(4x-1)(x-3)=-25

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Solution for (4x-1)(x-3)=-25 equation: 


Simplifying
(4x + -1)(x + -3) = -25

Reorder the terms:
(-1 + 4x)(x + -3) = -25

Reorder the terms:
(-1 + 4x)(-3 + x) = -25

Multiply (-1 + 4x) * (-3 + x)
(-1(-3 + x) + 4x * (-3 + x)) = -25
((-3 * -1 + x * -1) + 4x * (-3 + x)) = -25
((3 + -1x) + 4x * (-3 + x)) = -25
(3 + -1x + (-3 * 4x + x * 4x)) = -25
(3 + -1x + (-12x + 4x2)) = -25

Combine like terms: -1x + -12x = -13x
(3 + -13x + 4x2) = -25

Solving
3 + -13x + 4x2 = -25

Solving for variable 'x'.

Reorder the terms:
3 + 25 + -13x + 4x2 = -25 + 25

Combine like terms: 3 + 25 = 28
28 + -13x + 4x2 = -25 + 25

Combine like terms: -25 + 25 = 0
28 + -13x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
7 + -3.25x + x2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -3.25x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -3.25x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3.25x + x2 = 0 + -7
-3.25x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-3.25x + x2 = -7

The x term is -3.25x.  Take half its coefficient (-1.625).
Square it (2.640625) and add it to both sides.

Add '2.640625' to each side of the equation.
-3.25x + 2.640625 + x2 = -7 + 2.640625

Reorder the terms:
2.640625 + -3.25x + x2 = -7 + 2.640625

Combine like terms: -7 + 2.640625 = -4.359375
2.640625 + -3.25x + x2 = -4.359375

Factor a perfect square on the left side:
(x + -1.625)(x + -1.625) = -4.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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