x(x-1)=x*x-7

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Solution for x(x-1)=x*x-7 equation:


Simplifying
x(x + -1) = x * x + -7

Reorder the terms:
x(-1 + x) = x * x + -7
(-1 * x + x * x) = x * x + -7
(-1x + x2) = x * x + -7

Multiply x * x
-1x + x2 = x2 + -7

Reorder the terms:
-1x + x2 = -7 + x2

Add '-1x2' to each side of the equation.
-1x + x2 + -1x2 = -7 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1x + 0 = -7 + x2 + -1x2
-1x = -7 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1x = -7 + 0
-1x = -7

Solving
-1x = -7

Solving for variable 'x'.

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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