(x+3)(2x-7)+9=(2x-7)(x+3)+9

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Solution for (x+3)(2x-7)+9=(2x-7)(x+3)+9 equation:


Simplifying
(x + 3)(2x + -7) + 9 = (2x + -7)(x + 3) + 9

Reorder the terms:
(3 + x)(2x + -7) + 9 = (2x + -7)(x + 3) + 9

Reorder the terms:
(3 + x)(-7 + 2x) + 9 = (2x + -7)(x + 3) + 9

Multiply (3 + x) * (-7 + 2x)
(3(-7 + 2x) + x(-7 + 2x)) + 9 = (2x + -7)(x + 3) + 9
((-7 * 3 + 2x * 3) + x(-7 + 2x)) + 9 = (2x + -7)(x + 3) + 9
((-21 + 6x) + x(-7 + 2x)) + 9 = (2x + -7)(x + 3) + 9
(-21 + 6x + (-7 * x + 2x * x)) + 9 = (2x + -7)(x + 3) + 9
(-21 + 6x + (-7x + 2x2)) + 9 = (2x + -7)(x + 3) + 9

Combine like terms: 6x + -7x = -1x
(-21 + -1x + 2x2) + 9 = (2x + -7)(x + 3) + 9

Reorder the terms:
-21 + 9 + -1x + 2x2 = (2x + -7)(x + 3) + 9

Combine like terms: -21 + 9 = -12
-12 + -1x + 2x2 = (2x + -7)(x + 3) + 9

Reorder the terms:
-12 + -1x + 2x2 = (-7 + 2x)(x + 3) + 9

Reorder the terms:
-12 + -1x + 2x2 = (-7 + 2x)(3 + x) + 9

Multiply (-7 + 2x) * (3 + x)
-12 + -1x + 2x2 = (-7(3 + x) + 2x * (3 + x)) + 9
-12 + -1x + 2x2 = ((3 * -7 + x * -7) + 2x * (3 + x)) + 9
-12 + -1x + 2x2 = ((-21 + -7x) + 2x * (3 + x)) + 9
-12 + -1x + 2x2 = (-21 + -7x + (3 * 2x + x * 2x)) + 9
-12 + -1x + 2x2 = (-21 + -7x + (6x + 2x2)) + 9

Combine like terms: -7x + 6x = -1x
-12 + -1x + 2x2 = (-21 + -1x + 2x2) + 9

Reorder the terms:
-12 + -1x + 2x2 = -21 + 9 + -1x + 2x2

Combine like terms: -21 + 9 = -12
-12 + -1x + 2x2 = -12 + -1x + 2x2

Add '12' to each side of the equation.
-12 + -1x + 12 + 2x2 = -12 + -1x + 12 + 2x2

Reorder the terms:
-12 + 12 + -1x + 2x2 = -12 + -1x + 12 + 2x2

Combine like terms: -12 + 12 = 0
0 + -1x + 2x2 = -12 + -1x + 12 + 2x2
-1x + 2x2 = -12 + -1x + 12 + 2x2

Reorder the terms:
-1x + 2x2 = -12 + 12 + -1x + 2x2

Combine like terms: -12 + 12 = 0
-1x + 2x2 = 0 + -1x + 2x2
-1x + 2x2 = -1x + 2x2

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

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

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

Add '-2x2' to each side of the equation.
2x2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 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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