5x^2+x-4=(5x-4)(x+1)

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Solution for 5x^2+x-4=(5x-4)(x+1) equation: 


Simplifying
5x2 + x + -4 = (5x + -4)(x + 1)

Reorder the terms:
-4 + x + 5x2 = (5x + -4)(x + 1)

Reorder the terms:
-4 + x + 5x2 = (-4 + 5x)(x + 1)

Reorder the terms:
-4 + x + 5x2 = (-4 + 5x)(1 + x)

Multiply (-4 + 5x) * (1 + x)
-4 + x + 5x2 = (-4(1 + x) + 5x * (1 + x))
-4 + x + 5x2 = ((1 * -4 + x * -4) + 5x * (1 + x))
-4 + x + 5x2 = ((-4 + -4x) + 5x * (1 + x))
-4 + x + 5x2 = (-4 + -4x + (1 * 5x + x * 5x))
-4 + x + 5x2 = (-4 + -4x + (5x + 5x2))

Combine like terms: -4x + 5x = 1x
-4 + x + 5x2 = (-4 + 1x + 5x2)

Add '4' to each side of the equation.
-4 + x + 4 + 5x2 = -4 + 1x + 4 + 5x2

Reorder the terms:
-4 + 4 + x + 5x2 = -4 + 1x + 4 + 5x2

Combine like terms: -4 + 4 = 0
0 + x + 5x2 = -4 + 1x + 4 + 5x2
x + 5x2 = -4 + 1x + 4 + 5x2

Reorder the terms:
x + 5x2 = -4 + 4 + 1x + 5x2

Combine like terms: -4 + 4 = 0
x + 5x2 = 0 + 1x + 5x2
x + 5x2 = 1x + 5x2

Add '-5x2' to each side of the equation.
x + 5x2 + -5x2 = 1x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
x + 0 = 1x + 5x2 + -5x2
x = 1x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
x = 1x + 0
x = 1x

Solving
x = 1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

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

Simplifying
0 = 0

The solution to this equation could not be determined.

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