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

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


Simplifying
-1(x + -3) * 3 + (x + -3) * x = x + -2 + x2

Reorder the terms:
-1(-3 + x) * 3 + (x + -3) * x = x + -2 + x2

Reorder the terms for easier multiplication:
-1 * 3(-3 + x) + (x + -3) * x = x + -2 + x2

Multiply -1 * 3
-3(-3 + x) + (x + -3) * x = x + -2 + x2
(-3 * -3 + x * -3) + (x + -3) * x = x + -2 + x2
(9 + -3x) + (x + -3) * x = x + -2 + x2

Reorder the terms:
9 + -3x + (-3 + x) * x = x + -2 + x2

Reorder the terms for easier multiplication:
9 + -3x + x(-3 + x) = x + -2 + x2
9 + -3x + (-3 * x + x * x) = x + -2 + x2
9 + -3x + (-3x + x2) = x + -2 + x2

Combine like terms: -3x + -3x = -6x
9 + -6x + x2 = x + -2 + x2

Reorder the terms:
9 + -6x + x2 = -2 + x + x2

Add '-1x2' to each side of the equation.
9 + -6x + x2 + -1x2 = -2 + x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -6x + 0 = -2 + x + x2 + -1x2
9 + -6x = -2 + x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -6x = -2 + x + 0
9 + -6x = -2 + x

Solving
9 + -6x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + -6x + -1x = -2 + x + -1x

Combine like terms: -6x + -1x = -7x
9 + -7x = -2 + x + -1x

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

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

Combine like terms: 9 + -9 = 0
0 + -7x = -2 + -9
-7x = -2 + -9

Combine like terms: -2 + -9 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571

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