x(x-3)=x^2+7x+7

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Solution for x(x-3)=x^2+7x+7 equation:


Simplifying
x(x + -3) = x2 + 7x + 7

Reorder the terms:
x(-3 + x) = x2 + 7x + 7
(-3 * x + x * x) = x2 + 7x + 7
(-3x + x2) = x2 + 7x + 7

Reorder the terms:
-3x + x2 = 7 + 7x + x2

Add '-1x2' to each side of the equation.
-3x + x2 + -1x2 = 7 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3x + 0 = 7 + 7x + x2 + -1x2
-3x = 7 + 7x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3x = 7 + 7x + 0
-3x = 7 + 7x

Solving
-3x = 7 + 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.
-3x + -7x = 7 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-10x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10x = 7 + 0
-10x = 7

Divide each side by '-10'.
x = -0.7

Simplifying
x = -0.7

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