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

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


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

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

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

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

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

Combine like terms: 1x + -12x = -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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