3x^2+11x-4=(x+4)(3x-1)

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Solution for 3x^2+11x-4=(x+4)(3x-1) equation:


Simplifying
3x2 + 11x + -4 = (x + 4)(3x + -1)

Reorder the terms:
-4 + 11x + 3x2 = (x + 4)(3x + -1)

Reorder the terms:
-4 + 11x + 3x2 = (4 + x)(3x + -1)

Reorder the terms:
-4 + 11x + 3x2 = (4 + x)(-1 + 3x)

Multiply (4 + x) * (-1 + 3x)
-4 + 11x + 3x2 = (4(-1 + 3x) + x(-1 + 3x))
-4 + 11x + 3x2 = ((-1 * 4 + 3x * 4) + x(-1 + 3x))
-4 + 11x + 3x2 = ((-4 + 12x) + x(-1 + 3x))
-4 + 11x + 3x2 = (-4 + 12x + (-1 * x + 3x * x))
-4 + 11x + 3x2 = (-4 + 12x + (-1x + 3x2))

Combine like terms: 12x + -1x = 11x
-4 + 11x + 3x2 = (-4 + 11x + 3x2)

Add '4' to each side of the equation.
-4 + 11x + 4 + 3x2 = -4 + 11x + 4 + 3x2

Reorder the terms:
-4 + 4 + 11x + 3x2 = -4 + 11x + 4 + 3x2

Combine like terms: -4 + 4 = 0
0 + 11x + 3x2 = -4 + 11x + 4 + 3x2
11x + 3x2 = -4 + 11x + 4 + 3x2

Reorder the terms:
11x + 3x2 = -4 + 4 + 11x + 3x2

Combine like terms: -4 + 4 = 0
11x + 3x2 = 0 + 11x + 3x2
11x + 3x2 = 11x + 3x2

Add '-11x' to each side of the equation.
11x + -11x + 3x2 = 11x + -11x + 3x2

Combine like terms: 11x + -11x = 0
0 + 3x2 = 11x + -11x + 3x2
3x2 = 11x + -11x + 3x2

Combine like terms: 11x + -11x = 0
3x2 = 0 + 3x2
3x2 = 3x2

Add '-3x2' to each side of the equation.
3x2 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 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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