X(X-2)+9=X(X+7)

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Solution for X(X-2)+9=X(X+7) equation:


Simplifying
X(X + -2) + 9 = X(X + 7)

Reorder the terms:
X(-2 + X) + 9 = X(X + 7)
(-2 * X + X * X) + 9 = X(X + 7)
(-2X + X2) + 9 = X(X + 7)

Reorder the terms:
9 + -2X + X2 = X(X + 7)

Reorder the terms:
9 + -2X + X2 = X(7 + X)
9 + -2X + X2 = (7 * X + X * X)
9 + -2X + X2 = (7X + X2)

Add '-1X2' to each side of the equation.
9 + -2X + X2 + -1X2 = 7X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
9 + -2X + 0 = 7X + X2 + -1X2
9 + -2X = 7X + X2 + -1X2

Combine like terms: X2 + -1X2 = 0
9 + -2X = 7X + 0
9 + -2X = 7X

Solving
9 + -2X = 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
9 + -2X + -7X = 7X + -7X

Combine like terms: -2X + -7X = -9X
9 + -9X = 7X + -7X

Combine like terms: 7X + -7X = 0
9 + -9X = 0

Add '-9' to each side of the equation.
9 + -9 + -9X = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -9X = 0 + -9
-9X = 0 + -9

Combine like terms: 0 + -9 = -9
-9X = -9

Divide each side by '-9'.
X = 1

Simplifying
X = 1

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