(2x+7)(3x-2)=6x^2+17x-14

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Solution for (2x+7)(3x-2)=6x^2+17x-14 equation: 


Simplifying
(2x + 7)(3x + -2) = 6x2 + 17x + -14

Reorder the terms:
(7 + 2x)(3x + -2) = 6x2 + 17x + -14

Reorder the terms:
(7 + 2x)(-2 + 3x) = 6x2 + 17x + -14

Multiply (7 + 2x) * (-2 + 3x)
(7(-2 + 3x) + 2x * (-2 + 3x)) = 6x2 + 17x + -14
((-2 * 7 + 3x * 7) + 2x * (-2 + 3x)) = 6x2 + 17x + -14
((-14 + 21x) + 2x * (-2 + 3x)) = 6x2 + 17x + -14
(-14 + 21x + (-2 * 2x + 3x * 2x)) = 6x2 + 17x + -14
(-14 + 21x + (-4x + 6x2)) = 6x2 + 17x + -14

Combine like terms: 21x + -4x = 17x
(-14 + 17x + 6x2) = 6x2 + 17x + -14

Reorder the terms:
-14 + 17x + 6x2 = -14 + 17x + 6x2

Add '14' to each side of the equation.
-14 + 17x + 14 + 6x2 = -14 + 17x + 14 + 6x2

Reorder the terms:
-14 + 14 + 17x + 6x2 = -14 + 17x + 14 + 6x2

Combine like terms: -14 + 14 = 0
0 + 17x + 6x2 = -14 + 17x + 14 + 6x2
17x + 6x2 = -14 + 17x + 14 + 6x2

Reorder the terms:
17x + 6x2 = -14 + 14 + 17x + 6x2

Combine like terms: -14 + 14 = 0
17x + 6x2 = 0 + 17x + 6x2
17x + 6x2 = 17x + 6x2

Add '-17x' to each side of the equation.
17x + -17x + 6x2 = 17x + -17x + 6x2

Combine like terms: 17x + -17x = 0
0 + 6x2 = 17x + -17x + 6x2
6x2 = 17x + -17x + 6x2

Combine like terms: 17x + -17x = 0
6x2 = 0 + 6x2
6x2 = 6x2

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

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

Combine like terms: 6x2 + -6x2 = 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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