(X+1)2=x(x-7)+19

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Solution for (X+1)2=x(x-7)+19 equation:


Simplifying
(X + 1) * 2 = x(x + -7) + 19

Reorder the terms:
(1 + X) * 2 = x(x + -7) + 19

Reorder the terms for easier multiplication:
2(1 + X) = x(x + -7) + 19
(1 * 2 + X * 2) = x(x + -7) + 19
(2 + 2X) = x(x + -7) + 19

Reorder the terms:
2 + 2X = x(-7 + x) + 19
2 + 2X = (-7 * x + x * x) + 19
2 + 2X = (-7x + x2) + 19

Reorder the terms:
2 + 2X = 19 + -7x + x2

Solving
2 + 2X = 19 + -7x + x2

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + -2 + 2X = 19 + -7x + -2 + x2

Combine like terms: 2 + -2 = 0
0 + 2X = 19 + -7x + -2 + x2
2X = 19 + -7x + -2 + x2

Reorder the terms:
2X = 19 + -2 + -7x + x2

Combine like terms: 19 + -2 = 17
2X = 17 + -7x + x2

Divide each side by '2'.
X = 8.5 + -3.5x + 0.5x2

Simplifying
X = 8.5 + -3.5x + 0.5x2

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