4x^2-6x=-5

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Solution for 4x^2-6x=-5 equation:


Simplifying
4x2 + -6x = -5

Reorder the terms:
-6x + 4x2 = -5

Solving
-6x + 4x2 = -5

Solving for variable 'x'.

Reorder the terms:
5 + -6x + 4x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -6x + 4x2 = 0

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

Divide each side by '4'.
1.25 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1.5x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1.5x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1.5x + x2 = 0 + -1.25
-1.5x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1.5x + x2 = -1.25

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -1.25 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -1.25 + 0.5625

Combine like terms: -1.25 + 0.5625 = -0.6875
0.5625 + -1.5x + x2 = -0.6875

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -0.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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