x^2+2(3x-2)=x^2+6x-4

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Solution for x^2+2(3x-2)=x^2+6x-4 equation:


Simplifying
x2 + 2(3x + -2) = x2 + 6x + -4

Reorder the terms:
x2 + 2(-2 + 3x) = x2 + 6x + -4
x2 + (-2 * 2 + 3x * 2) = x2 + 6x + -4
x2 + (-4 + 6x) = x2 + 6x + -4

Reorder the terms:
-4 + 6x + x2 = x2 + 6x + -4

Reorder the terms:
-4 + 6x + x2 = -4 + 6x + x2

Add '4' to each side of the equation.
-4 + 6x + 4 + x2 = -4 + 6x + 4 + x2

Reorder the terms:
-4 + 4 + 6x + x2 = -4 + 6x + 4 + x2

Combine like terms: -4 + 4 = 0
0 + 6x + x2 = -4 + 6x + 4 + x2
6x + x2 = -4 + 6x + 4 + x2

Reorder the terms:
6x + x2 = -4 + 4 + 6x + x2

Combine like terms: -4 + 4 = 0
6x + x2 = 0 + 6x + x2
6x + x2 = 6x + x2

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

Combine like terms: 6x + -6x = 0
0 + x2 = 6x + -6x + x2
x2 = 6x + -6x + x2

Combine like terms: 6x + -6x = 0
x2 = 0 + x2
x2 = x2

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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