12x^2-7x-12=(4x+3)(3x-4)

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Solution for 12x^2-7x-12=(4x+3)(3x-4) equation: 


Simplifying
12x2 + -7x + -12 = (4x + 3)(3x + -4)

Reorder the terms:
-12 + -7x + 12x2 = (4x + 3)(3x + -4)

Reorder the terms:
-12 + -7x + 12x2 = (3 + 4x)(3x + -4)

Reorder the terms:
-12 + -7x + 12x2 = (3 + 4x)(-4 + 3x)

Multiply (3 + 4x) * (-4 + 3x)
-12 + -7x + 12x2 = (3(-4 + 3x) + 4x * (-4 + 3x))
-12 + -7x + 12x2 = ((-4 * 3 + 3x * 3) + 4x * (-4 + 3x))
-12 + -7x + 12x2 = ((-12 + 9x) + 4x * (-4 + 3x))
-12 + -7x + 12x2 = (-12 + 9x + (-4 * 4x + 3x * 4x))
-12 + -7x + 12x2 = (-12 + 9x + (-16x + 12x2))

Combine like terms: 9x + -16x = -7x
-12 + -7x + 12x2 = (-12 + -7x + 12x2)

Add '12' to each side of the equation.
-12 + -7x + 12 + 12x2 = -12 + -7x + 12 + 12x2

Reorder the terms:
-12 + 12 + -7x + 12x2 = -12 + -7x + 12 + 12x2

Combine like terms: -12 + 12 = 0
0 + -7x + 12x2 = -12 + -7x + 12 + 12x2
-7x + 12x2 = -12 + -7x + 12 + 12x2

Reorder the terms:
-7x + 12x2 = -12 + 12 + -7x + 12x2

Combine like terms: -12 + 12 = 0
-7x + 12x2 = 0 + -7x + 12x2
-7x + 12x2 = -7x + 12x2

Add '7x' to each side of the equation.
-7x + 7x + 12x2 = -7x + 7x + 12x2

Combine like terms: -7x + 7x = 0
0 + 12x2 = -7x + 7x + 12x2
12x2 = -7x + 7x + 12x2

Combine like terms: -7x + 7x = 0
12x2 = 0 + 12x2
12x2 = 12x2

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

Combine like terms: 12x2 + -12x2 = 0
0 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 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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