4x^2-7x-2=(4x+1)(x-1)

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Solution for 4x^2-7x-2=(4x+1)(x-1) equation:


Simplifying
4x2 + -7x + -2 = (4x + 1)(x + -1)

Reorder the terms:
-2 + -7x + 4x2 = (4x + 1)(x + -1)

Reorder the terms:
-2 + -7x + 4x2 = (1 + 4x)(x + -1)

Reorder the terms:
-2 + -7x + 4x2 = (1 + 4x)(-1 + x)

Multiply (1 + 4x) * (-1 + x)
-2 + -7x + 4x2 = (1(-1 + x) + 4x * (-1 + x))
-2 + -7x + 4x2 = ((-1 * 1 + x * 1) + 4x * (-1 + x))
-2 + -7x + 4x2 = ((-1 + 1x) + 4x * (-1 + x))
-2 + -7x + 4x2 = (-1 + 1x + (-1 * 4x + x * 4x))
-2 + -7x + 4x2 = (-1 + 1x + (-4x + 4x2))

Combine like terms: 1x + -4x = -3x
-2 + -7x + 4x2 = (-1 + -3x + 4x2)

Add '-4x2' to each side of the equation.
-2 + -7x + 4x2 + -4x2 = -1 + -3x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-2 + -7x + 0 = -1 + -3x + 4x2 + -4x2
-2 + -7x = -1 + -3x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-2 + -7x = -1 + -3x + 0
-2 + -7x = -1 + -3x

Solving
-2 + -7x = -1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-2 + -7x + 3x = -1 + -3x + 3x

Combine like terms: -7x + 3x = -4x
-2 + -4x = -1 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + -4x = -1 + 0
-2 + -4x = -1

Add '2' to each side of the equation.
-2 + 2 + -4x = -1 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -1 + 2
-4x = -1 + 2

Combine like terms: -1 + 2 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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