x(2x-5)=-7

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Solution for x(2x-5)=-7 equation:


Simplifying
x(2x + -5) = -7

Reorder the terms:
x(-5 + 2x) = -7
(-5 * x + 2x * x) = -7
(-5x + 2x2) = -7

Solving
-5x + 2x2 = -7

Solving for variable 'x'.

Reorder the terms:
7 + -5x + 2x2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -5x + 2x2 = 0

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

Divide each side by '2'.
3.5 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -2.5x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -2.5x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -2.5x + x2 = 0 + -3.5
-2.5x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-2.5x + x2 = -3.5

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -3.5 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -3.5 + 1.5625

Combine like terms: -3.5 + 1.5625 = -1.9375
1.5625 + -2.5x + x2 = -1.9375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -1.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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