
(6 + 2X) + -1x(x + -4) = 29

Reorder the terms:
6 + 2X + -1x(-4 + x) = 29
6 + 2X + (-4 * -1x + x * -1x) = 29
6 + 2X + (4x + -1x2) = 29

Solving
6 + 2X + 4x + -1x2 = 29

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + 2X + 4x + -6 + -1x2 = 29 + -6

Reorder the terms:
6 + -6 + 2X + 4x + -1x2 = 29 + -6

Combine like terms: 6 + -6 = 0
0 + 2X + 4x + -1x2 = 29 + -6
2X + 4x + -1x2 = 29 + -6

Combine like terms: 29 + -6 = 23
2X + 4x + -1x2 = 23

Add '-4x' to each side of the equation.
2X + 4x + -4x + -1x2 = 23 + -4x

Combine like terms: 4x + -4x = 0
2X + 0 + -1x2 = 23 + -4x
2X + -1x2 = 23 + -4x

Add 'x2' to each side of the equation.
2X + -1x2 + x2 = 23 + -4x + x2

Combine like terms: -1x2 + x2 = 0
2X + 0 = 23 + -4x + x2
2X = 23 + -4x + x2

Divide each side by '2'.
X = 11.5 + -2x + 0.5x2

Simplifying
X = 11.5 + -2x + 0.5x2

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